Segment CD is given with vertices C(a,b) and D(2a,b). Find the length of segment C'D', the image of segment CD after a dilation with a scale factor of 2.

Answers

Answer 1

Answer: the dilation is a scale factor of 2, that is:

C'D' = 2(CD)

the length of CD is given by:
CD = √( (a - 2a)^2 + (b - b)^2 )

CD = √(a^2) = a

hence the new segment is 2a long.

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How many 1-inch cubes do you need to fill a cube that has an edge length of 1 foot?

Answers

it will be 12 because there are 12 inches in one foot
hope it helped you

Which two numbers add up to 27 and multiply to -160?

Answers

+ 32
and
- 5

will do that job for you.

Simplity. (2+7) / (7/2 x 2)

Answers

Answer: 9/7 or 1.28571 or 1 2/7

Three ways to simplify :)

Step-by-step explanation:

Use PEMDAS to help simplify

(2+7) becomes 9

(7/2 x 2) becomes 7

Simplified, it's 9/7, which is equivalent to 1.28571

Which of the following is a example of perpendicular lines

Answers

The correct option is D.

Important information:

Each graph has two lines.

Perpendicular lines:

Two lines are called perpendicular lines if the angle between those lines at the intersection point is 90 degrees.

In option A, the lines are parallel because they have the same direction and slope.

In option B, if we increase the lines, then they can not make a 90-degree angle.

In option C, the lines are not making a 90-degree angle.

In option D, the lines are perpendicular because they are making a 90-degree angle.

Therefore, the correct option is D.

Find out more about 'Perpendicular lines' here:

brainly.com/question/2096532

Its option D. the first is parallel and the rest two will intersect at a point but not at 90 degree. Since, in the fourth one, the lines meet at 90 degree, it is a perpendicular line

What process do you use to find the percent change of a quantity?

Answers

First, we need to get the amount of change:
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = $($

If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

Combining the two steps:
% of change = $($ * 100

Examples:
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = $(12-10)/(10) * 100$ = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = $(20-25)/(25) * 100$ = -20%
This means that the temperature decreased by 20%

Hope this helps :)

Answer:

Step-by-step explanation:

First, we need to get the amount of change:

The amount of change can either be an increase or a decrease.

It can be calculated as follows:

amount of change =

If the amount of change is positive, then it is an increase

If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:

Changing the amount into a percentage can simply be done by multiplying this amount by 100

This means that:

% of change = amount of change * 100

Combining the two steps:

% of change = * 100

Examples:

The original price of a certain product was $10. It then became $12. Find the % of increase.

% of change = = 20%

This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.

% of decrease = = -20%

This means that the temperature decreased by 20%

Hope this helps :)

What is the product?

2x(x – 4)

Answers

Keywords:

Product, factors, polynomial, distributive property

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: $a (b + c) = ab + ac.$