In the xy-plane above, the circle has center (h, k) and radius 10. what is the value of k?

k = +/- 6

Step-by-step explanation:

In the XY-Plane above, the circle has center (h,k) and radius 10. What is the value of k?

The concluding part of this question will be

Two coordinates are given, (4,0) and (20,0)

equation of a circle

(

We can then have two equations of the circle and solve simultaneously

( .............................1

( ......................................2

combining the two equation to solve

(20-h)^2 - (4-h)^2 = 0

20^2 - 40h +h^2 -4^2 + 8h -h^2 = 0

20^2 - 42 = 32h

h = 12

(4-12)^2 + (-k)^2 = 100

k^2 = 36

k = +/- 6

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1