Which triangles could not be similar to triangle ABC ? triangle a b c where angle b is a right angle. Side a b is 15 cm. Side b c is 8 cm. Side a c is 17 cm. Select each correct answer. Right triangle G H I with right angle at H. G H is 77 centimeters. G I is 85 centimeters. H I is 36 centimeters. Right triangle J K L with right angle at K. J K is 60 centimeters. J L is 68 centimeters. K L is 32 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle D E F with right angle at E. D E is 22. 5 centimeters. D F is 25. 5 centimeters. E F is 12 centimeters

Answers

Answer 1

Answer:

The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The dimension of the triangle ABC is 15 cm, 17 cm, and 8 cm. And the triangle is a right-angle triangle. Then the other two angles are given as,

sin θ = 15 / 17

sin θ = 0.88235

θ = 61.93°

∅ = 90° - 61.93°

∅ = 28.07°

Let's check all the options. Then we have

A. 22.5 cm / 25.5 cm, then the sine of the angle is given as,

sin x = 22.5 / 25.5

x = 61.93°

B. 60 cm / 68 cm, then the sine of an angle is given as,

sin x = 60/68

x = 61.93°

C. 77 cm / 85 cm, then the sine of an angle is given as,

sin x = 77/85

x = 64.94°

D. 35 cm / 37 cm, then the sine of an angle is given as,

sin x = 35/37

x = 71.08°

The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.

Correct me if im wrong :)


Related Questions

PLEASE THIS IS REALLY ARGENT

Two simultaneous equations are given below, where p and q are constants.
3x-py = 4
4x-3y + q = 0
The solution to these equations is x = 1, y = 2.
Find the value of p and q.

Answers

To find the values of p and q, we can use the given solution of x = 1 and y = 2.

Substituting these values into the first equation, we get:

3x - py = 4
3 * 1 - p * 2 = 4
3 - 2p = 4
-2p = 1
p = -1/2

Substituting these values into the second equation, we get:

4x - 3y + q = 0
4 * 1 - 3 * 2 + q = 0
4 - 6 + q = 0
-2 + q = 0
q = 2

So the solution to the system of equations is x = 1, y = 2, p = -1/2, and q = 2.

PLEASE help me understand the steps to solve this i feel like crying i dont understand

Answers

Answer:

4

Step-by-step explanation:

First:

(-2 1/2)*(-1 3/5) = 2.5*1.6

Second:

2.5*1.6=5/2*8/5

Third:

5/2*8/5=

4

Consider the sequence 7, 3, –1, –5, –9, ... a. What kind of sequence is it? Explain how you know. b. Write a rule t(n) for each term in the sequence, where n is the term number.

Answers

The sequence is an arithmetic sequence.

A rule for each term is t(n) = 7 - 4(n - 1).

What is Arithmetic Sequence?

Arithmetic sequence is a sequence of numbers where the numbers are arranged in a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.

Given sequence is 7, 3, –1, –5, –9, ....

First term = 7

Second term = 7 + -4 = 3

Third term = 7 + (-4 × 2) = -1

....................

Here each term is getting by adding -4 to the preceding term.

So -4 is the common difference.

nth term of the sequence is t(n) = 7 - 4(n - 1).

Hence the sequence is arithmetic sequence and any term of the sequence is t(n) = 7 - 4(n - 1).

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I NEED HELP ON THIS ASAP!!!

Answers

Answer: Look below :)

Step-by-step explanation:

I graphed the inequality below:

from that we can see:

a. Points on the line are combinations of US/Mexico minutes he can do where all of his prepaid money will be used, For example, he could do 50 USA minutes and 80 Mexico minutes, and there would be no money left to spend

b. Points above the line are combinations of US/Mexico minutes that will cost him more than the prepaid $50.

c. Points below the line are combinations of US/Mexico minutes that will leave him with money left over from his $50.

I hope this makes sense! ask questions if you have any :)

What is the correct equation for this word problem?

Please help me ASAP thank you!
Sophia brought some almonds from the store. She handed the cashier $15 and received $5 in change. Mr. Boone is buying an app for the class. The app costs a dollars per student and he has 32 students. He spends $96. How much is the app per student?

Answers

The cost per student for the app is $3, and can be found by dividing the total cost of $96 by the number of students, 32, which equals $3 per student.

