Question

Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equation y = 0.5 x + 5 intersect the circle with radius 6 and center (0, 5)? x= y=

Name: recall the equation for a circle with center h k and radius r at what point in the first quadrant does the line with equation y 05 x 5 intersect the circle with radius 6 and center 0 5 x y
Uploaded: 2023-05-05T11:43:35-08:00
Duration: 2 min 4 s
Channel: Maria Dearborn
Description: recall the equation for a circle with center h k and radius r at what point in the first quadrant does the line with equation y 05 x 5 intersect the circle with radius 6 and center 0 5 x y

          Recall the equation for a circle with center  
(
h
,
k
)
  and radius  
r
 . At what point in the first quadrant does the line with equation  
y
=
0.5
x
+
5
  intersect the circle with radius 6 and center (0, 5)?
x=
y=

Added by Ahmad K.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Maria Dearborn

05/05/2023

Step 1

The equation for a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. In this case, the center is (0, 5) and the radius is 6, so the equation is (x - 0)^2 + (y - 5)^2 = 6^2, which simplifies to x^2 + (y - 5)^2 = 36. Show more…

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Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equation y = 0.5 x + 5 intersect the circle with radius 6 and center (0, 5)? x= y=