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321596
06.10.2021 •
Mathematics
Calculate F'(0), where
F(x)= (5x^8 - 8x^3 + 4x^2 - 4x)/ (2x^4 - (2x^7 +9x^5) - 6)
Hint: Do not calculate F'(x). Instead, write F(x) = f(x)/ g(x) and express F'(0) directly in terms of f(0), f'(0), g(0), g'(0).
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Ответ:
1.Scale factor is 1/4
2. The coordinates are .P''(-1,0) ,Q''(0,-1),R''(2,-1)
Step-by-step explanation:
The formula for dilation is
A(x,y)A'(sx, sy) where s is the scale factor of dilation
Taking point R(-8,-4) R'(-2,-1) finding the scale factor of dilation will be;
s(-8) = -2
s=-2/-8 = 1/4
scale factor is 1/4
2.Given that triangle P'(1,0), Q'(0,-1) and R'(-2.-1) then applying reflection about the y-axis, the formula states that the y-coordinate will remain the same but the x-coordinate will take an opposite sign
This will mean
P'(1,0)P''(-1,0)
Q'(0,-1)Q''(0,-1)
R'(-2.-1)R''(2,-1)