RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3
The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)
Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
Answer: (a)
Step-by-step explanation:
Suppose the original function is 
To shift it 2 units right, replace x by x-2 such that
So, the function becomes 
Answer:
Step-by-step explanation:
The total length of triangle is 40 in. The length of the right triangle is the total length divided by 2 which 40/2 = 20.
We have 2 right triangles. We can use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + 20^2 = 25^2
x^2 + 400 = 625
- 400 - 400
x^2 = 225
x = 15
