Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Pq= 10.5, qr=31.5, rs=10.5, sp=31.5
Actually, bot are equal. Because 3 feet make a yard and there 2 yard so 6 feet made 2 yards.
To find the area of an object you have to knoe what the base and the hieght.
okay so me know that the base=24 in
and we know that the hieght=4
now all you have to do is multiply 24 by 4
and your answer will be 96