What is ( x + y + 2 )( y + 2 )?
2 answers:
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Answer:
Center: (4,8)
Radius: 2.5
Equation:
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;
We have been given the expression
We have the exponent rule
Using this rule, we have
Now, using the fact that , we get
D is the correct option.