Write the equation of the circle with center(-3,-2) and (4,5) a point on the circle

(x + 3)^2 + (y + 2)^2 = 98.

Step-by-step explanation:

(x - h)^2 + (y - k) ^2 = r^2   ( center is (h, k) and r = radius.)

So we have:

(x + 3)^2 + (y + 2)^2 = r^2

When x = 4 y = 5, so

(4 + 3)^2 + (5 + 2)^2 = r^2

r^2 =  7^2 + 7^2 =  98

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step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify