Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
The number ... n
one quarter of the number ... 1/4 of n = 1/4 * n
one third of the number ... 1/3 of n = 1/3 * n
one quarter of the number is subtracted from one third of the number ... 1/3 * n - 1/4 * n
the result is 7 ... = 7
We can put it together:
1/3 * n - 1/4 * n = 7
4/12 * n - 3/12 * n = 7
1/12 * n = 7 /*12
n = 7 * 12
n = 84
The number you are looking for is 84.
Steps to solve:
8j - k + 14; j = 0.25 and k = 1
~Substitute
8(0.25) - (1) + 14
~Simplify
2 - 1 + 14
~Subtract
1 + 14
~Add
15
Best of Luck!
350 people must attend each night to break even.
Hope this helps :)
Work shown in the image.
1 hour = 60 min
0.5 hours = 60 * 0.5 = 30 min.
