I need some help on this. I tried doing it myself.

RST has vertices R(0,0), S(10,5), and T(5,-5). R’S’T’ is the image of RST after a dilation with center (0,0) and scale factor 1/

AysviL [449]

The coordinates of the point S' is (2,1)

Explanation:

Given that the RST has vertices R(0,0), S(10,5) and T(5,-5)

The image R'S'T' is the image of RST after a dilation with center (0,0) and scale factor $\frac{1}{5}$

We need to determine the coordinates of the point S'

The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor $\frac{1}{5}$

Let us consider the x - coordinate of the point S and multiply it with the scale factor $\frac{1}{5}$

Thus, we have,

x - coordinate of the point S' is given by

$10 \times \frac{1}{5}=2$

Thus, the x - coordinate of the point S' is 2

Similarly, the y - coordinate of the point S' can be determined by multiplying the point S with the scale factor $\frac{1}{5}$

Thus, we have,

The y - coordinate of the point S' is given by

$5\times\frac{1}{5}=1$

Thus, the y - coordinate of the point S' is 1

Hence, the coordinates of the point S' is (2,1)

3 0

3 years ago

Read 2 more answers

At Smith's Sporting Goods,3 out of every 10 customers make a purchase. Write a ratio to compare the number of customers who make

sergejj [24]

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

7 0

3 years ago

What is -|-4| equal to?

goblinko [34]

Simple, it is equal to |4|, you have to draw the lines around the 4 on the worksheet.

4 0

3 years ago

Steps for x squared plus y squared minus 8x + 12 y + 27 equals 0

Sphinxa [80]

X²+y²-8x+12y+27=0
x²+y²-8x+12y=-27
x²-8x +y²+12y = -27
x²-8x+16 + y+12y+36 = -27+16+36=25
(x-4)² + (y+6)² = 25

a circle centered at (4,-6) with a radius of 5

6 0

3 years ago

An epidemiologic study examined the incidence of symptomatic Chlamydia infection in a cohort of 2000 young women in a county in

seraphim [82]

a. If no one dropped out of the study and no one developed Chlamydia infection during the study period, the total number of person-years = 10,000 person-years (2,000 x 5 years).

<h3>What are person-years?</h3>

Person-years are the product of the number of people in a study and the amount of time each person spends in the study.

Thus, since there are 2,000 women in this study, who spend 5 years each, the person-years are 10,000 (2,000 x 5) person-years.

b. The estimated incidence rate of Chlamydia infection among women who participated in the study is 0.62 or 620 per 1,000 person-years (6,200/10,000).

<h3>What is an incidence rate?</h3>

An incidence rate describes the quickness of disease occurrence in a population. Since the incidence rate is based on person-time, it has some advantages over an incidence proportion, which measures the probability of developing a disease during the specified period.

<h3>Data and Calculations:</h3>

Sample of young women = 2,000

Period of study = 5 years

Subjects newly diagnosed with infection = 440

Total number of person-years of subjects diagnosed = 6,200

Thus, the total number of person-years in the study is <u>10,000 person-years</u>, while the incidence rate is <u>620 per 1,000</u>.

Learn more about incidence rates at brainly.com/question/24493066

3 0

2 years ago