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Reika [66]
3 years ago
10

Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

The answer to your question is      (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

                     x²  +  14x  +  y²  - 10y   =  14

Complete perfect trinomial squares

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

                     x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

                     (x + 7)² + (y - 5)² = 88   This is the equation in the form

                     center-radius

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<span> y=-6(2.5-x)(x-5.5) = -6(2.5x -13.75 -x² +5.5x)
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