Write the equation of a circle whose center is (-9, -8) and which has a radius of 5.A. left parenthesis x plus 9 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 10B. left parenthesis x minus 9 right parenthesis squared plus left parenthesis y minus 8 right parenthesis squared equals 25C. left parenthesis x plus 9 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 5D. left parenthesis x plus 9 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 25
Question
Write the equation of a circle whose center is (-9, -8) and which has a radius of 5.A. left parenthesis x plus 9 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 10B. left parenthesis x minus 9 right parenthesis squared plus left parenthesis y minus 8 right parenthesis squared equals 25C. left parenthesis x plus 9 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 5D. left parenthesis x plus 9 right parenthesis squared plus left parenthesis y plus 8 right parenthesis squared equals 25
Solution
The equation of a circle in standard form is given by (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Given that the center of the circle is (-9, -8) and the radius is 5, we substitute these values into the equation to get:
(x - (-9))² + (y - (-8))² = 5²
Simplifying this gives:
(x + 9)² + (y + 8)² = 25
So, the correct answer is D. (x + 9)² + (y + 8)² = 25.
Similar Questions
What is the equation of a circle with center (-3, -5) and radius 4?A.(x - 3)2 + (y - 5)2 = 4B.(x - 3)2 + (y - 5)2 = 16C.(x + 3)2 + (y + 5)2 = 4D.(x + 3)2 + (y + 5)2 = 16SUBMITarrow_backPREVIOUS
Write the equation of the circle centered at (−7,10)(-7,10) with radius 8. Fully simplify the equation.
Write the equation of the circle centered at (−6,8)(-6,8) with radius 5252 .
Convert the general form equation of the circle into the standard form: x2 + y2 + 6x - 10y - 15 = 0Question 8Select one:a.(x + 3)2 + (y - 5)2 = 361b.(x + 3)2 + (y - 5)2 = 49c.(x + 3)2 + (y - 5)2 = 7d.(x + 6)2 + (y - 10)2 = 225
This circle is centered at the point (4, 5), and the length of its radius is 3. What is the equation of the circle?A.(x + 4)2 + (y + 5)2 = 3B.(x - 5)2 + (y - 4)2 = 9C.(x - 4)2 + (y - 5)2 = 9D.(x2 - 4) + (y2 - 5) = 32SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.