2 years ago

Write the equation in standard form for the circle with center (0, -6) and radius 7.

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

4 0

Step-by-step explanation:

the equation of circle is given by

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} \\ (x - 0) {}^{2} + {(y + 6)}^{2} = {7}^{2} \\ {x }^{2} + {y}^{2} + 12y + 36 = 49 \\ {x }^{2} + {y}^{2} + 12y = 13$

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Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f

Reil [10]

Answer:

$\large\boxed{a(V)=\sqrt{\dfrac{3V}{8}}}$

Step-by-step explanation:

The formula of a volume of a square pyramid:

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Substitute and solve for a:

$\dfrac{1}{3}a^2(8)=V\\\\\dfrac{8}{3}a^2=V\qquad\text{multiply both sides by}\ \dfrac{3}{8}\\\\\dfrac{3\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}\cdot\dfrac{8\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}a^2=\dfrac{3}{8}V\\\\a^2=\dfrac{3V}{8}\Rightarrow a=\sqrt{\dfrac{3V}{8}}$