Answer: Choice B
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Explanation:
When dilating with respect to the origin, any point of the form (x,y) moves to (kx, ky) for some real number k. The k is the scale factor.
Point C is at (-2,2). It moves to C ' (-5,5)
The jump from x = -2 to x = -5 is "times 5/2" since kx = (5/2)*(-2) = -5
The same scale factor is used when going from y = 2 to y = 5.
Both x and y coordinates are multiplied by 5/2 to move from (-2,2) to (-5,5)
Therefore, the dilation rule we use is
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We could have these steps to confirm
The GCF stands for greatest common factor. To represent a sum by its GCF we need to use the distributive property and we need to first find the GCF of the numbers. Let's break each number by its factors:
We now multiply the numbers that appear on both.
We now apply the distributive property:
Because you can't do it.
And I think your teacher means turn it into a improper fraction
10^6 = 10 *10*10*10*10*10 = 1,000,000
10^2 = 10*10 = 100
1000000/100 = 10,000 times larger
ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph
