Answer:
x1 = 275 miles (shorter)
x2 = 318 miles (longer)
Step-by-step explanation:
Let
x1 = be the shorter route
v1 = speed of the car in the shorter route
t1 = time it took to cover shorter route
x2 = the longer route
v2 = speed of the car in the longer route
t2 = time it took to cover longer route
x1 + 43 = x2 (1)
v2 = v1 -2 (2)
v2 = x2/t2 = x2/6
v1 = x1/t1 = x1/5
This means that
v2 = v1 -2 =>
x2/6 = x1/5 -2
The system of equations results
a. x1 -x2 = -43
b. x1/5 - x2/6 = 2
Solving this system of equations, we find that
x1 = 275 miles
x2 = 318 miles
Answer:
9) x = 89°
10) x = 118°
11) x = 145°
12) x = 40°
Step-by-step explanation:
9) 180-91 = 89
10) x = 118° because it is alternate interior to 118
11) x-30 = 115, x = 145
12) 4x-15 = 145, 4x = 160, x = 40
For this case we have that by definition, the volume of a cube is given by:

Where:
l: It's the side of the cube
According to the statement data:

Substituting in the formula we have:

Thus, the shipping cube volume is
Answer:

Answer:
22/25
Step-by-step explanation:
66/75 = 22/25
Input into equation to confirm
75 · 22/25 = 66
1650/25 = 66
66 = 66, so we're right
The graph first represents the provided piecewise function option first is correct.
<h3>What is a piecewise function?</h3>
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.



After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
brainly.com/question/12561612
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