Slope of the line = (-4 - 5) / ( 0 - - 3) = -9 / 3 = -3
Using the point (0, -4) we have that
y = -3(x - 0) - 4
y = -3x - 4
m + b = -3 + (-4) = -7
A + B + C = 180
86 + (3C + 25) + C = 180 simplify
86 + 25 + 4C = 180
111 + 4C = 180
4C = 180 - 111
C = ( 180 - 111) / 4 = 17.25°
This is a parabola....the domain is all real numbers = (-inf, + inf)
The min y value = - 3 ....the max = infinity
So....the range is [ -3, infinity )
We have three rectangles
One at the top = 13 * 12 = 156 ft^2
One in the middle = (19 + 12) * 6 = 31 * 6 = 186 ft^2
One at the bottom = 9 * 6 = 54 ft^2
Total area = ( 156 + 186 + 54) ft^2 = 396 ft^2
9% per year means that every successive year it is worth 100 - 9 = 91% of what it was the previous year
And 2010 - 2002 = 8 years
So
24500 (.91)^8 ≈ $11521
One rectangle at the top = 25 * 23 = 575 ft^2
One rectangle at the bottom = 13 * 7 = 91 ft^2
Middle rectangle = ( 25 - 6) * ( 17) = 19 * 17 = 323 ft^2
Total area = ( 575 + 91 + 323 ) ft^2 = = 989 ft^2
a + n = c/n b - n = c/n
a = c/n - n b = c/n + n
a + b + c = 19 * 97
c/n - n + c/n + n + c = 19 * 97
2c/n + c = 1843
2c + cn = 1843n
c ( 2 + n) = 1843n
c = 1843n / ( 2 + n)
When n = 17, c = 1649
a = c/n - n = 1649/17 - 17 = 97 - 17 = 80
b= c/n + n = 1649/17 + 17 = 97 + 17 = 114
a + b + c = 80 + 114 + 1649 = 97 * 19 = 1843
Let the other endpoint be ( x, y)
And we have that
(9 + x) / 2 = 5 ( 7 + y) / 2 = -11
9 + x = 5*2 7 + y = -11*2
9 + x =10 7 + y = -22
x = 10 -9 = 1 y = -22 - 7 = -29
(x, y ) = ( 1, -29)
Midpoint of PQ = [ (9 + 7) / 2, (6+ 9) /2 ] = (8, 15/2) = ( 8, 7.5)
Coordinates of B = (x, y)....so.....
(3 + x) / 2 = 8 (2 + y) / 2 = 7.5
3 + x = 8*2 2 + y= 7.5*2
3 + x =16 2 + y= 15
x = 13 y = 13
B = (13, 13)
Nice work, skylersnoop !!!
