All categories

3 years ago

What is the scale factor of this dilation?

Mathematics

2 answers:

Slav-nsk [51]3 years ago

7 0

Answer: C) Three-fourths

I.e., the fraction 3/4

======================================================

Explanation:

Let's pick on the horizontal sides. Divide the image length Y'Z' = 9 over the corresponding preimage length YZ = 12 to get

(Y'Z')/(YZ) = 9/12 = 3/4 which is the scale factor

The scale factor is less than 1, meaning the image's lengths are shorter compared to the preimage's corresponding lengths.

-----------------

Alternative Paths:

You can pick any other pair of corresponding sides to get the same result:

(X'Y')/(XY) = (7.5)/(10) = 75/100 = 3/4
(Z'X')/(ZX) = 6/8 = 3/4

sesenic [268]3 years ago

3 0

Answer:

$scale ~factor= Z'Y'/ZY$

$=9/12$

$=3/4=0.75$

$So ~your~ answer ~will~ be ,~C.) Three-fourths$

-------------------------------

hope it helps...

have a great day

You might be interested in

HELP ASAP 80 POINTS !!!!!

Ksivusya [100]

$y=a^x\\\\if\ a>1,\ then\ the\ graph\ is\ increase\ and\ has\ positives\ values\ of\ y\\\\if\ a\in(0,\ 1),\ then\ the\ graph\ is\ decrease\ and\ has\ positives\ values\ of\ y\\\\y=-a^x\\\\if\ a\in(0,\ 1),\ then\ the\ graph\ is\ increase\ and\ has\ negatives\ values\ of\ y\\\\if\ a>1,\ then\ the\ graph\ is\ decrease\ and\ has\ negatives\ values\ of\ y$

$f(x)+n\to translate\ the\ graph\ n\ units\ up\\\\f(x)-n\to translate\ the\ graph\ n\ units\ down\\\\$

$\text{We have the decrease graph with negatives values of y}.\\\\\text{Therefore your answer is}:\ \boxed{y=-4^x+3}$

4 0

4 years ago

Read 2 more answers

https://lh5.googleusercontent.com/BTB8IVPp1M9ftWYrmUv4V29JTOIu-fUaQRDbERGKuRvHwen-iiK29m3v1rhGvp6kX40Rv0TBORmiPdtdKLoAv9vuG5Hp5Z

marshall27 [118]

Answer:

it won't let me see the link

8 0

4 years ago

Read 2 more answers

What is bigger 3/8 or 7/20

yulyashka [42]

3/8 would be the answer

6 0

3 years ago

Read 2 more answers

Find four consecutive integers whose sum is 106

hram777 [196]

The sum of 106 is 100 and 10

6 1

3 years ago

Thomas Malthus, a political economist, showed that the human population would outstrip available resources unless kept in check

vredina [299]

Answer:

C. Darwin realized this also applied to plant and animal populations, and this struggle for existence resulted in an opportunity for natural selection to act on differences within populations.

Step-by-step explanation:

Thomas Malthus in his Malthusian theory of population concluded that since population increases geometrically and resources only increase arithmetically, there will reach a point in time when the resources will be not be able to sufficiently cater for the population.

The Charles Darwin theory of Evolution is based on five key observations and conclusions drawn from them. These observations and inferences are summarized as:

Species are more fertile. They birth more offspring than can grow to adulthood.
Populations remain fairly stable with miniscule fluctuations.
Food resources are limited, but are relatively constant most of the time.

Based off these observations, it is seen that there will be a struggle amongst the members of the specie for the limited resources.

In sexually reproducing species, generally no two individuals are identical. Variation is rampant.
Much of this variation is heritable.

From the last two observations, the species that survive then pass on their traits to their offspring and the cycle repeats itself with each subsequent generation being better evolved than the previous ones.

Thus, Darwin discovered that the Malthusian theory of population also applies to plant and animal populations where scarcity of resources gives room for natural selection to take place due to the variation within populations.

4 0

4 years ago