Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?
1 answer:
Distance traveled by Robert = 292 miles
Time taken by Robert to cover this distance = 4 hours.
Now converting miles in feet.
1 mile = 5280 feet
so, 292 feet = 292 * 5280 = 1541760 feet
Now converting 4 hours in seconds.
1 hour = 3600 seconds
so, 4 hours have 3600 * 4 = 14400 seconds.
Now the question says, we have to find the speed in feet per second
equals,
= 107.067 feet per second
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Answer:
The Slope of Line 1 is ->
The Slope of Line 2 is ->
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: ->
which equals
which simplifies to
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: ->
which equals
.
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!
Answer:
Step-by-step explanation:
- First we find the slope of the line AB passing through the point (2,0)
- line AB is perpendicular to the line
, this equation is slope intercept for, which is
so our m or slope is
- Since the slope of line AB is perpendicular to
then we use the equation
, so what do we multiply
by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
- Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
- So we make the equation
so m= -4 and our point is (-1,6)
thats the equation of line side CD