Fill in the blank. In the triangle below, x=?. Round your answer to two decimal places.

Answer:

(4, -3)

Step-by-step explanation:

A vertex is just a point at which 2 lines going in different directions meet, hence (4, -3)

The solution of the given quadratic equation is x=-2 or x=-3.

The given quadratic equation is x²+5x+6=0.

The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.

By using the splitting middle term method we can solve x²+5x+6=0.

That is, x²+2x+3x+6=0

⇒x(x+2)+3(x+2)=0

⇒(x+2)(x+3)=0

⇒(x+2)=0, (x+3)=0

⇒x=-2 or x=-3.

Therefore, the solution of the given quadratic equation is x=-2 or x=-3.

To learn more about the quadratic equation visit:

https://brainly.com/question/2263981.

#SPJ1

Answer:

30%

Step-by-step explanation:

First we find out the difference between them:

$654,030 - $457,821 = $196,209

Then we compare it with the original price:

196,209/654,030 = 0.3

Since 0.3 is 30%, that is 30% decrease in value.

The length of the box made by Mr. Baker is 10-inch

Mr. Baker has strip of 48- inch long  oak, by this strip he is making the rectangle box of width 14-inch.

The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.

As Mr. Baker has a strip that is 48-inch long and he made a rectangle box with it.

The width of the  box = 14 inches
now the length of the box = (total length of the strip - 2* width of the box)/2
⇒ length of the box = (48 - 2*14)/2
⇒ length of the box = 10 inches

Thus the Mr. Baker made the box which is 10 inches long.

learn more about rectangles here:
https://brainly.com/question/15019502

#SPJ1

Answer:

operant conditioning and schedules of reinforcement

The area of wafer required to make the ice cream cone 68.75 cm²

The area is the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc.

Given:

r= 2cm, l=9 cm

Surface area,

=πr(l +r)

=3.14*2(9 + 2)

= 6.25*11

=68.75 cm²

Learn more about area of cone here:

https://brainly.com/question/12118094

#SPJ1

[tex]1) \text{ } 2^{1/2}=\sqrt{2}\\\\2) \text{ } 2^{2/3}=\sqrt[3]{2^{2}}\\\\3) \text{ } 3^{3/2}=\sqrt{3^{3}}\\\\4) \text{ } 3^{1/3}=\sqrt[3]{3}[/tex]

Answer: correct radical forms are:

[tex]2^\frac{1}{2} = \sqrt{2}[/tex]

[tex]2^\frac{2}{3} = \sqrt[3]{2}[/tex]

[tex]3^\frac{3}{2} = \sqrt[]{3^3}[/tex]

[tex]3^\frac{1}{3} = \sqrt[3]{3}[/tex]

Step-by-step explanation:

Radical form : If n is a positive integer that is greater than 1 and a is a real number then, [tex]\sqrt[n]{a} =a^\frac{1}{n}[/tex] where n is called the index, a is called the radicand, and the symbol √ is called the radical.

therefore,  

radical form of given values are :

[tex]2^\frac{1}{2} = \sqrt{2}[/tex]

[tex]2^\frac{2}{3} = \sqrt[3]{2}[/tex]

[tex]3^\frac{3}{2} = \sqrt[]{3^3}[/tex]

[tex]3^\frac{1}{3} = \sqrt[3]{3}[/tex]

learn more about radical forms at

https://brainly.com/question/18864104

#SPJ10

Let the numbers be x and x/7

Now

The numbers are

Answer:

7x+X=824

8X/8=834/8

x=108

Step-by-step explanation:

hope I helped

Answer:

6n+1

Step-by-step explanation:

Eliminate the parenthesis by changing the symbol of each term inside

3+[5n-2+n]

Eliminate the bracket and group similar terms

5n+n+3-2

Simplify terms

6n+1

Answer:

A.4

Step-by-step explanation:

Using the sine rule

sin(α)/A equals sin(β)/B

From the question & inserting values,

sin(90°)/8 equals sin(30°)/x

∴x equals[tex]\frac{sin(30)}{sin(90)}[/tex]×8

∴x equals 4

You can learn more on the sine rule in case you get confused.

Answer:

A

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

7

Step-by-step explanation:

The length of AB is the distance between A and B which is B-A -> 13-6= 7

Answer: A. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

The best way to remember this is SOH-CAH-TOA. For sin, it would be the opposite angle over the hypotenuse. The opposite angle of ∠C is 24 and the hypotenuse is 26. But that isn't in the answer choices, so you'll simplify the fraction.

[tex]\frac{24}{26} =\frac{12}{13}[/tex], therefore, the answer is A.

I hope this helps! Pls mark brainliest!! :)

Answer:

[tex]\sf{$a)$} \ x=\dfrac{-9\pm\sqrt{105}}{6}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

Given: 3x² + 9x - 2 = 0

⇒ a = 3, b = 9, c = -2

Substitute the given values into the formula and simplify:

[tex]x=\dfrac{-9\pm\sqrt{9^2-4(3)(-2)}}{2(3)}\\\\x=\dfrac{-9\pm\sqrt{81+24}}{6}\\\\x=\dfrac{-9\pm\sqrt{105}}{6}[/tex]

Therefore, the correct answer is A.

