Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Sure, let's write the standard equation of a circle with the given center [tex]\((-4, -1)\)[/tex] and radius 12 units.
The standard form of the equation of a circle with center [tex]\((h, k)\)[/tex] and radius [tex]\(r\)[/tex] is given by:
[tex]\[ (x - h)^2 + (y - k)^2 = r^2 \][/tex]
In this case, the center [tex]\((h, k)\)[/tex] is [tex]\((-4, -1)\)[/tex], and the radius [tex]\(r\)[/tex] is 12 units. Substituting these values into the standard form equation, we get:
[tex]\[ (x - (-4))^2 + (y - (-1))^2 = 12^2 \][/tex]
Simplifying the equation:
[tex]\[ (x + 4)^2 + (y + 1)^2 = 144 \][/tex]
So, the standard equation of the circle with center [tex]\((-4, -1)\)[/tex] and radius 12 units is:
[tex]\[ (x + 4)^2 + (y + 1)^2 = 144 \][/tex]
The standard form of the equation of a circle with center [tex]\((h, k)\)[/tex] and radius [tex]\(r\)[/tex] is given by:
[tex]\[ (x - h)^2 + (y - k)^2 = r^2 \][/tex]
In this case, the center [tex]\((h, k)\)[/tex] is [tex]\((-4, -1)\)[/tex], and the radius [tex]\(r\)[/tex] is 12 units. Substituting these values into the standard form equation, we get:
[tex]\[ (x - (-4))^2 + (y - (-1))^2 = 12^2 \][/tex]
Simplifying the equation:
[tex]\[ (x + 4)^2 + (y + 1)^2 = 144 \][/tex]
So, the standard equation of the circle with center [tex]\((-4, -1)\)[/tex] and radius 12 units is:
[tex]\[ (x + 4)^2 + (y + 1)^2 = 144 \][/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.