It will take 3 hours 6 minutes 40 seconds for the cars to be 420 miles apart.
Step-by-step explanation:
Step 1; The cars are traveling in the opposite direction at different speeds. One is going north at a speed of 75 mph while the other is going 60 mph. So for every hour, the cars are traveling they increase the distance between in between themselves by 75 miles + 60 miles = 135 miles.
Step 2; Assume that in x hours the distance between them is 420 miles. To calculate x we divide the distance to be traveled by the distance being traveled every hour.
x = distance to be covered / distance being traveled every hour
= 420 / 135 = 3.11 hours
We multiply the 0.11 hours with 60 to convert it into minutes. 0.11 × 60 = 6.66 minutes and if we do the same for seconds, 0.66 minutes × 60 = 40 seconds.
Answer:
The correct answer is: p - 8 ∧ restriction p ≠ -4
Step-by-step explanation:
(p² - 4 p - 32) / ( p + 4)
The existence of this rational algebraic expression is possible only if it is:
p + 4 ≠ 0 => Restriction is p ≠ -4
(p² - 4 p - 32) / ( p + 4) = (p² - 8 p + 4 p - 32) / (p + 4) =
= (p (p -8) + 4 (p -8)) / (p + 4)= (p - 8) (p + 4) / ( p +4) = p - 8
God with you!!!
slope intercept form: y=mx+b
y=3x+4
slope is also m
b is the y-intercept
answer:
slope is 3
y-intercept is 4
Answer:
x is equal to 24 and y is equal to 66.
Step-by-step explanation:
In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.
36 + 78 + y = 180
114 + y = 180
y = 66
Now that we have that value, we can use y and the 90 degree angle to find x.
x + y + 90 = 180
x + 66 + 90 = 180
x + 156 = 180
x = 24
