What is the slope of the line in the graph below?

Solve each equation using inverse operations: 1. 9w = -54 2. b - 12 = 3 3. n/4 = -11

katovenus [111]

Hello!

Answer:

1. $\boxed{W=-6}$

*The answer must have A NEGATIVE SIGN ONLY!*

2. $\boxed{B=15}$

*The answer must have A POSITIVE SIGN ONLY!*

3. $\boxed{N=-44}$

*The answer must have a NEGATIVE SIGN ONLY!*

Step-by-step explanation:

1. 9w=-54

First, you divide by 9 both sides of an equation.

9w/9=-54/9

Simplify.

-54/9=-6

W=-6 is the final answer.

____________________________________

2. b-12=3

First you add by 12 both sides of an equation.

b-12+12=3+12

Add by the numbers from left/right.

3+12=15

b=15 is the final answer.

__________________________________________

3. n/4=-11

First you multiply by 4 both sides of an equation.

4n/4=4(-11)

Multiply by the numbers from left/right.

4*-11=-44

n=-44 is the final answer.

_____________________________

Hope this helps you!

Have a great day! :)

:D

-Charlie

Thanks!

3 0

3 years ago

The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at

ArbitrLikvidat [17]

12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls

4 0

4 years ago

Find the area of the composite figure

Pavlova-9 [17]

Answer:

45

Step-by-step explanation:

4 0

3 years ago

Please help me ASAP with part A and B

Troyanec [42]

Answer:

Step-by-step explanation:

Area of rectangle is

A = 5(4x) = 20x

Part A

(D) 100 ≤ 20x ≤ 1,000

Part B

$\frac{100}{20}$ ≤ $\frac{20x}{20}$ ≤ $\frac{1000}{20}$

5 ≤ x ≤ 50

3 0

3 years ago

Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated?

Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3. The length of the vertical segment of the triangle graphed is 2. Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3. This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1). This makes the horizontal segment 5 units long and the vertical segment 4 units long. This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 3. This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 4. This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0

3 years ago