What is the equation for a circle given it’s center is at (4, -1) and it’s radius is 5

(x-4)^2 + (y+1) ^2 = 25

Step-by-step explanation:

We can write the equation for a circle

(x-h)^2 + (y-k) ^2 = r^2

Where (h,k) is the center and r is the radius

(x-4)^2 + (y- -1) ^2 = 5^2

(x-4)^2 + (y+1) ^2 = 5^2

(x-4)^2 + (y+1) ^2 = 25

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

the bolded word " farsighted" could be replaced with visionary.