URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answer:

?

Step-by-step explanation:

The  Δ FGH with base FG that is 2a unit long has been drawn below.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Δ FGH is a isosceles triangle.

Now isosceles triangle is a triangle whose two sides are equal.

In the ΔFGH, HF = HG

Hence "The  Δ FGH with base FG that is 2a unit long has been drawn below".

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Answer: c=-0.01

Step-by-step explanation:

The arithmetic series 1+5+9+. . . . . +41+45 can be expressed in summation notation as [tex]\sum\limits^{12}_{n=1} {(4n-3)}[/tex]

The given arithmetic series:

    1+5+9+. . . . . +41+45

To write the series in summation notation:

Find the common difference (d) of the series.

d = 5 - 1 = 4

Recall the formula for the nth term in an arithmetic sequence:

a(n) = a(1) + (n-1) . d

Substitute a(1) = 1 and d = 4:

a(n) = 1 + (n-1) . 4

a(n) = 4n - 3

Find n that leads to a(n) = 45

a(n) = 4n - 3

45 = 4n - 3

4n = 48

n = 12

Thus, the lower limit of the summation is n =1, and the upper limit is n = 12

Now write in summation notation as:

[tex]\sum\limits^{12}_{n=1} {a(n)}= \sum\limits^{12}_{n=1} {(4n-3)}[/tex]

This summation notation can be further simplified using the properties of summation operator:

[tex]\sum\limits^{12}_{n=1} {(4n-3)}=\sum\limits^{12}_{n=1} {4n}-\sum\limits^{12}_{n=1} {3}[/tex]

[tex]=\sum\limits^{12}_{n=1} {4n}-12\times3[/tex]

[tex]=\sum\limits^{12}_{n=1} {4n}-36[/tex]

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Answer:

875

Step-by-step explanation:

215+200+185+170+155+140+125+110+95+80+65+50+35+20+5+(-10)+(-25)+(-40)+(-55)+(-70)+(-85)+(-100)+(-115)+(-130)+(-145) =875

I'm sure there's an easier way to do this, but if you want a correct answer, here you go. Have a good day!

Answer:

875

Step-by-step explanation:

I think hope it right

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Work Shown:

C(x+2) - (x+2)(x-2) = 0

(x+2)(C-(x-2)) = 0

(x+2)(C-x+2) = 0

x+2 = 0 or C-x+2 = 0

x = -2 or x = C+2

If we want one solution only, then we must make C+2 = -2 which solves to C = -4

If C = -4, then x = C+2 = -4+2 = -2 which matches with the first solution mentioned. If C is anything else but -4, then we'd have two different solutions (eg: C = 10 leads to x = C+2 = 12 as the other solution)

The solutions of the given polynomial equation p⁴+32=12 p² is p = {-2√2, 2√2, -2, 2}.

The given polynomial equation is:

p⁴+32=12 p²

Subtract both sides by 12 p²

p⁴ + 32 -12 p² = 12 p² 12 p²

p⁴ -12 p² + 32 = 0     ...... (1)

Let x = p², then equation (1) becomes

x² -12x + 32 = 0  

This is a quadratic equation.

Factorize:

   x² -12x + 32 = 0  

⇔ (x - 8 ) (x - 4) = 0

Take:

x - 8 = 0

x = 8

p² = 8

p = ±√8 = ±2√2

Take:

x - 4 = 0

x = 4

p² = 4

p = ±√4 = ±2

Hence the solution is p = {-2√2, 2√2, -2, 2}

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Answer:

the answer is great Britain because

Step-by-step explanation:

it is very good for this subject

Answer:

3;m=-6

Step-by-step explanation:

3;m=-6

Using the absolute value function, linear functions and translations, we have that:

9. Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

10. The equation is f(x) = -5x + 100.

11. The correct option is: The slope of f(x) is greater than the slope of g(x).

12. h(-5) = 10.

13. The equation is f(x) = 2x + 5.

14. The graph of y = f(x) will shift right 9 units.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex(turning point) at (0,0). The range is from the y-coordinate of the vertex to positive infinity.

In item 9, from the table, the turning point is at (2,0), hence:

Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

A linear function is modeled by the following rule:

y = mx + b

In which:

For item 10, we have that:

Then:

The equation is f(x) = -5x + 100.

For item 11, the slope is given by change in y divided by change in x, hence:

Hence:

The correct option is: The slope of f(x) is greater than the slope of g(x).

For item 12, we have that:

h(x) = -4x - 10.

Hence, when x = -5:

h(-5) = -4(-5) - 10 = 20 - 10 = 10.

Hence:

h(-5) = 10.

For item 13, we have that when x changes by 4, y changes by 8, hence the slope is:

m = 8/4 = 2.

When x = 1, y = 7, hence, considering the slope, when x = 0, y = 5, and:

The equation is f(x) = 2x + 5.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the rule is given by:

y = f(x - 9).

The translation is x -> x - 9, hence:

The graph of y = f(x) will shift right 9 units.

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Answer:

(For number 9) Range {y/0<y<infinity} Vertex (2,0)

Step-by-step explanation:

I took test

I hope I helped for that part of it.

The base and height of triangle are 25 and 22 feet.

We are given the relation between base and height of triangle. Let us represent height with h and base with b. The equation relating the two quantities is as follows -

h = b - 3

Now, the area of triangle is given  by the formula -

Area = 1/2 × base × height

Keep the values in formula to find the base of triangle

275 = 1/2 × b × (b-3)

550 = b × (b-3)

b² - 3b - 550 = 0

b² + 22b - 25b - 550 = 0

b (b + 22) -25 (b + 22) = 0

(b + 22) (b - 25) = 0

b = -22 and 25

As the value of base can not be negative, so, the base of triangle is 25 feet.

Calculating height of triangle-

Height = Base - 3

Height = 25 - 3

Height = 22 feet

Hence, the base and height of triangle are 25 and 22 feet.

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The range of each amazon box is 1.6035m

According to the question we have been given that

        height of the conveyer belt = 1.4m

        Speed of the belt = 3m/s

We need to find the range of the amazon box, that is we have to find the distance.

Formula for distance is ,  d = speed * time

We have been given the value of speed we need to find the value of time. For that we will use the formula,

                                     h = [tex]\frac{1}{2} g t^{2}[/tex]

where,         h = height

                   g = acceleration due to gravity = 9.8m/s²

                    t = time

Putting the required value for t we get,

        t = [tex]\sqrt{\frac{2h}{g} } \\[/tex]

          = [tex]\sqrt{\frac{2(1.4)}{9.8} } \\[/tex]

          = √0.286

          = 0.5435 s

Putting the value of time in distance formula we get,

                d = 3 * 0.5435 m

                   = 1.6035 m

Hence the range of each amazon box is 1.6035m

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The following set of numbers, 8, 15, and 17, can be the measures of the sides of a triangle, specifically a right triangle.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 8, b = 15, and c = 17

a + b > c     8 + 15 > 17     23 > 17     True

a + c > b     8 + 17 > 15      25 > 15     True

b + c > a     15 + 17 > 8     32 > 8     True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

8^2 + 15^2 = 289

2. Compare it to the square of the largest side.

17^2 = 289

289 = 289

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle

if they are smaller, then it is an obtuse triangle.

Hence, 8, 15, and 17 can be the measure of the sides of a right triangle.

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Answer:

3[tex]x^{2}[/tex] + 4x + xy

Step-by-step explanation:

Basically just combining like terms

[tex] \large \bf \implies{ {3x}^{2} + xy + 4x} \\ [/tex]

Step 1) Combine the like terms

Step 2) Add/Subtract the terms

Step 3) We have got the answer

The cost of the meal is 53.

The tip percentage is x.

Percentage is a measure of frequency that is used to describe a number as a fraction out of 100. The sign that is used to represent percentages is %.

The total cost of the meal is the sum of the amount paid for the meal and the amount paid for the tip. The amount that is paid for the tip is a function of the total amount of the meal.

Total cost = cost of the meal + tip paid

Total cost = cost of the meal x (1 + tip)

53( 1 + x)

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Answer:

The large box weighs 18.75 and the small box weights 15.75

Step-by-step explanation:

We are looking to find 2 variables so we will need two equations.

Let l = the large box weight

Let s = the small box weight

7l + 9s + 273                   5l +3s = 141

I want to add these two equations together and have one of the variables be eliminated.  The way both equations are written now, neither variable will drop out.  I see that 9 is a multiple of 3.  If I multiply the second equation all the way through by - 3, the s variable will be eliminated.

-3(5l +3s) -3(141)  Multiple everything by -3

-15l -9s = -423  Now I will add this to the original equation 7l + 9s = 273

7l + 9s = 273

-8l = -150  Divide both sides by -8

l = 18.75  This is the weight of the large box.

Plug in 18.75 to either of the ordinal equations to find the weight of the small box.

5l + 3s = 141

5(18.75) + 3s = 141  Distribute the 5

93.75 + 3s = 141  Subtract 93.75 from both sides

3s = 47.25  Divide both sides by 3

s = 15.75

Check:

Plug in 15.75 for s and 18.75 for l into both of the original equation to see if they equal.

7l + 9s = 273

7(18.75) + 9(15.75) =273

131.25 + 141.75 = 273  Checks

5l + 3s = 141

5(18.75) + 3(15.75) = 141

93.75 + 47.25 = 141

141 = 141 Checks

Answer:

1 is 6 pages, 7 minutes is 24 pages, 14 minutes is 45 pages

Step-by-step explanation:

the unite rate is 3

The distance between pair of parallel lines with the given equations

x=-2 x=5 is 7 units

Parallel lines are any two or more lines that lie in the same plane but never cross one another. Both have the same slope and are equally distant from one another. No matter how far we extend a parallel line, it will always remain straight.

The fundamental characteristics listed below make it simple to recognize parallel lines.

The distance between parallel lines on a graph can be given as x1 - x2 as both are equidistance from y for which y has been cancelled.

here x1 =5 and x2 = -2

So, x1 - x2 = 5 -(-2)

                 = 5 + 2

                 = 7

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Answer:

7 and 27

Step-by-step explanation:

We can make an equation for this, it looks like this:

6+3x+x=34

Simple algebra can be used to solve this (x is the smaller number)

1. 6+3x+x=34

2. 6+4x=34 Combine like terms

3. 4x=28 Simplify

4. x=7 simplify

Now that we have the smaller number we can use a portion of the original equation to solve with x=7.

