A car moving at a constant speed passed a timing device at t=0. After 6 seconds, the car has
1 answer:
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Answer:
4 miles per gallon of fuel.
Step-by-step explanation:
The fuel efficiency of a car is given by the ratio of distance traveled by car to the volume of fuel used.
Now, given that Nate's car will go 20 miles on 5 gallons of fuel.
Therefore, the fuel efficiency of Nate's car will be given by the ratio
=
=
= 4 miles per gallon of fuel. (Answer)
<h2>Answer:</h2>
The Slope is
Notice that both the points, and
, are on the line. So we can use those points to calculate the slope. Recall that that slope of the line
can be calculated by
if we have the points,
and
.
Given
We can start from the given line's coefficients and translate the line from the origin to the given point.
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.