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4 years ago

The perimeter of a rectangle changes from 2.5 to 10 after a dilation. What was the scale factor of the dilation?

Mathematics

2 answers:

julsineya [31]4 years ago

8 0

Answer:

B. 4

Step-by-step explanation:

Let x be the scale factor of the given dilation.

We have been given that the perimeter of a rectangle changes from 2.5 to 10 after a dilation. We are asked to find the scale factor of dilation.

The scale factor multiplied by the original side gives the length of new side after dilation, so we can set an equation as:

$\text{Original length }\cdot \text{Scale factor}=\text{New length after dilation}$

Upon substituting our given values in above equation we will get,

$2.5\cdot x=10$

Upon dividing both sides of our equation by 2.5 we will get,

$\frac{2.5\cdot x}{2.5}=\frac{10}{2.5}$

$x=4$

Therefore, the scale factor of the given dilation is 4 and option B is the correct choice.

yawa3891 [41]4 years ago

7 0

Scale factor = new length/old length

scale factor = 10/2.5 = 4

The scale factor is 4.

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3 years ago

Which exponential equation is equivalent to this logarithmic equation?

boyakko [2]

Answer:

B or A

Step-by-step explanation:

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3 years ago

In a lab, 180 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 8%

jasenka [17]

Answer:

The answer is 9 hours

Step-by-step explanation:

From the initial population of 180 cells, the number grows by 8% every hour for the first 9 hours.

This represents a increased population of 108% the previous population.

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So the new population after n hours is

180 x 1.08^n

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4 years ago

_____ have congruent corresponding parts.

aniked [119]

Answer:

Two congruent figures

Step-by-step explanation:

Here we have to use the definition of congruent.

Congruent means equal to each other.

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If the two triangles said be congruent, their corresponding angles and corresponding sides are equal.

They will have to same size of the sides and same measure of angles.

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Hope this will help you.

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4 0

3 years ago

JUST ANSWER PLEASE!!! QUICK

jeka57 [31]

Answer:

Options 1 and 3

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given: the solution for the following system is (2,9)

Px + Qy = R ⇒(1)

Tx + Uy = V ⇒(2)

We will check which system of equation has the same solution.

System A) Px + Qy = R

(P+T)x + (Q+U)y = R+V ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

System B) Px + Qy = R

(P+2T)x + (Q+2U)y = R-2V ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

(P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

System C) (T-P)x + (U-Q)y = V-R ⇒(5)

Tx + Uy = V

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

System D) (T-P)x + (Q+U)y = V-R ⇒(6)

Tx + Uy = V

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) OR (T-P) and (Q-U)

So, system D has not the same solution of (2,9)

System E) (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

Tx + Uy = V

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

Options 1 and 3

5 0

3 years ago