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uysha [10]
3 years ago
7

Mrs. Culland is finding the center of a circle whose equation

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

The center of the circle is (-3,-2)

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center

r is the radius

In this problem we have

x^{2} +y^{2}+6x+4y-3=0

Completing the square

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^{2}+6x) +(y^{2}+4y)=3

Complete the square twice. Remember to balance the equation by adding the same constants to each side.

(x^{2}+6x+9) +(y^{2}+4y+4)=3+9+4

(x^{2}+6x+9) +(y^{2}+4y+4)=16

Rewrite as perfect squares

(x+3)^{2} +(y+2)^{2}=16

therefore

The center of the circle is (-3,-2)

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Question and answer in the picture
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Answer:

m =3/4

Step-by-step explanation:

3x-4y = 12

We need to solve for y

Subtract 3x from each side

3x-3x-4y = -3x+12

-4y = -3x+12

Divide by -4

-4y/-4 = -3x/-4 + 12/-4

y = 3/4 x -3

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The slope is 3/4

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Answer:

Triangle A is congruent to triangle G

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The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the
Trava [24]

Answer:

Radius of the sphere = r

<u>Volume of sphere:</u>

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<u>Volume of the hemisphere:</u>

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The volume of the hemisphere is 4 times greater than the volume of the sphere

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Write 55 in standard form.<br> 3125<br> 3235<br> 5 x 5 x 5 x 5 x 5<br> 5 x 5 x 5 x 5
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9514 1404 393

Answer:

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Step-by-step explanation:

Your calculator can help with this.

  5⁵ = 5×5×5×5×5 = 3125

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The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
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Answer:

60 sides

Step-by-step explanation:

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Then, you get the equation

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