Write an equation to f the circle with the center (-5,7) and a radius of 3

Equation of a circle: (x - h)² + (y - k)² = r²

(h, k) = center

r = radius

We have the following values:

(-5, 7) = center (h, k)

3 = radius (r)

~Substitute with the given values

(x - (-5))² + (y - (7))² = (3)²

~Simplify

(x + 5)² + (y - 7)² = 9

(x + 5)² + (y - 7)² = 9

Best of Luck!

Explanation: The formula for the equation of a circle is shown below.

(x - h)² + (y - k)² = r²

In the equation above, (h, k) is the center the circle and r is the radius.

Since we are given that the center is (-5, 7) which represents (h, k) and the radius is 3 which represents r, we simply plug these values into the formula and we have [x - (-5)]² + [y - (7)]² = (3)².

Notice that I changed the parentheses that were in the original formula to brackets so that we wouldn't have too many sets of parentheses when plugging our values into the formula.

Finally, we simplify inside the brackets.

[x - (-5)] simplifies to [x + 5].

So we have (x + 5)² + (y - 7)² = 9.

Notice that I changed the brackets back to

parentheses in the final answer.

we need more info to solve this

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk