Answer:
5 hours and 48 minutes
Step-by-step explanation:
The equation for finding average speed is:
Let x represent the distance for both the journey from Riley's college to home and back. We can use one variable to represent this because both distances are the same.
We also know that the total round trip took 12 hours. Let y represent the time it took for Riley to drive from college to home. Therefore the time it takes for Riley to drive from home to college is 12 - y.
Using this information, we can set up a system of equations.
<h3>Setting up a System of Equations</h3>
Multiply both sides of the first equation by "y" and both sides of the second equation by "12 - y".
Since both 65.1y and 835.2-69.6y are equivalent to x, we can set them equal to each other.
Now, we have to solve the equation for time or "y".
<h3>Solving for Time</h3>
Add 69.6y to both sides
Divide both sides by 134.7
This is the time it took for Riley to drive from college to home, therefore the time it took for Riley to drive from home back to college is:
5 hours and 48 minutes
The answer is E. The average rate of change of a function is f(b) - f(a) divided by (b - a). if you use the interval from answer E, you get f(1)-f(-5)divided by (1+5). plugging those numbers into the equation gets you to 4-16/6 which is -12/6 which equals -2
If we are given or come up with a statement of 4 = 4, then the equation is true, This is because the left hand side and the right hand side are equal. Solving <span>y − 2x = 11 and y + 2x = 9, we just add the two equations to yield 2y = 20 or y equal to 10. x is equal to -1/2. The coordinates are (-1/2, 10)</span>
Y = 3x - 3. The slope here is 3. A perpendicular line will have a negative reciprocal slope. This can be found by " flipping " the slope and changing the sign......3 or 3/1...." flip " ...becomes 1/3...change the sign...becomes -1/3. So ur perpendicular line will need a slope of -1/3.
y = mx + b
slope(m) = -1/3
(-7,9)...x = -7 and y = 9
now we sub and find b, the y int
9 = -1/3(-7) + b
9 = 7/3 + b
9 - 7/3 = b
27/3 - 7/3 = b
20/3 = b
so ur perpendicular line containing the brace is : y = -1/3x + 20/3