Let x be the cost of the almonds Sophia bought and y be the cost of the app per student. Then, we have the subsequent two equations:

x + $5 = $15

32y = $96

To find the cost of the app per student, we can solve for y in the second equation:

y = $96 / 32 = $3

So the app costs $3 per student.

To find the cost of the app per student, we need to find the total cost of the app and then divide it by the number of students. Mr. Boone spent $96 on the app for 32 students, so the cost per student would be $96 / 32 = $3. This means that each student paid $3 for the app.

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Groundhog Day predictions have a 39% accuracy. How baby times should we expect to be correct over the next 38 years? *PLEASE HELP*

Answers

It would be expected to be correct approximately 14.82 times over the next 38 years, based on the 39% accuracy of Groundhog Day predictions.

What is the expected value?

The expected value, also known as the mathematical expectation, is a key concept in probability theory and statistics.

Here,
Groundhog Day predictions have a 39% accuracy, so on average, 39% of the predictions made on Groundhog Day are correct.

To find the expected number of correct predictions over the next 38 years, we can multiply the accuracy of the predictions (39%) by the number of predictions made (38),

39% * 38 = 14.82

So, we would expect to be correct approximately 14.82 times over the next 38 years, based on the 39% accuracy of Groundhog Day predictions.

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Team % of Volume Items processed per person per hour Picking 100% 150 Packing Group A 35% 105 Packing Group B 65% 70 Shipping 100% 175 How many items will be processed by Packing Group B in order to ship a total of 168,000 units for the shift? 46 70 84,000 109,200 168,000

Answers

By using shipping volume, Packing Group B needs to process 168,000 units in order to ship a total of 168,000 units for the shift.

To solve this problem, we need to work backwards from the shipping volume and use the given processing rates to determine the required processing volumes for each stage of the process.

First, we can calculate the total number of hours of packing and shipping required to process 168,000 units:

168,000 units ÷ 175 units per person per hour = 960 hours

Next, we can determine the volume of items that need to be packed by Group B in order to ship this total volume. Since Group B processes 65% of the volume, we can set up the following equation:

0.65x = 168,000 units

where x is the total volume of items processed by all packing groups. Solving for x, we get:

x = 168,000 units ÷ 0.65 = 258,461.54 units

So the total volume of items processed by all packing groups is approximately 258,461.54 units. We can now use the given processing rates to determine the required processing volumes for each stage:

Picking: 100% of 258,461.54 units = 258,461.54 units

Packing Group A: 35% of 258,461.54 units = 90,461.54 units

Packing Group B: 65% of 258,461.54 units = 168,000 units

Therefore, Packing Group B needs to process 168,000 units in order to ship a total of 168,000 units for the shift. The answer is 168,000.

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____The given question is incorrect, the correct question is given below:

Team % of Volume Items processed per person per hour Picking 100% 150 Packing Group A 35% 105 Packing Group B 65% 70 Shipping 100% 175 How many items will be processed by Packing Group B in order to ship a total of 168,000 units for the shift?

46,  

70,  

84,000,  

109,200,  

168,000

pls help due now!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B.

The equation you can use to find the area of a sphere when given radius is:

V = 4/3πr 3

Fitting 5 into the equation:

V = 4/3π5 3

V = 523.598776

Therefore, B is the correct answer.

Simplify the expression below:

14^2 - 24 / 3(2)
--------------------- (divided by)
|-3 + 2(6)|

Answers

Answer:

I got 20 when calculating this

60. MODELING REAL LIFE You are designing an
obstacle course along a straight path. The distance
between obstacle three and obstacle seven is the
same as the distance between obstacle four and
obstacle nine. Show that the distance between
obstacle three and obstacle four is the same as the
distance between obstacle seven and obstacle nine.

Answers

By expression, x - y = x' - y' , Distance of 3rd and 4th obstacle is equal to distance of 7th and 9th obstacle.

What is distance?

Distance is a numerical measurement of how far apart objects or points are, it is the length along a line or line segment between two points on the line or line segment.

Given,

The distance between obstacle three and obstacle seven is the same as the distance between obstacle four and obstacle nine.

Distance of 7th obstacle = x

Let,

Distance of 9th obstacle = y

Distance of 3rd obstacle = x'

Distance of 4th obstacle = y'

Distance between obstacle 3 and 7 = x - x'

Distance between obstacle 4 and 9 = y - y'

Distance between obstacle three and obstacle four = x' - y'

Distance between obstacle seven and obstacle nine.= x - y

According to the question

x-x' = y-y'

⇒ x - y = x' - y'

Hence, Distance between third and fourth obstacle is same as distance between 7th and 9th obstacle.

