A circle has a radius of 18 and a center at (10,-9). Find the equation of the circle.

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

(x-10)²+(y+9)²= 324.

Step-by-step explanation:

For this question, you will need to substitute these values into the equation of a circle:

(x-h)²+(y-k)²= r²

'h and k' represent the center points, and 'r' represents the radius.

This will result in:

(x-10)²+(y+9)²=324.

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SVEN [57.7K]

If x + y = 6, then solve for y to get: y = 6 - x.

Now replace y with 6 - x in both equations.

(5x)/3 + 6 - x = c

2(6 - x) = c - 4x

The upper equation is solved for c.
Now we solve the lower equation for c.

c = 2(6 - x) + 4x

c = 12 - 2x + 4x

c = 2x + 12

Since we have two equations solved for c, we substitute to get

(5x)/3 + 6 - x = 2x + 12

This is an equation in only x, so we can solve for x.

(5x)/3 - 3x = 6

5x - 9x = 18

-4x = 18

x = -9/2

Now we solve for y.

x + y = 6

-9/2 + y = 6

y = 9/2 + 12/2

y = 21/2

Now we solve for c.

c = (5x)/3 + y

c = (5 * (-9/2))/3 + 21/2

c = -45/6 + 21/2

c = -15/2 + 21/2

c = 6/2

c = 3

Answer: c = 3

7 0

3 years ago

With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hour

Monica [59]

1/9 + 1/2 = 1/x

Let x = length of time it will take both hoses to work together

Multiply both sides by 18x.

2x + 9x = 18

10x = 18

x = 18/10

x = 9/5

x = 1.8 hours