3 years ago

Rewrite the equation by completing the square. x^{2}+16x+64 = 0

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

8 0

Answer:

(x+8)²

Step-by-step explanation:

x² + 16x + 64 = (x+8)²

(x+8)² = (x+8)(x+8) = x*x + x*8 + 8*x + 8*8 = x² + 8x + 8x + 64

= x² + 16x + 64

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The volume of a sphere is 1928π m3 . What is the surface area of the sphere to the nearest tenth?

Rufina [12.5K]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad \begin{cases}
r=radius\\
------\\
V=1928\pi 
\end{cases}\implies 1928\pi =\cfrac{4}{3}\pi r^3
\\\\\\
1928\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 1928\pi }{4\pi }
=r^3\implies 1446=r^3
\\\\\\
\sqrt[3]{1446}=r\\\\
-------------------------------\\\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2\qquad r=\sqrt[3]{1446}\implies S=4\cdot \pi \cdot \sqrt[3]{1446^2}$