Answer:
y = -(5/4)x - (1 3/4)
Step-by-step explanation:
A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation. This means we can write:
y = -(5/4)x + b
As klong a b is not -6, the line will be parallel. But we are told that point (5,-8) must be on the new line. That means we need to select a value of b to make that happen. By shifting b, we can move the straight line up or down. To move it so that it goes through (5,8), enter that point in the equation and solve for b:
y = -(5/4)x + b
-8 = -(5/4)*5 + b for (5,-8)
-8 = -(25/4) + b
b = -8 + (25/4)
b = -(32/4)+(25/4)
b = -(7/4) or - 1 3/4
The parallel line that goes through (5,-8) is y = -(5/4)x - 2
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding :
Answer:
Step-by-step explanation:
First, you have to substitute both functions into the equation to get:
Then, you distribute the negative sign in front of g(x) to get:
And finally, you add/subtract the x's that have the same power to get: