The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
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Answer:
-6/8
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where (X1,y1) is (-11,5) and (X2,y2) is(5,-7)
Slope=5+7/-11-5
=-12/16
= -6/8
So the slope is -6/8
Answer:
y = 3, x = 3
Step-by-step explanation:
5x – 3y = 6
5x = 6 + 3y
x = (6 + 3y)/5
3x + 4y= 21
3x = 21 - 4y
x = (21-4y)/3
Using simultaneous equations:
(21-4y)/3 = (6 + 3y)/5
--> 105-20y = 18 + 9y
29y = 87
Answer:
use two points given or use rise over run
Answer:
375 ft
Step-by-step explanation:
you just multiply it times 5
