Answer:
a) ΔF'G'H' is the image of ΔFGH
b)Center of dilation (7,-1)
c) Scale factor: 
Step-by-step explanation:
Question a
Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.
Question B.
To find the center of dilation, draw straight lines through any two corresponding points.
The straight lines will meet at (7,-1).
This is called the center of dilation.
See graph in attachment.
Question c
The scale factor of the dilation is given by;
Answer: y = -x + 2
Step-by-step explanation:
When x=0, y = 2
When y=0, x = 2
Hope this helps!
12 is decided by 2 and 3 so it’s not prime
Answer:
y=-2x+4
Step-by-step explanation:
we use the formula for the line and substitute what we already know, which is that the y-intercept is (0,4):
y=mx+4
then, you use the formula for slope:
Δy/Δx
(4-0)/(0-2)
4/-2
-2
you substitute the slope into the equation and the answer:
y=-2x+4
Hope this helps :)
P.S: m is the variable for the slope
8(1+5x) + 5 = 13 + 5x
multiply the bracket by 8
(8)(1)=8
(8)(5x)=40x
8+40x+5=13+5x
8+5+40x=13+5x
13+40x=13+5x
move 5x to the other side
sign changes from +5x to -5x
13+40x-5x=13+5x-5x ( combine like terms)
13+35x=13
move 13 to the right side
13-13+35x=13-13
35x=0
divide both sides by 35 to get x by itself
35x/35=0/35
Answer:
x=0
