SOLUTION: write the standard form of the equation of the circle that is tangent to the line x=3 and has center at (-2,-7) a)(x-2)^2 + (y+7)^2 =25 b)(x-2)^2 + (y+7)^2 =5 c)(x-2)^2 + (y+7

Question 216633: write the standard form of the equation of the circle that is tangent to the line x=3 and has center at (-2,-7)
a)(x-2)^2 + (y+7)^2 =25
b)(x-2)^2 + (y+7)^2 =5
c)(x-2)^2 + (y+7)^2 =16
d)(x+2)^2 + (y-7)^2 =25
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
basic form of the circle eqn is, (x-h)^2 +(y-k)^2 = r^2,,,,with r =radius, (h,k) as center,,,,,note (plus and minus signs)
.
Radius is found from horizontal distance from center to x=3 line
.
radius is ( 3 - (-2) ) = 5
.
(h,k) = (-2,-7),,,or h=(-2),,,and k=(-7)
.
subst in basic form
.
{x-(-2)}^2 + {y-(-7)}^2 =(5)^2
.
{x+2)^2 + {y+7}^2 =25,,,,,which does not match any of the given answers
.
pls check answer d for signs
.

RELATED QUESTIONS
Write the standard form of the equations of the circle that is tangent to the line x=3... (answered by jim_thompson5910,Fombitz)

write the standard form of the equation of the circle that is tangent to x= -2 and has... (answered by RAY100)

Find the equation of the circle tangent to the line 5x + y = 3 at the point (2, -7) and... (answered by Alan3354,Edwin McCravy)

Write an equation of a circle that is tangent to the y-axis and has its center at... (answered by macston)

Write the standard form of the equation of the circle that is tangent to the y-axis and... (answered by josgarithmetic)

Write the standard form of the equation of the circle that is tangent to the y-axis and... (answered by ikleyn)

1.) the circle is tangent to the line y=3-5x at the point (2,-7) whose center is on the (answered by greenestamps)

The circle is tangent to the line 5x+y=3 at the point (2,-7) and center is on the line... (answered by greenestamps)

Find the standard form of the equation of the circle having the following properties.... (answered by ikleyn)