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forsale [732]
3 years ago
9

The circle below is centered at the point (1, 2) and has a radius of length 3.

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

Step-by-step explanation:

The general circle equation is

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

where r is the radius.

Since we know all the information just plug it in the equation above.

(x - 1) { }^{2}  + (y - 2) {}^{2}  =  {3}^{2}

Simplify 3 squared.

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

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2 hours

Step-by-step explanation:

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3 years ago
Nathan wants to draw a triangle. He knows that two of the side lengths are 5 inches and 7 inches. What is a possible length for
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the third side would be 5 inches.

Step-by-step explanation:

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2 years ago
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If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
Jlenok [28]

Answer:

Value of b = \frac{5}{4} =1.25.

Step-by-step explanation:

Direct Variation states that a relationship  between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,  

a \propto b then it is of the form

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Given: a varies directly as b;

then, by definition of direct variation;

we have;

a = kb             .....[1]

Substitute the value of a =28 and b =7 to solve for k;

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Divide both sides by 7 we have;

\frac{28}{7}=\frac{7k}{7}

Simplify:

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now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

5=(4)b

Divide by 4 to both sides we get;

b =\frac{5}{4}

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3 years ago
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