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Luda [366]
3 years ago
7

What is the diameter of the circle ?

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

The answer to your question is diameter = 2\sqrt{61}

Step-by-step explanation:

                             2x² + 2y² - 20x - 20y - 22 = 0

Solution

                           2x² - 20x      + 2y²  - 20y       = 22

                            2(x² - 10x       )   + 2(y² - 10y       )  = 22

Complete perfect square trinomials

                            2(x² - 10x + 5²)  + 2(y² - 10y + 5²) = 22 + 50 + 50

Factorize

                            2(x - 5)² + 2(y - 5)² = 122

                              (x - 5)²  +  (y - 5)² = 61

radius = \sqrt{61}

diameter = 2r

diameter = 2\sqrt{61}                            

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3 0
3 years ago
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A door sign has a length of 5 inches and an area of 8 1/8 square inches. Find the unknown width.​
jasenka [17]

Answer:

1.625

Step-by-step explanation:

8 1/8 is also known as 8.125

Divide

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5 0
3 years ago
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Vladimir79 [104]
\frac{4}{6} + \frac{2}{3}

First, simplify \frac{4}{6} to \frac{2}{3} / Your problem should look like: \frac{2}{3} + \frac{2}{3}
Second, join the denominators. / Your problem should look like: \frac{2+2}{3}
Third, simplify. / Your problem should look like: \frac{4}{3}
Fourth, convert to mixed fraction. / Your problem should look like: 1\frac{1}{3}

Mixed number form: 1\frac{1}{3}
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7 0
3 years ago
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Q. Find the Volume
Ilia_Sergeevich [38]

Answer:

  • \boxed{\sf{125.5m^{3} }}

Step-by-step explanation:

To determine a volume, you need a volume formula.

<u>Volume:</u>

\Longrightarrow:\sf{V=l*w*h}

  • L stands for length: 7.1
  • W stands for width: 5.2
  • H stands for height: 3.4

<u>Multiply these numbers from left to right.</u>

\sf{7.1m*5.2m*3.4m=\boxed{\sf{125.5m^{3}}}

  • <u>Therefore, the correct answer is 125.5m³.</u>

I hope this helps you! Let me know if my answer is wrong or not.

8 0
3 years ago
Complete the inequality.<br><br> 6 gallons ___ 50 pints<br> &gt; <br> &lt;<br> =
sertanlavr [38]
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8(6) = 48.

6 gallons = 48 pints.

48 pints < 50 pints.

6 gallons < 50 pints

hope that helps mate
3 0
3 years ago
Read 2 more answers
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