The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
See picture for solution to your problem.
Answer: $32.70
Step-by-step explanation:
Total amount spent on Video game rentals:
= Number of video game rentals * rental price of video game
= 5 * 2.10
= $10.50
Total amount spent on DVD rentals:
= Number of DVD rentals * rental price of DVD
= 6 * 3.70
= $22.20
Total spent on both:
= 10.50 + 22.20
= $32.70
Take out common factor, 3 :
3x - 3 = 3(x - 1)
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Answer: 3(x - 1)
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