If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its center point is (5, 7) (-5, 7) (5, -7)

If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its radius is 6 16 36

If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, the center is point (2, 6).

ATrue
BFalse

The distance between A (-5, 3) and B(5, 3) is. 3 6 10

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caylus caylus · Answer 1 · 2016-06-09T09:32:14-04:00

Hello,
1): its center point is (-5,7). Answer B
2):radius is 6 Answer A
3) Anwser A true
4)|AB|=√((5+5)²+(3-3)²)=10 Answer C

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aquialaska aquialaska · Answer 2 · 2019-06-10T11:24:00-04:00

Answer:

Part 1. Center point is ( -5 , 7 ).

Part 2. Radius is 6

Part 3. False

Parts 4. Distance between A & B is 10.

Step-by-step explanation:

Standard Equation of circle is ,

( x - h )² + ( y - k )² = r²

where, ( h , k ) is coordinate of center of circle and r is radius of circle.

Part 1.

Comparing with standard equation of circle we get,

Coordinate of center of circle = ( -5 , 7 )

Thus, 2nd Option is correct.

Part 2.

Comparing with standard equation of circle we get,

radius of circle = 6

Thus, 1st Option is correct.

Part 3.

Comparing with standard equation of circle we get,

Coordinate of center of circle = ( 2 , 3 )

Thus, False.

Part 1.

Distance between two point given by \(\sqrt{(x_2-x_1)^2+(y_1-y_1)^2}\)

Distance between A( -5 , 3 ) & B ( 5 , 3 ) = \(\sqrt{(-5-5)^2+(3-3)^2}\)

= \(\sqrt{(-10)^2+0^2}\)

= \(10\)

Thus, 3rd Option is correct.