I dislike this kind of math, pointless in my eyes
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
y=x^2-2x-15 (1) y=8x-40 (2)
8x-40=x^2-2x-15
X^2+10x-25=0
(x-5)^2
×=5 y=0
Answer:
6 grapples
Step-by-step explanation:
x = number of wins
y = number of ties
y = 15 - x
48 = 5x + 2y
48 = 5x + 2(15 - x)
48 = 5x + 30 - 2x
48 = 3x + 30
18 = 3x
x = 6
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