Write an equation for the circle with center(-1,-5) and radius 4sqrt3

(x + 1)² + (y + 5)² = 48

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 1, - 5) and r = 4, so

(x - (- 1))² + (y - (- 5))² = (4 )², that is

(x + 1)² + (y + 5)² = 48 ← equation of circle

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3