A basketball gymnasium is shaped like a rectangular prism. Which units are the most reasonable to use when measuring the volume
1 answer:
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Answer:
x = 3; y = 2
Step-by-step explanation:
You would just set each side equal to its opposite so for x, it'll be like:
4x+6=7x-3
and for y:
4y-3=3y+1
I attached my work below as well to help you.
Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)