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3 years ago

Graph y=x^2+y^2-4x+8y+16

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

Here is the function graphed. This is what you asked for.

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Y = (x+3)² – 64<br> how do you write this in standard form

gregori [183]

Answer:

i think its y = x² + 6x - 55

7 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

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Will the sign of the product of two negative numbers be negative or positive? Explain your answer.

gogolik [260]

Answer:

Step-by-step explanation:

6 0

3 years ago

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Mr Torres has seven dollars in $1 bill and fifteen dollars in $5 bills. If he gives his daughter three bills that are not all th

adoni [48]

Two can be the same and for the most that would be two $5 bills and the third would be a $1 bill so the most he could give her is $11

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3 years ago

Adrian spends $238 on a DVD. If he buys 18 DVD,s approximately how much money will he spend in all?

bija089 [108]

Answer:

Adrian would spend exactly $4,284.

Step-by-step explanation:

Multiply the cost by the number of products purchased:

$238 x 18 = $4,284

Have a good day :)

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3 years ago

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