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3 years ago

The formula for the volume of a cone is V=1/3bh Solve V=1/3bh for b, the base of the cone.

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Answer:

b = 3Vh

Step-by-step explanation:

When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.

V = 1/3bh

(V)(3) = (1/3bh)(3)

3V = bh

(3V)/h = (bh)/h

3Vh = b

b = 3Vh

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(x/x+3)-(8/x+2)=(-13x-6)/(x^2+5x+6)

Fed [463]

Answer:

x = -9

x = 2

Step-by-step explanation:

Given:

$\dfrac{x}{x+3}-\dfrac{8}{x+2}=\dfrac{-13x-6}{x^2+5x+6}$

First, note that

$x^2+5x+6=x^2+2x+3x+6=x(x+2)+3(x+2)=(x+2)(x+3)$

Since $x+2$ and $x+3$ stay in the denominator, then

$x\neq -2\ \text{and}\ x\neq -3$

Now add two fractions which stay in the left part. The common denominator is $(x+2)(x+3),$ so multiply the numerator of the first fraction by $(x+2)$ and the numerator of the second fraction by $(x+3)$ and subtract them in the numerator:

$\dfrac{x}{x+3}-\dfrac{8}{x+2}=\dfrac{-13x-6}{(x+2)(x+3)}\\ \\\dfrac{x(x+2)-8(x+3)}{(x+2)(x+3)}=\dfrac{-13x-6}{(x+2)(x+3)}\\ \\x(x+2)-8(x+3)=-13x-6\\ \\x^2+2x-8x-24=-13x-6\\ \\x^2+2x-8x+13x-24+6=0\\ \\x^2+7x-18=0\\ \\x^2+9x-2x-18=0\\ \\x(x+9)-2(x+9)=0\\ \\(x+9)(x-2)=0\\ \\x+9=0\ \text{or}\ x-2=0\\ \\x=-9\ \text{or}\ x=2$

3 0

3 years ago

Quick algebra 1 question for 10 points!

Ludmilka [50]

Answer:

$f(x)=-2(x-3)^2+2$

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.

x-intercept(s): (2,0),(4,0)

y-intercept(s): (0,−16)

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horrorfan [7]

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Zarrin [17]

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4 years ago

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Norma-Jean [14]

Answer:

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Step-by-step explanation:

The exterior angle of a triangle is equal to sum of the opposite interior angles

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