Answer:
-5/2
Step-by-step explanation:
Perpendicular slope is always the negative reciprical. This basically means the opposite sign and the nubers are flipped.
If 2x + 6y = 3 and 3x -7y =6 then it has to be 6y x 7y =13
<h3>
Answer: 40</h3>
Explanation:
Stella can move 1 box for every 4 boxes Michael moves.
She moves 10 boxes, so that must mean Michael moved 40 boxes (since 4*10 = 40).
Put another way, the ratio 1:4 bumps up to the equivalent form 10:40 after multiplying both parts by 10. The first value of each ratio is the amount of boxes Stella moves, and the second part is what Michael moves.
You could also solve it like this
1/4 = 10/x
1*x = 4*10
x = 40
In the second step, I used cross multiplication.
You basically have to take it to the power of half.
example to find the square root of 4,
take 4^0.5 = 2
hope this helped
Answer:
![P(x) = 3x - 10](https://tex.z-dn.net/?f=P%28x%29%20%3D%203x%20-%2010)
Step-by-step explanation:
Given
![R(x) = 5x](https://tex.z-dn.net/?f=R%28x%29%20%3D%205x)
![C(x) = 10 + 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D%2010%20%2B%202x)
Required
Determine ![P(x) = (R - C)(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%28R%20-%20C%29%28x%29)
In functions;
![(f - g)(x) = f(x) - g(x)](https://tex.z-dn.net/?f=%28f%20-%20g%29%28x%29%20%3D%20f%28x%29%20-%20g%28x%29)
So, we have:
![P(x) = (R - C)(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%28R%20-%20C%29%28x%29)
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
Substitute values for R(x) and C(x)
![P(x) = 5x - (10 + 2x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%205x%20-%20%2810%20%2B%202x%29)
Open bracket
![P(x) = 5x - 10 - 2x](https://tex.z-dn.net/?f=P%28x%29%20%3D%205x%20-%2010%20-%202x)
Collect Like Terms
![P(x) = 5x - 2x- 10](https://tex.z-dn.net/?f=P%28x%29%20%3D%205x%20-%202x-%2010)
![P(x) = 3x - 10](https://tex.z-dn.net/?f=P%28x%29%20%3D%203x%20-%2010)