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3 years ago

What is the center and radius of the circle with equation x2 + y2 - 4x + 22y + 61 = 0?

1 answer:

6 0

Hello,

$x^2+y^2-4x+22y+61=0\\\\
(x^2-4x+4) +(y^2+22y+121)-121-4+61=0\\\\
(x-2)^2+(y+11)^2=64


$

Center is (2,-11) and radius is 8

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The GCF of 28x^3 and 16x^2y^2

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I think the greatest common factor is 4

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What is the value of x? enter your answer in the box. x = _

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Answer: x = 7

Step-by-step explanation:

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3 years ago

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umka2103 [35]

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Hey there!

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3 years ago

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Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon lef

Nastasia [14]

Answer:

Orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

Step-by-step explanation:

Given:

Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon left.

Now, to find the orange ribbon Zoe use.

Let the orange ribbon Zoe use be $x.$

Total orange ribbon Zoe had = $3\frac{1}{8} = \frac{25}{8} \ feet.$

Ribbon Zoe had left = $1\frac{3}{8} =\frac{11}{8} \ feet.$

Now, to get the orange ribbon Zoe use:

$\frac{25}{8} -x=\frac{11}{8}$

Subtracting both sides by $\frac{11}{8}$ we get:

$\frac{25}{8} -x-\frac{11}{8} =0$

Adding both sides by $x$ we get:

$\frac{25}{8} -\frac{11}{8} =x$

$\frac{25-11}{8} =x$

$\frac{14}{8}=x$

$x=\frac{14}{8}$

$x=\frac{7}{4}$

$x=1\frac{3}{4}\ feet.$

Therefore, orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

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2 years ago