Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour
1 answer:
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Part A
We have
. To solve for the x-intercept, we set f(x) equal to 0. That is
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
.
Factor out -2
Complete the square
Simplify
Part C
We have
.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
We have
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
Factor out -2
Complete the square
Simplify
Part C
We have
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
Answer:
5.24 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2πr ×
= 2π × 5 ×
= ≈ 5.24 in (2 dec. places )
Answer:
The triangle does not exist because sin(A)/a can not be equal to sin(B)/b
Step-by-step explanation:
we know that
step 1
Find the measure of angle B
Applying the law of sines
we have
substitute
Remember that the value of sine can not be greater than 1
therefore
The triangle does not exist because sin(A)/a can not be equal to sin(B)/b