<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.
Answer:
BC
Step-by-step explanation:
because they never intersect each other
Answer:
Step-by-step explanation:
Any linear equation can be written as y = mx + b
The point will determine b
The slope (m) is found by this formula for a perpendicular line
m1 * m2 = - 1
m1 = -1/m2
m1 = -1/(-2/3)
m1 = 3/2
So our equation looks like
y = 3/2 x + b
Now we use the point (4,-8)
-8 = 3/2 (4) + b
-8 = 3(2) + b
-8 = 6 + b
b = - 14
The answer is
y = 4/2 - 14
A = {x|x∈N,x<4} = {1,2,3}
