Answer:
Inverse of
Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
which is the inverse
Two tracking stations are on the equator 158 miles apart. A weather balloon is located on a bearing of N42°E from the western st
ation and on a bearing of N14°W from the eastern station. To the nearest tenth of a mile, how far is the balloon from the western station? *
2 answers:
Answer:
199.38
Step-by-step explanation:
To better understand the problem I leave an associated graph.
We must calculate the distance of AC, we know AB
AB = 158 miles.
Now we will apply the law of sine where:
AB / sin (° ACB) = AC / sin (° ABC)
We know the ° ABC = 14 °, the statement gives us the ° CAB = 90 ° - 38 ° = 52 °
Now assuming that within a triangle all the angles must add up to 180 °, then
° ACB = 180 ° - 52 ° - 14 ° = 114 °
Solving for AC:
AC = (AB * sin (° ABC)) / sin (° ACB)
AC = (158 * sin (14 °)) / sin (114 °)
AC = 199.38
Therefore the distance between the balloon from the western station is 199.38 miles
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Answer:
B, D, D, B, C
Step-by-step explanation:
1) The part of the equation that tells us the graph would open downward would be B, the negative coefficient of .
We know this because, if we reorganize the equation into the standard form y = mx + b, we get y = -(x²) + 1. This means that for any value we substitute for x, y will always be negative. The answer is B.
2) To find the zeroes of this function, we just have to see which answer makes the function, well, zero.
We have the equation y = (-16t - 2) (t - 1)
We set the equation equal to zero like this:
0 = (-16t - 2) (t - 1)
We also know that anything multiplied <em>by</em> zero will <em>equal</em> zero, so:
0 = (-16t - 2) and 0 = (t - 1)
Now we just solve for t in both equations:
0 = -16t - 2
-16t = 2
t = 2/-16 or -1/8
0 = t - 1
t = 1
So our answer will be D.
3) This time, we are given the same equation but the variable t represents time and y represents the height.
The zeroes are when y = 0, so the zeroes (which are 1 and -1/8 from the last problem) mean that the height is also at zero (which is the ground).
Furthermore, time cannot be negative, so the correct answer choice would be D.
4) We are given the same equation and story problem, but instead we are asked to find the height when the ball was thrown. In other words, we need to find the y-intercept.
The y-intercept is when t = 0, so:
y = (-16t - 2) (t - 1)
y = (-16(0) - 2) (0 - 1)
y = (-2) (-1)
y = 2
So, the correct answer is B, 2 feet.
5) This problem is a simple theoretical question. We know that the constant c will represent the vertical translation or y-intercept, so the correct answer is C.