Given
The coordinates of the points on the path are:
P(20,7), R(-4,-9), O(20, -9), S(-4, -24)
The total length of the path from P to S is:
The distance d between two points can be found using the formula:
The distance between P and R:
The distance between R and O:
The distance between O and S:
3 / 4 w + 8 = 1 / 3 w - 7
Multiply by LCD = 4 ( w + 2 )(3w - 7)
3(3w-7) = 4(w + 2)
3*3w - 3*7 = 4 * w + 4 * 2
9 w - 21 = 4 w + 8
Add 21 to both sides :
9w - 21 + 21 = 4w + 8+ 21
9w = 4w + 29
9w - 4w = 29
5 w = 29
Divide both sides by 5 :
5 w / 5 = 29 / 5
w = 29 / 5
hope this helps!
So we have the points (-5,1) for A and (0,6) for D. By using y=mx+b we can determine that y=x+6 which also can be rewritten as -x+y=6.
Answer: 33
Step-by-step explanation:
(f of g)(2) = f(g(2))
g(2) = -2(2) = -4
f(-4) = (-4)^2 - 3(-4) + 5 =
16 - - 12 + 5 =
16 + 17 =
33
