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2 years ago

Write an equation of a circle given the center (-4,4) and radius r=5

Mathematics

1 answer:

Irina-Kira [14]2 years ago

8 0

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r² where (h,k) is the center.

Center( -4 , 4) and r = 5

(x -[-4])² + (y - 4)²= 5²

(x + 4)² + (y-4)² = 25

x² + 2*4*x +4² + y² - 2*y*4 + 4² = 25

x² +8x + 16 + y² - 8y + 16 = 25

x² + 8x + y² - 8y + 16 + 16 -25 = 0

x² + 8x + y² - 8y +7 = 0

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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oksian1 [2.3K]

Answer:

Coordinates of point P is $(-14,3)$ .

Step-by-step explanation:

Given that mid point of line segment $\overline {PQ}$ is at M(-9, 8.5).

Q is at (-4, 14).

Let coordinate of P be $(x,y)$ .

Using the ratio, we can say the following:

The coordinates of mid point $(X,Y)$ of a line with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$X=\dfrac{(x_1+ x_2)}{2}$

$Y=\dfrac{(y_1+ y_2)}{2}$

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3 years ago