Area of triangle = 1/2 x base x height
Let the base be "b"
90 = 1/2 x 10 x b
90 = 5b
b = 18 ft
Base = 18 ft
Answer:
x=4
Step-by-step explanation:
3x-3=9
+3=+3
3x=12
3x=12
divide both sides by 3
leaving x by itself
12/3=4
x=4
Let the reduced price be x
If he paid for 6 rounds, he paid 1 round at full price of $19 and 5 rounds at reduced price:
19 + 5x = 59
5x = 59 - 19
5x = 40
x = 40 ÷ 5
x = 8
The reduced price is at $8 per round.
Answer:
b=4
Step-by-step explanation:
So, we have the function
. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

Now, cross multiply.


Solve for b. Factor using the numbers -4 and -2.

Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.