A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.
Let x be the speed of the car
Car trip from New York to Cincinnati
We know Distance D = speed * time
time = 12.5 hours and speed =x
D = 12.5x
Return trip
The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours
he average rate of speed was 4 mph less. So speed is x-4
Distance D = speed * time
time = 13.5 hours and speed =x-4
D = (x-4)*13.5
D= 13.5x-54
The distance of ongoing trip and return trip are same
So we equate both the distance equations D= 13.5x-54 and D= 12.5x
12.5x = 13.5x-54
Subtract 13.5 on both sides
-1x = -54
x=54
speed of ongoing trip = 54 miles per hour
Distance D = 12.5x = 12.5 * 54=675 miles
The length of the route = 675 miles
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Solve the trigonometric equation:

Make a substitution:

and the equation becomes

Rewrite conveniently
– t as
+ t – 2t, and then factor the left-hand side by grouping:

Factor out
2t + 1:

Substitute back for
t = cos x:

Therefore,

where
k is an integer.
Solution set:

I hope this helps. =)
Answer:
1. Three collinear points are R, X, and Q
2. Plane V is a quadrilateral
3. The three segments are PQ, RX, and XQ
4. The two rays are Xr and QS
5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ
Step-by-step explanation:
1. Collinear points are points that lie in or can be located on the same line
2) A quadrilateral is a four sided two-dimensional shape
3) A line segment is a line portion between two end points
4) A ray is a line with one end point that extends to infinity in a direction
5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.
First part
option 2 p=KB
second part
p=$155,000k
or we can also find the value of k first
then the answer will be different :/