$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=8 \end{cases}\implies SA=4\pi (8)^2\implies SA=256\pi \\\\\\ \stackrel{\textit{half of that for a \underline{hemi}sphere}}{\cfrac{256\pi }{2}\implies 128\pi \implies }\stackrel{\textit{rounded up}}{402.1}$

4 0

3 years ago

If x 2 = x + 1, find x 3 , giving your answer in the form ax + b.

GalinKa [24]

Answer:

${x}^{2} = x + 1 \\ x = {x}^{2} - 1 \\ {x}^{3} = { ({x}^{2} - 1)}^{3} \\ = (x - 1) {}^{3} (x + 1) {}^{3}$

4 0

3 years ago

What is the x-intercept of the equation y=-5x+1,450?

ladessa [460]

Substitute the value for y as 450

450=-5x+1

Solve for x

450-1=-5x

449=-5x

89.8=-x

x=-89.8

6 0

3 years ago

Read 2 more answers

The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+

marusya05 [52]

Answer:

The graph g(x) is the graph of f(x) translated 2 units right, and g(x) = f(x-2)

Step-by-step explanation:

g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.

f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.

f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)

In order to check this result, we make:

f(x) = 3x + 1

f(x-2) = 3(x-2) + 1

f(x-2) = 3x - 6 + 1

f(x-2) = 3x - 5 = g(x)

3 0

3 years ago