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the following frequency table represents the number of drinks someone has in a week for 40 people. what is the 70th percentile of the data?

Answers

Answer:

Step-by-step explanation:

HELP ME PLEASE ASAP! I NEED TO PASS THIS CLASS BY MONDAY!

Answers

The length of the two sides of the given right triangle is 5√2

What is a right triangle?

A triangle with an angle right angle is called a right triangle.

Given that, a right triangle, with an acute angle of 45° and the length of hypotenuse is 10 units,

We need to find the length of two sides u and v,

The sum of a triangle is 180°, and if one angle is 90° and the other is 45° therefore, the third is also 45°

Now, we know that, sides opposite to equal angles are equal,

Therefore, v = u,

Now, using the Pythagoras theorem,

10² = v²+u²

v² + v² = 100

2v² = 100

v² = 50

v = 5√2

u = 5√2

Hence, the length of the two sides of the given right triangle is 5√2

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A recipe calls for 6 cups of flour to make 24 pancakes. How many pancakes
can be made with a single cup of flour?
On the double number line below, fill in the given values, then use
multiplication or division to find the missing value:
cups of flour
pancakes

Answers

4 pancakes 24/6=4 so 4 is the answe

A grain silo has a cylindrical shape. Its diameter is 17 , and its height is 38. What is the volume of the silo?

Answers

The volume of the silo of cylinder shape containing grain is 8625.24 cubic units.

The volume of the cylindrical shaped grain silo will be calculated by the formula -

Volume = πr²h, where r represents radius and h represents height of the cylinder.

Now, as we know radius is half of the diameter. So, radius = 17/2

Performing division on Right Hand Side of the equation

Radius of the cylinder = 8.5

Keep the values in formula to find the value of volume of silo

Volume = π × 8.5² × 38

Taking square and performing multiplication on Right Hand Side of the equation

Volume = 8625.24 cubic units

Hence, the volume is 8625.24 cubic units.

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Zach delivers pizza and is paid by the hour. Yesterday he worked 4 hours and made $40.

Answers

Answer:

$10 / hour

Step-by-step explanation:

$40 ÷ 4 hours = 10/hour

Answer:  Part A: Zach is paid $10 per hour

Part B: The equation would be p = 10h

Step-by-step explanation: Part A :Zach worked 4 hours and was paid $40. The question asks How much is Zach's paid per hour? Per hour means to find the unit rate and in order to find the unit rate in this case, you have to divide the $40 by the 4 to get how much Zach got per hour.

1.$40/4=10

Therefore, Zach is paid $10 per hour.

Part B: In the question it says Which equation shows the relationship between , h, the number of hours worked. The number of hours Zach worked was 4 hours. So, h = 4. Then for the next part of the problem, and p the amount paid.  We know that Zach got paid $40. So p = 40. Now that we know our numbers, we could put the equation together.

1. P = 10h is the same as $40 = 10 x 4.

There's the answer, Hope it helps! Have a nice day!

What does the following rule describe?
(x, y) → (x-2, y+5)

Answers

The transformation represents a horizontal of 2 units to the right and a vertical of 5 units up

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the initial coordinates of the point be represented as P

Now , the coordinates of P = P ( x , y )

And , the transformed point be represented as Q

Now , the coordinates of Q = Q ( x - 2 , y + 5 )

when x → ( x - 2 )

The graph is moved 2 units to the right

And , when y → ( y + 5 )

The graph is moved 5 units up

Substituting the values in the equation , we get

The transformation is 2 units to the right and 5 units up

Hence , the transformation is 2 units to the right and 5 units up

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Write the equation & solve: Sixteen increased by twice a number is 3 times the number decreased by 4​

Answers

The equation is 16 + 2x = 3(x - 4) and the solution is x = 28

How to solve the equation

From the question, we have the following parameters that can be used in our computation:

Sixteen increased by twice a number is 3 times the number decreased by 4​

Let the variable be x

So, we have

16 + 2x = 3(x - 4)

Open the brackets

16 + 2x = 3x - 12

Evaluat the like terms

x = 28

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A candle burns 2 inches per hour. After burning for 2 hours, the candle was 5 inches
long. If one the candle has been burning for 240 minutes, how long is the candle?
Write an equation that models the situation.

