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3 years ago

Which equation represents y = x2 + 16x + 70 in vertex form?

Mathematics

1 answer:

baherus [9]3 years ago

8 0

Answer:

y = (x + 8)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² + 16x

y = x² + 2(8)x + 64 - 64 + 70

= (x + 8)² + 6 ← in vertex form

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3 years ago

It's geometry please help.

oksano4ka [1.4K]

Answer:

BC = 22

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3 years ago

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3 years ago

Read 2 more answers

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BARSIC [14]

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3 years ago

Help please, i don't understand it!!!!

velikii [3]

$V=\dfrac{4}{3}\pi r^3\ \ \ |\cdot\dfrac{3}{4}\\\\\pi r^3=\dfrac{3V}{4}\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{4\pi}\ \ \ |:r\\\\r^2=\dfrac{3V}{4\pi r^2}$

Substitute to S.A.

$S.A.=4\pi r^2=4\pi\cdot\dfrac{3V}{4\pi r^2}=\dfrac{3V}{r}$

$\dfrac{S.A.}{V}=\dfrac{4\pi r^2}{\frac{4}{3}\pi r^3}=\dfrac{3}{r}$

$\dfrac{S.A.}{V}=1\to\dfrac{3}{r}=1\to r=3$

Answer: B

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3 years ago