21/9 + 74/9 = (21 + 74)/9 = 95/9 = 10 5/9
Answer:
shorter leg = 21 ft
longer leg = 28 ft
hypotenuse = 35 ft
Step-by-step explanation:
Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"
Then we have the following two equations:
a = b - 7
h = b + 7
And we can use the Pythagorean theorem to relate all three sides of the triangle:
![h^2=a^2+b^2\\(b+7)^2=(b-7)^2+b^2\\b^2+14b +49=b^2-14b+49+b^2\\0=b^2-28b\\0=b*(b-28)](https://tex.z-dn.net/?f=h%5E2%3Da%5E2%2Bb%5E2%5C%5C%28b%2B7%29%5E2%3D%28b-7%29%5E2%2Bb%5E2%5C%5Cb%5E2%2B14b%20%2B49%3Db%5E2-14b%2B49%2Bb%5E2%5C%5C0%3Db%5E2-28b%5C%5C0%3Db%2A%28b-28%29)
Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.
So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft
Then hypotenuse = 28 + 7 = 35 ft
and the shorter leg = 28 - 7 = 21 ft
Answer:
(D) 6
Step-by-step explanation:
We can substitute the values of a (7) and b (-4) into the equation to find it's result.
![\frac{|2a| -b}{3} \\\\\\\frac{|2\cdot7|-(-4)}{3}\\\\\frac{|14|+4}{3}\\\\\frac{14+4}{3}\\\\\frac{18}{3}\\\\ 6](https://tex.z-dn.net/?f=%5Cfrac%7B%7C2a%7C%20-b%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%5Cfrac%7B%7C2%5Ccdot7%7C-%28-4%29%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B%7C14%7C%2B4%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B14%2B4%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B18%7D%7B3%7D%5C%5C%5C%5C%206)
So 6 is the value of this expression when a is 7 and b is -4.
Hope this helped!
Is there a problem associated with this?
Answer:
f(x) = -1.25(x) + 64
Step-by-step explanation:
Total = $80
Remove $4 + $12 = [$16] for food and entry which leaves us with $64.
For every ride, your friend would spend $1.25 which means that for every ride, you will subtract $1.25 from 64.
f(x) = 64 - 1.25(x) which is also f(x) = -1.25(x) + 64