Can someone help me and show how to do it
1 answer:
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+
= 34
The equation of a circle in standard form is
+
=
where (a , b) are the coordinates of the centre and r is the radius
The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints
Using the midpoint formula
midpoint = [(x
+
,
(
+
where (,
=(3,8) and (
,
=(-7,2)
centre = ((3-7),
(8+2)) = (-2,5)
Calculate r using the distance formula
r = √(-
)²+(
-
)²)
= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34
equation of circle is : (x+2)²+(y-5)² = 34
So we are given the expression:
÷
When we divide fractions, we must flip the second term and change the sign to multiplication:
And then we multiply across:
Then we can break apart all of the like variables for simplification:
When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:
So then we multiply all of these simplified parts together:
So now we know that the simplified form of the initial expression is: .