Answers

The length of the candle that has been burning for the total of 240 minutes would be = 9 inches.

How to calculate the length of the candle?

The rate at which a candle burns = 2 in/ 2 hours

That is,

2 in = 2 hour; 2 inches = 120 minutes

X in = 240 minutes

Make X the subject of formula;

X = 2×240/120

X= 480/120

X = 4+5

X = 9 inches

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which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same numb

Answers

The equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number" is 3 – (n – 1) = 1/2(3n – 4)

Let the number be n.

Gven: "three minus the difference of a number and one equals one-half of the difference of three times the same number and four"

So,

The expression "three minus the difference of a number and one" represent the equation is;  

3 – (n – 1)

Also,

The expression "one-half of the difference of three times the same number and four" represent the equation  is;

1/2(3n – 4)

Hence,

Complete expression represents the equation is

3 – (n – 1) = 1/2(3n – 4)

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(1 – n) – 3 = (4 – 3n)

3 – (1 – n) = (4 – 3n)

(n – 1) – 3 = (3n – 4)

3 – (n – 1) = (3n – 4)

I would really appreciate your help. Thank you.

Answers

Answer:

75

Step-by-step explanation:

trust me bro

A prize is divided in the ratio 7:5. One share is £122 more than the other what is the total amount?​

Answers

         a = amount given to the 1st share, ratio of 5.

a + 122 = amount given to the 2nd share, ratio of 7.

        T = total amount

so the total amount is really "T", and we'll be splitting that into a 7 : 5 ratio, that is, we'll be dividing "T" by (7 + 5) and distribute accordingly.

[tex]\stackrel{\textit{total split by 7 + 5}}{\cfrac{T}{7+5}\implies \cfrac{T}{12}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{we know the 1st share is}}{a= 5\cdot \cfrac{T}{12}}\implies a=\cfrac{5T}{12} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know the 2nd share is}}{a+122= 7\cdot \cfrac{T}{12}}\implies a+122=\cfrac{7T}{12}\implies \stackrel{\textit{substituting from above}}{\left( \cfrac{5T}{12} \right)+122=\cfrac{7T}{12}} \\\\\\ 122=\cfrac{7T}{12}-\cfrac{5T}{12}\implies 122=\cfrac{2T}{12}\implies 122=\cfrac{T}{6}\implies \boxed{732=T}[/tex]

A coin is flipped 14 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.

Answers

what’s the question?

A father age is 25 years older than Son the sum of Their age is 53. find their Ages using simul- taneous equation and using elimination method​

Answers

Answer: To find the father's and son's ages, we can set up two simultaneous equations:

Let's say the son's age is "x"

Then, the father's age would be x + 25

And the sum of their ages is x + (x + 25) = 53

So, 2x + 25 = 53

Solving for x, we get:

2x = 28

x = 14

Therefore, the son is 14 years old, and the father is 14 + 25 = 39 years old.

To use the elimination method, we can add the two equations:

x + (x + 25) = 53

2x + 25 = 53

Simplifying, we get:

2x = 28

x = 14

And the father's age would be x + 25 = 14 + 25 = 39 years old.

Step-by-step explanation:

Find b and then solve the equation

2x^2+bx-10=0 if one of its roots is 5

Answers

well, since we know that one root is 5, that is a factor of it is (x-5), so hmmm by the remainder theorem we also know that if we plug "5" as our argument in our f(x), that is, if we do f(5), it must result to 0. so f(5) = 0, if that's so then

[tex]2x^2+bx-10=f(x)\implies 2(5)^2+b(5)-10=f(5) \\\\\\ 2(5)^2+b(5)-10=0\implies 50+5b-10=0\implies 5b=-40 \\\\\\ b=\cfrac{-40}{5}\implies \boxed{b=-8} \\\\[-0.35em] ~\dotfill\\\\ 2x^2-8x-10=0\implies 2(x^2-4x-5)=0\implies 2\stackrel{ {\Large \begin{array}{llll} x=-1 \end{array}} }{(x+1)}(x-5)=0[/tex]

34 on april 18, 1775, paul revere set off on his midnight ride from charlestown to lexington. if he had ridden straight to lexington without stopping, he would have traveled 11 miles in 26 minutes. in such a ride, what would the average speed of his horse have b

Answers

The average speed of Paul Revere's horse, assuming he rode straight to Lexington without stopping, would have been approximately 25.4 miles per hour.

