Let y = f(x) = x^2 - 81
y + 81 = x^2
x = sqrt(y + 81)
switch y to x, x to y
y = sqrt(x + 81) = f-1(x)
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➷ A) 5 x 2 = 10
The enlarged cube's side length is 10 cm
B) Work out the volume of the original cube:
Volume = 5 x 5 x 5
Volume = 125 cm^3
As it is volume, you have to cube the scale factor
2^3 = 8
Multiply this new scale factor by the volume:
125 x 8 = 1000
The enlarged cube's volume is 1000 cm^3
C) Work out the surface area of the original cube:
S.A = 5 x 5 x 6
S.A = 150 cm^2
As it is area, you have to square the scale factor
2^2 = 4
Multiply this new scale factor by the surface area:
150 x 4 = 600
The enlarged cube's surface area is 600 cm^2
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here's the solution,
slope of the line
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so, slope of the line is, <em><u>-3</u></em>