Select the correct answer. Which function has zeros of -8, 1, and 3?

this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y

marissa [1.9K]

Answer:

r = 3V/(2πh²)
h = 3V/b²
r = 25/π cm ≈ 7.9577 cm
w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

$V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}$

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2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

$V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}$

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3. Solve the circumference formula for r, then substitute the given information.

$C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}$

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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

$P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}$

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In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0

3 years ago

If rectangle ABCD was reflected over the y-axis, reflected over the x-

olga_2 [115]

Answer:

-4, 1

Step-by-step explanation:

5 0

4 years ago

Can someone explain these two math questions to me?<br><br> −2 + 4 ⋅ 32 − 6<br><br> 5 + 42 ÷ 2(3)

zepelin [54]

The first one would be 120 the second one would be 68

8 0

3 years ago

Read 2 more answers

¿A qué porcentaje corresponden 32 unidades de un total de 40?

mezya [45]

Answer:

Explicación paso a paso: 32 * 100 = 3,200. 3,200/40 = 80%. esa es la fórmula correcta para sacar este porcentaje

Step-by-step explanation:

:)

8 0

3 years ago

Please anyone help please ASAP

denis23 [38]

Answer:

Angle WTS will be 180 degree minus 15x. You can write this as an expression:

180-15x

Now you have an expression for each angle in the triangle. Triangles will always have 180 degrees in them. You can add the expressions together and set it equal to 180. Then you can solve the equation for the x variable.

Step-by-step explanation:

Angle SWT + angle WTS + angle TSW = 180 degrees

Replace each angle with the expression then solve.

3 0

3 years ago

Read 2 more answers