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givi [52]
4 years ago
5

What is the difference -2 1/4-(-3/4)=

Mathematics
1 answer:
sergeinik [125]4 years ago
3 0

Answer:

Step-by-step explanation:

3/12

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consider gk located at g (0,0) and k (4,4). describe the dilation of gk by a scale factor of 2 centered at (-2,-4)
KonstantinChe [14]

Solution: The dilation of gk by a scale factor of 2 centered at (-2,-4)  is g'(2,4) and k'(10,12).

Explanation:

It is given that the scale factor is 2 and center of dilation is (-2,-4).

If the center of dilation is (a,b) with scale factor k, then the dilation of a point P(x,y) is determined by the given formula.

D(x,y)=(a+k(x-a),b+k(y-b))     .....(1)

To find the g' substitute x=0, y=0, a=-2, b=-4 and k=2 in equation (1).

g'=(-2+2(2),-4+2(4))\\g'=(2,4)

To find the k' substitute x=4, y=4, a=-2, b=-4 and k=2 in equation (1).

k'=(-2+2(4+2),-4+2(4+4))\\g'=(10,12)

Therefore, the dilation of gk by a scale factor of 2 centered at (-2,-4) is g'(2,4) and k'(10,12).

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