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3 years ago

Find the radius of the circle. 6(x – 3)2 + 6(y + 7)2 = 216

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Answer:

radius=6

Step-by-step explanation:

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If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.

kow [346]

<u>ANSWER:</u>

If $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ and $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ then the difference of a and b is 6

<u>SOLUTION:</u>

Given, $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ → $\sqrt{a}-\sqrt{b}=3$ ----- (1)

And $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ → $\sqrt{a}+\sqrt{b}=2$ --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

$\sqrt{a}-\sqrt{b}=3$

$\sqrt{a}+\sqrt{b}=2$

Adding above two equations, we get,

$2 \sqrt{a}+0=2+3$

$\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}$

substitute $\sqrt{a}$ value in (2)

$\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}$

Now, difference of a and b is a – b = $\frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6$

Hence, the difference of a and b is 6.

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4 years ago

Find the measure of angle DFC

Jlenok [28]

DFC equals 180 because all triangles add up to 180. And their sides are the same so 180/3=60

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Which of the following numbers has a prime factorization of 2 x 5 x 5?

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Answer:

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Step-by-step explanation:

the factorazation is 5×5

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4 years ago

An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.

almond37 [142]

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The answer is 12.6 lbs of alloy. Sorry if I'm wrong

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4 years ago

Write 73% as a simplified fraction

Murrr4er [49]

Answer:

73/100

Step-by-step explanation:

73% = 73/100

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Find the radius of the circle. 6(x – 3)2 + 6(y + 7)2 = 216​

Find the radius of the circle. 6(x – 3)2 + 6(y + 7)2 = 216