What is true about the image ΔQ'R'S'? Select three options. Which statements are true?

DO,2 (x, y) = (2x, 2y)
Side Q'S' lies on a line with a slope of -1.
QR is longer than Q'R'.
The vertices of the image are closer to the origin than those of the pre-image.
The distance from Q' to the origin is twice the distance from Q to the origin.

Side Q'S' lies on a line with a slope of -1.

The distance from Q' to the origin is twice the distance from Q to the origin.

Step-by-step explanation:

The explanations are as follows

As we can see from the attached figure that the ΔQ'R'S' is dilated i.e transformation is made or change in size

Now

Based on

(x,y) = (2x,2y)

The intercepts are as follows

For S

(-1,1)  = (-2,2)

For Q

(-3,3) = (-6,6)

For S

(2,4) = (4,8)

Based on this we can say that the three above options are correct

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.