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3 years ago

10

I have to transfer this graph into a vertex form equation, but I'm not sure how to.

1 answer:

tino4ka555 [31]3 years ago

8 0

Answer: y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2

Step-by-step explanation:

vertex form is y=a(x-h)^2 + k

here we can see the vertex is (3,0) which is (x,y). Or (h,k) in this case.

so to plug that into vertex form, we now have y=a(x-3)^2 + 0. or just y=a(x-3)^2.

now we need to find "a" which is the leading coefficient. to do that we can plug in the (6,-6) for the x and y parts of the above equation. so we'd have

-6=a(6-3)^2. which goes to -6=a(2)^2 which is -6=4a. divide each side by 4 to get a = -2/3. plug this in for a

the final equation would be y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2

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Scrat [10]

Go to khan academy they show you how

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3 years ago

What is 22.5x3.32 and Show your Work

Nataliya [291]

Answer:

74.7

Step-by-step explanation:

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4 years ago

A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width

timama [110]

Answer:

$D.\ 3328\ ft^3$

Step-by-step explanation:

Given

Volume of baby pool = 52ft³

Required

Determine the volume of the medium pool

Volume of a cylinder is calculated as:

$V = \pi r^2h$

Hence, the volume of the baby pool is:

$\pi r^2h = 52$

where r and h are the radius and height of the baby pool

Represent the height and radius of the medium pool as H and R

From the given parameters in the question

$H = 4 * h$ and $R = 4 * r$

$H = 4 h$ and $R = 4 r$

The volume of the medium cylinder is calculated as

$Volume = \pi R^2H$

Substitute 4h for H and 4r for R

$Volume = \pi (4r)^2(4h)$

Open bracket

$Volume = \pi (4r) * (4r) * (4h)$

$Volume = \pi 16r^2 * (4h)$

$Volume = \pi 16r^2 * 4h$

Collect like terms

$Volume = \pi r^2 * h * 4 * 16$

$Volume = \pi r^2 h * 64$

Recall that $\pi r^2h = 52$

So, the expression becomes

$Volume = 52 * 64$

$Volume = 3328$

Hence, the medium pool can hold $3328ft^3$ of water

3 0

3 years ago

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha

Natasha2012 [34]

Answer:

C. $(4x-8)^2$

Step-by-step explanation:

We need to determine whether the given polynomial $16x^2-64x+64$ can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

$16x^2-64x+64$

$=16x^2-32x-32x+64$

$=16x(x-2)-32(x-2)$

$=(16x-32)(x-2)$

$=16(x-2)(x-2)$

$=16(x-2)^2$

$=4^2(x-2)^2$

$=(4(x-2))^2$

$=(4x-8)^2$

Hence final answe is choic C. $(4x-8)^2$

6 0

4 years ago

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yKpoI14uk [10]

Answer:Lin

Step-by-step explanation: because it takes him less time for the mile

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4 years ago