Answer:
![\displaystyle \frac{1}{3} h(-8) = 37](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B3%7D%20h%28-8%29%20%3D%2037)
Step-by-step explanation:
Hi there!
![h(x) = x^2-5x + 7](https://tex.z-dn.net/?f=h%28x%29%20%3D%20x%5E2-5x%20%2B%207)
First, find h(-8) by replacing all of
with -8:
![h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111](https://tex.z-dn.net/?f=h%28-8%29%20%3D%20%28-8%29%5E2-5%28-8%29%20%2B%207%5C%5Ch%28-8%29%20%3D%2064%2B40%20%2B%207%5C%5Ch%28-8%29%20%3D%20111)
Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:
![\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B3%7D%20h%28-8%29%20%3D%20111%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B3%7D%20h%28-8%29%20%3D%2037)
I hope this helps!
Answer:
-5x
Step-by-step explanation:
Remember, if you multiply a negative number by a negative number, you will get a positive number, and positive numbers are greater than negative numbers. In this case, if I were to multiply each of these expressions with -1, I would get the following:
7(-1)+4=-3
-1-4=-5
5(-1)=-5
-5(-1)=5
And I'm sure you can imply how these values will correspond to other negative values. Basically, the last expression gives us a positive answer, which is larger than the others (which give a negative answer).
Answer : acute
Right triangle : a^2+b^2=c^2
Acute triangle : a^2+b^2 > c^2
Obtuse triangle:a^2+b^2 < c^2
6^2+7^2 > 9^2
Answer:
to graph an inequality you need a variable. please rewrite your question.
Answer:
46°
Step-by-step explanation:
Since the 3 sides are given we can use any of the 3 trig. ratios to solve.
Using the tangent ratio in the right triangle
tan ? =
=
, thus
? =
(
) ≈ 46° ( to the nearest degree )