Question 4: a ray is formed by an endpoint and a line starting at the endpoint and going on forever in one direction
We cannot see angle MBW to be able to classify it
1. Add -4.5 to 18.5
2. Divide 23 by 7
3. Then subtract 6 from -2.7
Answer:
C
Step-by-step explanation:
the equation of the parabola is : y = x² - 3x
the equation of the line is y = x + 1
and the shaded area is between those graphs
therefore y ≥ x² - 3x and y ≤ x + 1
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.
Answer:
The length of the model is 21 inches
Step-by-step explanation:
we have
The scale factor

That means
1 unit in the model represent 12 units in the actual
1 inch in the model represent 12 inches in the actual
Remember that

so
1 inch in the model represent 1 ft in the actual
The scale factor is

therefore
21 ft in the actual represent 21 inches in the model