Answer:
(x +3)^2 + (y -3)^2 = 3^2
Step-by-step explanation:
Your first task is to find the center.
The longest possible line of the circle goes from (-3,0) to (-3,6)
So the center is at the midpoint of these two points.
The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)
That gives you the center of the circle.
So far what you have is
(x +3)^2 + (y -3)^2 = r^2
Now the distance of the center to the bottom point is (-3,3) to (-3,0)
r^2 = (x2 - x1)^2 + (y2 - y1)^2
x2 = - 3
x1 = - 3
y2 = 3
y1 = 0
r^2 = (-3 - -3)^2 + (3 - 0)^2
r^2 = 3^2
The entire answer is
(x +3)^2 + (y -3)^2 = 3^2
Answer:
549,000
Step-by-step explanation:
Answer:
75 units²
Step-by-step explanation:
Bigger rectangle: length * width
: 10 * 9
: 90 units²
smaller rectangle: length * width
: 3 * 5
: 15 units²
Shaded region = Bigger rectangle - smaller rectangle
= 90 units² - 15 units²
= 75 units²
Answer:
n has to be greater than or equal to -5.
The numbers -5,-4,-3,-2,-1,0,1....... work for that inequality
Step-by-step explanation:
First number is 5.
second is 5 + (4 * 2) = 5 + 8 = 13
third is 5 + (4 * 2) * (4 * 3) = 5 + 8 + 12 = 25
fourth is 5 + (4 * 2) * (4 * 3) + (4 * 4) = 5 + 8 + 12 + 16 = 41
fifth is 5 + (4 * 2) * (4 * 3) + (4 * 4) + (4 * 5) = 5 + 8 + 12 + 16 + 20 = 61
sixth is 5 + (4 * 2) * (4 * 3) + (4 * 4) + (4 * 5) + (4 * 6) = 5 + 8 + 12 + 16 + 20 + 24 = 85
So missing number is 41