1. 6+3x

2. 6+3(7)

3. 6+21

4. 27

So the smaller number is 7, and the larger number is 27.

Answer: x<1

Step-by-step explanation:

add 12 to both sides, divide by 2 on both sides.

The correct option is F. 25.

The total number of gallons of gas Amanda will use to travel all the distances is 25.

The amount of between two things, or the state of being far apart, is defined as distance. A five-foot distance between two tables is an example of distance. The difference of the two sides of an issue is an example of distance.

Now, as per the given question;

Amanda plans to drive 160 miles, 235 miles, 185 miles, and 220 miles.

Thus, the total distance ravelled by Amanada is;

= 160 miles + 235 miles + 185 miles + 220 miles

= 800 miles

Amanada's car has the average of 32 miles per gallon of gas.

Thus, the car will cover a total of 32 miles for each gallon of gas.

Thus,

The number of gallon of gas requires = Total distance/(distance travelled for one gallon of gas)

The number of gallon of gas requires = 800/32

The number of gallon of gas requires = 25

Therefore, the gas required to travel a total distance of 800 miles is 25 gallons.

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According to the given data the m ∠1+m ∠2=m∠6+m∠ 7 proofed by symmetric property:

The symmetric property of equality is significant in mathematics because that tells us that both sides of either an equal sign are equal regardless of which side of the section they are on.

But it wasn't until the nineteenth century that mathematicians like Evariste Galois, an unhappy French genius, uncovered symmetries hidden in mathematical equation solutions.

Given: ∠3 ≅ ∠5

Prove: m ∠1+m ∠2=m∠6+m∠ 7

Now ,

m ∠1+m ∠2=m∠6+m∠ 7..........(1)

m∠6+m∠ 7 = ∠3 + m∠4..............(2)

m ∠1+m ∠2 = ∠3 + m∠4

(subtracting)

m∠4 +m∠3  = m ∠3 + m∠4

symmetric property:

m ∠1+m ∠2=m∠6+m∠ 7

According to the given data the m ∠1+m ∠2=m∠6+m∠ 7 proofed by symmetric property:

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Answer:

-7

Assuming that "It can be any"

Step-by-step explanation:

Lets understand the situation,

This means Each team can have 3, 4 or 5 people.And 21 people take part.

we have to find How many different possible arrangements of teams are there.

Situation 1.

situation 2.

Situation 3.

situation 4.

The common difference d is 6 and the first term a1 is 20.

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same value.

The formula of Arithmetic progression is

a(n) = a1 + (n - 1)d

given that the two terms of arithmetic sequence,

a3 = 32 and a7 = -8.

now, find the common difference d.

a(n) = a1 + (n - 1)d

Let take a(n) = a7 and a1 = a3.

a7 = a3 + (7 - 3)d

a7 = a3 + 4d

now substitute the values of a6 and a4

-8 = 32 + 4d

-8 + 32 = 4d

d = 24/4

d = 6

so, the common difference d is 6.

then, find the term a1.

take the formula

a(n) = a1 + (n - 1)d

now, substitute a(n) = a3 and d = 6.

32 = a1 + (3-1)d

32 = a1 + 2d

32 = a1 + 2(6)

32 = a1 + 12

a1 = -12+32

a1 = 20.

so, the first term a1 is 20.

Hence, the common difference d is 6 and the first term a1 is 20.

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The simplified form of the expression is -29y - 8

Linear equations are equations that has a linear degree of 1. For instance the expression y =mx + b has a linear degree of 1.

Given the linear equation below:
-7 (3y)+2(-4y+-4)

When solving linear equation, first we will need to expand the expression first.

-7 (3y)+2(-4y+-4)

-21y + 2(-4y) + 2(-4)

Simplify the resulting expression

-21y -8y. - 8

-29y - 8

Hence the simplified form of the expression is -29y - 8

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The best friend is the faster runner as his speed is 51.28 m/s while my speed is 48.78 m/s.

Speed is defined as the distance travelled by someone or something in unit time. The SI unit of speed is meters per second. The speed is calculated by dividing the distance travelled by the total time taken to travel said distance.  

Given the distance travelled by both of the friends is 400 meters.

Now The first friend travels this distance in 8.2 seconds:

Therefore speed is calculated by distance ÷ time

or, speed = 400 ÷ 8.2

or , speed = 48.7804... m/s

or, speed ≈ 48.78 meters per second

And the best friend travels this distance in 7.8 seconds:

Therefore speed is calculated by distance ÷ time

or, speed = 400 ÷ 7.8

or , speed =51.2820... m/s

or, speed ≈ 51.28 meters per second

Therefore by comparing both the speeds we can conclude that the best friend is the faster runner.

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Answer:

Step-by-step explanation:

triangles are similar so:

[tex]\frac{10}{10+14} = \frac{x}{36}[/tex]

24x=360

x=15