Answer:
Final answer is ![f(x)+g(x)=0.5x^2+8x^3](https://tex.z-dn.net/?f=f%28x%29%2Bg%28x%29%3D0.5x%5E2%2B8x%5E3)
Step-by-step explanation:
Given functions are
and ![g(x)=8x^3+2](https://tex.z-dn.net/?f=g%28x%29%3D8x%5E3%2B2)
Now we need to add both functions:
![f(x)+g(x)](https://tex.z-dn.net/?f=f%28x%29%2Bg%28x%29)
![=(0.5x^2-2)+(8x^3+2)](https://tex.z-dn.net/?f=%3D%280.5x%5E2-2%29%2B%288x%5E3%2B2%29)
![=0.5x^2-2+8x^3+2](https://tex.z-dn.net/?f=%3D0.5x%5E2-2%2B8x%5E3%2B2)
![=0.5x^2+8x^3-2+2](https://tex.z-dn.net/?f=%3D0.5x%5E2%2B8x%5E3-2%2B2)
combine like terms -2 and +2
![=0.5x^2+8x^3](https://tex.z-dn.net/?f=%3D0.5x%5E2%2B8x%5E3)
Hence final answer is ![f(x)+g(x)=0.5x^2+8x^3](https://tex.z-dn.net/?f=f%28x%29%2Bg%28x%29%3D0.5x%5E2%2B8x%5E3)
Answer:
1st one
Step-by-step explanation:
<span>In the function "y=x2-18x" the goal is to find the value of the letter x. We know that y equals x2-18x. First, recognize that x2 is the same thing as 2x. So changing the problem to "y=2x-18x". We can subtract 18x from 2x, which leaves us with -16x. Now the problem looks like this: y=-16x. In order to get x by itself, we will need to do the same thing to both sides of the equation. In this case, we want the answer to be x by itself, or (1x) which is the same thing. We divide both sides of the equation by (-16). We are left with the following: y/-16=x. Basically, in words, x equals y divided by negative 16.</span>
Answer:
![10 = D](https://tex.z-dn.net/?f=10%20%3D%20D)
Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2%7D%20%2B%20%7Bb%7D%5E%7B2%7D%20%3D%20%7Bc%7D%5E%7B2%7D)
![{6}^{2} + {8}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7B6%7D%5E%7B2%7D%20%2B%20%7B8%7D%5E%7B2%7D%20%3D%20%7Bc%7D%5E%7B2%7D)
![36 + 64 = {c}^{2}](https://tex.z-dn.net/?f=36%20%2B%2064%20%3D%20%7Bc%7D%5E%7B2%7D)
![100 = {c}^{2}](https://tex.z-dn.net/?f=100%20%3D%20%7Bc%7D%5E%7B2%7D)
![10 = c](https://tex.z-dn.net/?f=10%20%3D%20c)
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
_______________________________________________
Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
<em>B</em>[7, 10] <em>A</em>[13, 2]
![\sqrt{[-2 + 10]^{2} + [-13 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-2%20%2B%2010%5D%5E%7B2%7D%20%2B%20%5B-13%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{8^{2} + [-6]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B8%5E%7B2%7D%20%2B%20%5B-6%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{64 + 36} = D](https://tex.z-dn.net/?f=%5Csqrt%7B64%20%2B%2036%7D%20%3D%20D)
![\sqrt{100} = D](https://tex.z-dn.net/?f=%5Csqrt%7B100%7D%20%3D%20D)
![10 = D](https://tex.z-dn.net/?f=10%20%3D%20D)
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
Answer:
the 3rd one.
Step-by-step explanation:
i hope this helped!
p.s it would be cool if you gave me brainliest.