To find the average speed of Paul Revere's horse, we can use the formula:

average speed = total distance / total time

In this case, the total distance is 11 miles, and the total time is 26 minutes, or 0.4333 hours (since there are 60 minutes in an hour).

So, the average speed of Paul Revere's horse would be:

average speed = 11 miles / 0.4333 hours

average speed ≈ 25.4 miles per hour

Therefore, the average speed of Paul Revere's horse, to the nearest tenth of a mile per hour, would have been 25.4 miles per hour.

Using the formula for average speed, we can calculate that Paul Revere's horse would have had to travel at an average speed of approximately 25.4 miles per hour to cover the 11-mile distance in 26 minutes. This assumes that he rode straight through without stopping.

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The complete question is:

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

(SAT Prep) Find the value of x

PLS ASAP

Answers

The value of x is given as follows:

x = 155º.

How to obtain the value of x?

For the triangle at the left, considering that the sum of the measures of the internal angles of a triangle is of 180º, the angle measures are given as follows:

90º.35º.180 - (90 + 35) = 55º.

For the triangle at the right, considering the ray formed at the top, the measures are given as follows:

90º.180 - (55 + 60) = 65º.180 - (90 + 65) = 25º.

An angle is supplementary with it's external angle, meaning that the sum of their measures is of 180º, hence the value of x is obtained as follows:

x = 180 - 25

x = 155º.

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if you want to wear 4 of your 10 bow ties next week (monday through sunday), how many ways can this be accomplished?

Answers

There are 10/4 ways ( [tex]\frac{10}{4}[/tex] ) to accomplish the given task by wearing the ties for a week according to the permutations and combinations.

Given if you wear tie for a week, where one need t wear 4 of his ties from the 10 of total. The number of ways to wear the ties will be equal to the value. So there are many ways to wear a tie of different types and also to remove the tie there are different ways. Now we will see the ways to wear a tie accordingly.

According to the permutations and combination rules the formula will be:

Number of ways: (Number of ties want to wear) / (Number of Total ties)

Therefore total number of ways to wear ties = 10/4

Number of ways this can be accomplished is 10/4

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Prove by induction that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders. You can only use the definition of Bk​. Per the definition, Bk​ is formed by joining two Bk−1​ trees.

Answers

We will prove that if we remove the root of a k-th order binomial tree, it results in k binomial trees of smaller orders.

Base case: If k = 1, the binomial tree consists of a single node. Removing the root node leaves an empty tree, which can be considered as a collection of 0 binomial trees of smaller orders.

Induction hypothesis: Assume that the statement is true for a k-th order binomial tree.

Induction step: We need to prove that the statement is true for a (k+1)-th order binomial tree, which is formed by joining two k-th order binomial trees.

Remove the root node of the (k+1)-th order binomial tree. This results in two trees, each of which is a k-th order binomial tree.

By the induction hypothesis, removing the root node of each of the two k-th order binomial trees results in k binomial trees of smaller orders.

Thus, removing the root node of the (k+1)-th order binomial tree results in a total of 2k binomial trees of smaller orders, which completes the proof.

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Write the linear equation given slope is -1/3 and the point (-9,-1)

Answers

The Linear Equation for the line with slope as -1/3 and the point (-9,-1) is y = (-1/3)x - 4   .

We use the point slope form of a linear equation to write the equation of a line with its slope and a point on the line.

The point-slope form is ⇒ y - y₁ = m(x - x₁)  ;

Where m is = slope of line, and (x₁, y₁) is a point on line.

The Slope (m) of line  is  = -1/3 and point on line (x₁, y₁) is = (-9, -1),

Now , we substitute  these values ;

we get ;

⇒ y - (-1) = (-1/3)(x - (-9)) ;

⇒ y + 1 = (-1/3)(x + 9)  ;

Simplifying further ,

we get ;

⇒ y + 1 = (-1/3)x - 9/3  ;

Subtracting 1 from both sides, we get:

⇒ y = (-1/3)x - 4

Therefore, the equation of the line is y = (-1/3)x - 4  .

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f(x) = -x² + 5 and g(x) = -2x+2, find all values of x for which f(x) = g(x).

Answers

Answer: Since the square root of a negative number is not a real number, there are no real solutions to this equation, and therefore no values of x for which f(x) = g(x).

