If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
The x coordinate of J is -7. The x coordinate of K is 13. The x coordinates add up to -7+13 = 6. Divide this result in half to get 6/2 = 3. Therefore, the midpoint has an x coordinate of 3.
The y coordinate of J is -1. The y coordinate of K is -6. The y coordinates add up to -1+(-6) = -7. Divide this result in half to get -7/2. Therefore, the midpoint has a y coordinate of -7/2.
This is why the final answer is choice D) (3, -7/2)
Answer:
30 square feet
Step-by-step explanation:
To find the area of a right triangle you use the formula (leg x leg)/2. So to find the area, first you need to have both of the leg measurements, so you need to use Pythagorean's theorem. After using the theorem, you get 12 feet for the measurement of the other leg, so you multiply 12 by 5. 12 times 5 is 60, so you divide that by 2 (as seen in the original formula) and get your answer of 30.
The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.
<h3>What is an exponential function?</h3>
An exponential function is a function that is in the form: m = ab^x
Where:
- a = initial value
- b = rate of increase
- x = number of years
F(x) = 3^x
3^2 = 9
To learn more about exponential functions, please check: brainly.com/question/26331578
Answer:
5cm
Step-by-step explanation:
Area of triangle = 1/2bh
1/2bh = 15
bh = 15 X 2 = 30
h = 6 (given)
b X 6 = 30
6b = 30
b = 30/6
base = 5cm
