Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Find the circle center and it’s radius :

[tex][tex]\[
(x + 4)^2 + y^2 = 16
\][/tex][/tex]

Sagot :

Answer:

The circle's center is at (-4,0) and has a radius of 4.

Step-by-step explanation:

The Circle Equation

Recall the format of the equation of a circle,

                                [tex](x-h)^2+(y-k)^2=r^2[/tex],

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

Apply the Circle Equation

We're given the equation,

                                    [tex](x+4)^2+y^2=16[/tex].

Since there is no integer after the y squared term, k must be 0 so, the center is at (-4, 0).

Since 16 is the radius' value squared, taking the square root of 16 will give us the length of the circle's radius or 4.

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.