Answer:
C. 225 km3
Step-by-step explanation:
In the given question, all the necessary information's are already provided. Using these information's it is easy to find the average speed of the car in miles per hour. It is given that the car covers 10 laps in 18 minutes and each lap is 3.6 miles in length.
Total distance covered by the car = (10 * 3.6) miles
= 36 miles
Now we have to convert the time from minutes to hours. So
18 minutes = 18/60 hours
= 3/10 hours
Now we can easily calculate the average speed of the favorite car of Mathew.
Average Speed = 36 * (10/3) miles/hour
= 120 miles/ hour
Answer:
the slope is 1/2
Work:
if the x-coordinate is two times the y-coordinate, that means you are going up one over two each time
slope= y2-y1/x2-x1
so you can pick two points, like (2, 1) and (4,2) and use the formula
slope= 2-1/4-2= 1/2
Use the equation for volume of a pyramid (base x width x height)
The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.
Finding slope:
slope=change in y/change in x (y2-y1/x2-x1)
slope=-3-(-8)/-4-(-1)=5/-3=-5/3
Finding y-intercept:
y=mx+b
-8=-5/3(-1)+b
b=-9 2/3
y intercept: (0,-9 2/3)
Equation: y=-5/3x-9 2/3
Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation.
0=-5/3x-9 2/3
x=29/3x(-3/5)
x=-29/5
x intercept: (-29/5,0)
answers: (0,-9 2/3) and (-29/5,0)
