The scale factor which used to perform the dilation was 0.4
Step-by-step explanation:
If point (x , y) is dilated about the origin by a scale factor k, then
- Its image is point (kx , ky)
- If k > 1, then kx > x and ky > y
- If 0 < k < 1, then kx < x and ky < y
∵ Δ RST is dilated about the origin O to create Δ R'S'T'
- Assume that the scale factor is k
∵ Point R is (3 , 9)
∴ x = 3 and y = 9
∵ Point R' is (1.2 , 3.6)
∴ kx = 1.2 and ky = 3.6
∵ x = 3 and kx = 1.2
- Substitute x in kx to find k
∴ k(3) = 1.2
∴ 3k = 1.2
- Divide both sides by 3
∴ k = 0.4
To check your answer use the y-coordinates of R and R' to find k
∵ y = 9 and ky = 3.6
- Substitute the value of y in ky to find k
∵ k(9) = 3.6
∴ 9k = 3.6
- Divide both sides by 9
∴ k = 0.4
∴ The scale factor is 0.4
The scale factor which used to perform the dilation was 0.4
Learn more:
You can learn more about dilation in brainly.com/question/3552621
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120/6=20 20*10=200
The answer is 200
Answer: y - 19 = 2(x - 5)
Step-by-step explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The given points are (5,19) and (-5,-1)
y2 = - 1
y1 = 19
x2 = - 5
x1 = 5
Slope,m = (- 1 - 19)/(- 5 - 5) = - 20/- 10 = 2
To determine the equation, we would substitute x1 = 5, y1 = 19 and m= 2 into the point slope form equation. It becomes
y - 19 = 2(x - 5)
Answer:
Maria can drive 400 miles.
Step-by-step explanation:
30 + 0.15x = 90
0.15x = 60
x = 60/0.15
x = 400