Step-by-step explanation:

To find all values of x for which f(x) = g(x), we can set the two functions equal to each other and solve for x:

-x² + 5 = -2x + 2

Expanding the right-hand side:

-x² + 5 = -2x + 2

-x² + 2x + 3 = 0

Solving for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 2, and c = 3

x = (-2 ± √(2² - 4(1)(3))) / 2(1)

x = (-2 ± √(4 - 12)) / 2

x = (-2 ± √(-8)) / 2

Since the square root of a negative number is not a real number, there are no real solutions to this equation, and therefore no values of x for which f(x) = g(x).

Other Questions
the auto insurance industry estimates that it costs three times the original purchase price (in parts and labor) to reconstruct a wrecked automobile. why is there such a large discrepancy? g if you dissolve 20 g of dextrose in 500 ml of dh2o, what is the concentration of dextrose in mm? (fw dextrose which statements correctly describe the renaissance? select all correct answers. responses famine and plague spread death across europe. famine and plague spread death across europe. artists painted real figures and placed them in natural-looking settings. artists painted real figures and placed them in natural-looking settings. popes and wealthy families became patrons of architecture, art, and literature. popes and wealthy families became patrons of architecture, art, and literature. a period of artistic and literary creativity began in the city-state of florence and slowly spread throughout europe. a period of artistic and literary creativity began in the city-state of florence and slowly spread throughout europe. many city-states in northern italy formed republics led by powerful merchant families. many city-states in northern italy formed republics led by powerful merchant families. great cathedrals were built throughout europe. If two objects have different temperatures, in which direction will heat move? When will the heat stop moving? what is the horizontal distance (relative to the position of the helicopter when she drops) at which the stuntwoman should have placed the foam mats that break her fall? an analytical chemist is titrating of a solution of ethylamine with a solution of . the of ethylamine is . calculate the ph of the base solution after the chemist has added of the solution to it. note for advanced students: you may assume the final volume equals the initial volume of the solution plus the volume of solution added. round your answer to decimal places. The top of a tree broken by the wind made an angle of 45 with the ground. If the distance of the point where the top touched the ground from the foot of the tree is 30 ft, find the height of the tree before it was broken. Ans: 72.43 ft What is the impact of the amendment-enforcing provisions?-Congress has the ability to enact laws that are appropriate for enforcing amendments-Powers not explicitly granted to Congress but rather can be inferred to exist by the letter and spirit of the text of the Constitution-Amendment enforcing provisions are a source of these powers-Necessary and Proper Clause is a common source of these powers select all that applycommitted fixed costs include _______.(1) real estate taxes(2) Top management Salaries(3) Public relations(4) Research How would a manufacturer benefit by using fewer scarce resources?The product would be less expensive to produce.The product would better satisfy consumer needs.The product would be popular and readily available.The product would provide a more satisfactory profit. which one of the following is an intensive property? question 4 options: number of moles nk of substance k in the system. the product pv in a system. molar enthalpy hm of a system (defined as the ratio of the enthalpy of the system over the total number of moles in the system). volume v of the system. internal energy u of the system OA the opening story about a family eating out togetherWhich detail does NOT support the idea that face-to-face communication skills with young people has beenreplaced with electronic communication?B.the mention of a report by the Pew Internet and American Life ProjectQ Review/Fthe claim that most employers won't hire someone who can't make eye contact Question : find the exact answer for the following. Then round off the first number to 100 places and the second to 10 places and estimate the answer, mention if the answer is reasonable or not.A) 145.86 + 79.6B) 2450.21 - 599.36C) 922.58 - 398.99D) 2351.85 + 89 Lance is drawing a triangle. He draws oneside that is 8 inches long and another sideSe that is 5 inches long. Which one of the yeufollowing could be the third side? which of the ordered pairs (18,8) , ( 8,18) , (9,4) or (4,9) is a solution to the system of equations Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.(a) How many ways can this be done, if the order of the choices matters?(b) How many ways can this be done, if the order of the choices does not matter? Complete the following proof. Hannah has to make 168 gallons of punch for a big party. The punch is made of soda and fruit drink. The cost of the soda is $1.57 per gallon and the cost of the fruit drink is $2.41 per gallon. Hannah's budget requires that the punch cost $1.66 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?Gallons of soda = Gallons of fruit punch = 2. Joy Co. purchases 6 months of insurance in advance for $1,500.Account Title and DescriptionInsurance expense (A)Debitpaid 5.000 a month.Credit1-1500 Describe an adult family member's career, and then explain if you would ever consider doing that job for a living or not, and why