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17.12.2020 •
Mathematics
Triangle abc is being dilated with the center of dilation at the origin . The image of c point c’ had coordinates of (7.2,3.6) what is the scale factor of the dilation and what are the coordinates of point a
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Ответ:
First we should do everything inside the brackets. According to BEDMAS we should do multiplication first before subtraction:
(28 × 5 - 5 × 190)
28 × 5 = 140
5 × 190 = 950
(140 - 950) = -810
So now we have:
(-810 - 2 × 5^-2) / 2^3
Next, we do exponents so:
5^-2 = 1/25
2^3 = 8
(-810 - 2 × 1/25) / 8
(-810 - 2/25) / 8
(-20252/25) / 8 = -5063/50
So now we have:
(-5063/50)^4 × 288
If we plug the first term into a calculator and out it to the party of 4, we get:
105136058.7
So that number times 288 we get:
3.03x10^10 as the answer