What is the answer to this problom
1 answer:
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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.
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.
Answer:
p = , q = 9
Step-by-step explanation:
4x² + 12x ( factor out 4 from each term )
= 4(x² + 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 3x
= 4(x² + 2( )x +
-
)
= 4(x + )² - 4 ×
= 4(x + )² - 9
To find the diameter, divide the area(254.34) by pi(3.1415) and then square the quotient
That is the radius now just times that by 2 so 2 x 8.99 = 17.98
Now I have a felling the might be wanting 18 because 8.99 is so close to 9 and this is also true for 80.95. They probably want 80.95 = 81, which the square root of that is 9, which is the radius and if you times that by 2 the diameter would equal 18
That is the radius now just times that by 2 so 2 x 8.99 = 17.98
Now I have a felling the might be wanting 18 because 8.99 is so close to 9 and this is also true for 80.95. They probably want 80.95 = 81, which the square root of that is 9, which is the radius and if you times that by 2 the diameter would equal 18