Learn more about quadratic equations here:
brainly.com/question/27638369

brainly.com/question/27740685

Using translation concepts, the correct statement is given by:

If function f was translated down 4 units, the f(x) values would be subtracted by 4. A point in the table for the transformed function would be (1,9).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A translation down 4 units means that the output values are subtracted by 4, hence the table would be given by:

x    1  2  3   4    5

f(x) 9 15 33 87 249

More can be learned about translation concepts at https://brainly.com/question/27948675

#SPJ1

Answer:

The CORRECT answer is:

1. f(x)

2. decreased by 4

3. (4, 87)

Step-by-step explanation:

Took the test

Answer:

Slope: 10

Y-intercept: +9

Step-by-step explanation:

An equation written in slope-intercept form is y=mx+b. "m" is your slope and b is your y-intercept.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

we find the volume as if it were a parallelepiped and we remove the volume of the missing part.

8 * 6 * 10 = 480 cm³

480 - 2 * 3 * 10 = 420cm³

Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

The probabilities are:

a) P = 0.024

b) P = 0.5

a) The probability that the first person grabs a cola is given by the quotient between the number of colas and the total number of drinks.

There are 5 colas, and 16 drinks in total, so the probability is:

P = 5/16

The second person needs to grab a ginger ale, now there are 15 drinks on the cooler (because one cola was taken) so this time the probability is:

Q = 4/15

Finally, the third person grabs (this is incomplete, I will assume that is another cola), this probability is:

Z = 4/14

The joint probability is:

prob = P*Q*Z = (5/16)*(4/15)*(4/14) = 0.024

b) If the two first persons grabed colas, then in the cooler we have:

3 colas, 7 root beers, and 4 ginger ales, for a total of 14 drinks.

Then the probability of grabbing a root beer is:

p = 7/14 = 1/2 = 0.5

If you want to learn more about probabilities:

https://brainly.com/question/25870256

#SPJ1

Answer:

[tex]2a^{4} + 5a^{3} - 13a^{2} + 19a - 28[/tex]

Step-by-step explanation:

Answer:

you can buy 98 beds and buy dresses by rest of the money

Answer:

Step-by-step explanation:

Comment

I'm going to assume that this is not a closed figure. The top is open like a water trough for horses.

There are 2 semicircular ends which add up to 1 whole circle.

There is 1 base area. The base area has a width of one of the semicircles. It has a length of 15 cm.

Solution

2 semi circles

r = d / 2

r = 20/2

r = 10

Area = pi r^2    This area is for 2 semicircles which = 1 circle.

Area = 3.14 * 10^2

Area = 3.14 * 100

Area =                                                  314

Trough

r = d / 2  

d= 20

r = 20/2

r= 10

w = 2*pi*r / 2

w = 2*3.14 *10/2

w = 31.4 cm

L = 15 cm

Area = 15 * 31.4

Area =                                                   471

Total Area =                                         785                              

We know immediately that the line must pass through (-4, 3).

Option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.

The measurements of the sides and angles of two or more geometrical figures determine their congruence. For example triangle's size is determined by its three sides, and its shape is determined by its three angles.

We have:

The diagram represents an unfolded paper kabuto, a samurai warrior's helmet.

Unfolded paper can be seen in the provided figure. The sheet is square.

The diagonals, in this case, are FN and AK, and the midline is CM and OI. At point R, all of these lines converge.

FR ≅ NR

AO ≅ ON

RC ≅ RO

NO ≅ NM

DV ≅ HV

Thus, option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.

Learn more about the congruence here:

brainly.com/question/20521780

#SPJ1

Answer:

25/36

Step-by-step explanation:

put 2500 over 3600 and you get 2500/3600 but you can simplify to get 25/36 but removing the 0's

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9 ( divide through by 9 )

x + y = 1 ( subtract x from both sides )

y = 1 - x

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9

First, take 9x to the right side.

9y = 9 - 9x

9y = 9 ( 1 - x )

Divide both sides by 9.

y = 1 - x

Answer:

-3 - false

0 - true

1 - true

2 - false

4 - true

Step-by-step explanation:

the "zeros" of a function are its x-intercepts

(because that is when the function = zero [0])

So, we can look at the x-intercepts of the graph to find the zeros:

at 0, 1, and 4 the function = 0, meaning that those are zeros of the function

hope this helps!! have a lovely day :)

The time taken for Terick to run one complete mile is determined as 12 minutes

The speed of chad is calculated as follows;

s = distance/time

s = (3.25 miles)/(40)

s = 0.08125 miles/min

2/3 of a mile = 8 mins

1/3 of a mile = ?

1/3 of a mile  =  4mins

1 mile = 8 mins + 4 mins = 12 mins

Thus, the time taken for Terick to run one complete mile is determined as 12 minutes.

Learn more about distance here: https://brainly.com/question/4931057

#SPJ1