Is the point (-11, 2) on the circle with radius 5 and center (-7, 4)? Complete the sentences to explain.
An equation for the graph is (X
get (-4)2+(-2)2 =
circle.
Substitute (-11, 2) into the expression on the left side to
equal 25, then the point (-11, 2)
on the
Since this value

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MrRoyal MrRoyal · Answer 1 · 2022-02-24T09:46:57+01:00

The points on a circle can be determines by the equation of a circle

The point (-11,2) is not on the circle

The equation of a circle is represented as:

[tex](x-a)^2 + (y - b)^2 = r^2[/tex]

Where:

Center = (a,b)

Radius = r

The radius of the circle is 5, and the center is (-7,4).

So, we have:

[tex](x+7)^2 + (y - 4)^2 = 5^2[/tex]

The point is given as:

(x,y) = (-11,2)

So, we have:

[tex](-11+7)^2 + (2 - 4)^2 = 5^2[/tex]

Evaluate the exponents

[tex]16 + 4 = 25[/tex]

Evaluate the sum

[tex]20 = 25[/tex]

The above equation is not true.

Hence, the point (-11,2) is not on the circle

Read more about circle equations at:

https://brainly.com/question/1559324