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3 years ago

A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?

Mathematics

1 answer:

schepotkina [342]3 years ago

3 0

The answer is B(11, 2sqrt(12) )
proof

the main equation of the circle is (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center
so if the center is the origin, it is O(0,0), and the equation becomes
 (x)²+(y)²=R²
and the circle passes through the point (-5,2) so we can write
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13

and for B(11, 2sqrt(12) ) 11²+ (2sqrt(12))²= 121 + 48= 169= 13
it is checked.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

Read 2 more answers

Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.

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Answer:

See below ~

Step-by-step explanation:

Question 3 : (x, y - 5)

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L' = (1, 4 - 5) = (1, -1)
M' = (-1, 0 - 5) = (-1, -5)
N' = (-5, -2 - 5) = (-5, -7)

Question 4 : (x + 4, y + 1)

D' = (-4 + 4, 3 + 1) = (0, 4)
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2 years ago