The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
Answer:
D.
Step-by-step explanation:
In order to eliminate, the numbers must eliminate. If the second equation is multiplied by 3, then the 3 and the -3 can be eliminated. Since it is multiple choice, we can plug in x = 12 and y = 10 to see if they are correct. 12 + 30 = 42 and 24 - 10 = 14, so D is correct.
Answer:
the slope is 9 and the y-int. is -8
Step-by-step explanation:
Answer:
The height of the triangle is
cm.
Step-by-step explanation:
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The formula for solving the area of a triangle is
where
stands for base and
stands for height.
Let's substitute 30
for the area and 10 for the base.
![30=\frac{1}{2} (10)h](https://tex.z-dn.net/?f=30%3D%5Cfrac%7B1%7D%7B2%7D%20%2810%29h)
-------------------->>>>
Now, let's solve to find the height.
![30=\frac{1}{2}(10)h](https://tex.z-dn.net/?f=30%3D%5Cfrac%7B1%7D%7B2%7D%2810%29h)
Multiply
times ![10](https://tex.z-dn.net/?f=10)
![30=5h](https://tex.z-dn.net/?f=30%3D5h)
Divide both sides by 5.
![6=h](https://tex.z-dn.net/?f=6%3Dh)
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Hope this is helpful.