Average time of a commuter train trip from one town to the city = 77 minutes
Time taken by 1 trip = 71 minutes
Time taken by another trip = 74 minutes
Time taken by 3rd and 4th trip each = 78 minutes
Let us assume the time taken during the 5th trip = x
Then
(71 + 74 + 78 +78 +x)/5 = 77
301 + x = 77 * 5
301 + x = 385
x = 385 - 301
= 84 minutes
So the length of the fifth trip was 84 minutes. I hope the procedure is clear enough for you to understand.
Answer:
7
Step-by-step explanation:
4b - 24 + 19 = 4b - (-24 + 19) = 4b - 5
Answer:
y=1/2x-3
Step-by-step explanation:
First, let's put the line into slope intercept form
2y+4x=12
subtract 4x from both sides
2y=-4x+12
divide by 2
y=-2x+6
the slopes of perpendicular lines are negative and reciprocal. If you multiply the slopes of the lines together, the result is -1. Therefore, to find the slope of the perpendicular line, use this formula:
-2m=-1
divide by -2
m=1/2
so the slope of the perpendicular line is 1/2
here is the new line so far:
y=1/2x+b (b is a place holder)
now, since the line passes through the point (8,1), it means that (8,1) is a solution of the line. So we can substitute it into the equation
1=1/2(8)+b
1=4+b
subtract 4 from both sides
-3=b
so the line is y=1/2x-3
Hope this helps!
Answer:
(- 3, - 13 ) and (8, 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Both equations are in vertex form
(8)
y = 5(x + 3)² - 13
with vertex = (h, k) = (- 3, - 13 )
(9)
y = (x - 8)² + 1
with vertex = (h, k) = (8, 1 )
