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3 years ago

A parabola has a vertex of (5,4) and goes through the point (6,-10)

1 answer:

5 0

Y = -2(x-5)^2 + 4

Note: vertex form is 0, f(x), y, or nothing= a(x-h)^2 + k
The opposite of the x value of the vertex is h
The y value value of the vertex is k.

Find a. Plug in (6,-10)

-10 = a(6-5)^2 + 4
-10 = 1a + 4
-10 = 5a
a = -2

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Answer:

135

Step-by-step explanation:

simply You're asked 15% of 900 so

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3 years ago

Which graph represents the hyperbola of (x ^ 2)/9 + (y ^ 2)/4 = 1

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3 years ago

Read 2 more answers

The formula for calculating the volume of a cone is solve this formula for h

elixir [45]

Answer:

$V = \frac{1}{3} \pi {r}^{2} h \\$

multiply either sides by 3:

$3 \times V = ( \frac{1}{3} \pi {r}^{2} h) \times 3 \\ \\ 3V = \pi {r}^{2} h$

divide either sides by πr² :

${ \boxed{ \boxed{h = \frac{3V}{\pi {r}^{2} } }}} \\$

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2 years ago

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Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 121212 feet^3 3 start superscrip

Dahasolnce [82]

Answer:

The question is incomplete, the complete question is Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 12 ft³ of fluffy material. The base is 3 ft, the height is 2 ft, what is the length of the pillow?

The length of the pillow is 4 feet

Step-by-step explanation:

The formula of the volume of the wedge is $V=\frac{1}{2}bhl$ , where

b is the base of it
h is the height of it
l is the length of it

∵ The pillow in the shape of a wedge

∵ The pillow is filled with 12 ft³ of fluffy material

∴ The volume of the wedge = 12 ft³

∵ The base = 3 feet

∵ The height = 2 feet

- Use the formula of the volume above to find its length

∵ $V=\frac{1}{2}(2)(3)l$

∴ V = 3 l

∵ V = 12 ft³

- Equate 3 l by 12

∴ 3 l = 12

- Divide both sides by 3

∴ l = 4 feet

∴ The length of the pillow is 4 feet

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3 years ago