What is the standard form of the equation of the circle x^2 - 2x + y^2 - 8y + 8 = 0?

Step-by-step explanation:

Begin by grouping the x terms and the y terms together and separating the constants out.

Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:

Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:

This is a circle with a center of (1, 4) and a radius of 3.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

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