Answer:
Oh okay then so the answer is 38.
f(x) = -2x + 1 works with (-1, 3)
f(x) = -2x^2 - 4x + 1 works with (0,1)
f(x) = 2sqrt(x + 2) + 1 works with (2, 5)
In order to find each of these, you need to try the ordered pairs in the equation and look for them to come out as true statements. Below is the work of trying each one.
(-1, 3)
f(x) = -2x + 1
3 = -2(-1) + 1
3 = 2 + 1
3 = 3 (TRUE)
(0,1)
f(x) = -2x^2 - 4x + 1
1 = -2(0)^2 - 4(0) + 1
1 = 0 + 0 + 1
1 = 1 (TRUE)
(2, 5)
f(x) = 2sqrt(x + 2) + 1
5 = 2sqrt(2 + 2) + 1
5 = 2sqrt(4) + 1
5 = 2(2) + 1
5 = 4 + 1
5 = 5 (TRUE)
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters