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
9514 1404 393
Answer:
25
Step-by-step explanation:
Inverse variation means ...
y = k/x
For the given values, we can find k to be ...
k = xy = (5)(10) = 50
Then for x=2, we have ...
y = 50/x
y = 50/2
y = 25 . . . when x=2
The expression "x is less than or equal to zero" can be written in several forms; some examples, however, could be:
x ≤ 0
0 ≥ x
(You could substitute any number in place of 3 for the below)
3 - 3 ≥ x
Answer:
(18x13)-8+1387-(5,800,732,812x65)= -377047631167
Step-by-step explanation:
Answer:
The numbers are 39 and 14.
Step-by-step explanation:
Equation 1, sum of the numbers:
x + y = 53
Equation 2, difference of the numbers:
x - y = 25
System of equations:
x + y = 53
x - y = 25
----------------
2x = 78
x = 39
Solve for y:
39 + y = 53
y = 14
The numbers are 39 and 14.
