Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Help! Hurry! NO SPAM!!!! I will mark brainliest if you get it correct, and show your work. Identify the equation for the circle with center (3, 7) that contains the point (9, 11).

Sagot :

Choncc

First we compute the distance between the center and the given point which is exactly the radius

r =

[tex] \sqrt{(x2 - x1) + (y2 - y1)} = \sqrt{9 - 3 + 11 - 7} = \sqrt{10} [/tex]

Now that we know the center and the radius, we can write the equation of a circle with given radius and center:

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

where (h,k) represent the coordinates of the center (3,7).

We substitute and obtain

[tex] {(x - 3)}^{2} + {(y - 7)}^{2} = { \sqrt{10} }^{2} \\ {(x - 3)}^{2} + {(y - 7)}^{2} = 10 \\ {x}^{2} - 6x + 9 + {y}^{2} - 14y + 49 = 10 \\ {x}^{2} + {y}^{2} - 6x - 14y + 48 = 0[/tex]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.