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Aleksandr-060686 [28]

2 years ago

5

A circle is described by the equation (x−1/2 )^2 +(y−3/2 )^2 =4/9 . What are the cordinates for the center of the circle and the

length of the radius? A) (-1/2 ,-3/2 ) , 2/3 units B) (-1/2 ,-3/2 ) , 4/9 units C) (1/2 ,3/2 ) , 4/9 units D) (1/2 ,3/2 ) , 2/3 units

1 answer:

Orlov [11]2 years ago

7 0

-1/2,-3/2 I think but not sure

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tiny-mole [99]

Answer:

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Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures $45^o$ . Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

$(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}$

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2 years ago

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Answer:

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Step-by-step explanation:

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