Answer:
umm what or we doing?
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
Your question is incomplete, as the equations or graph or table(s) were not given.
However, I'll give a general way of solving this.
Take for instance, the equations are:
![y = \frac{4}{3}x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7Dx%20-%201)
![y = \frac{2}{3}x - \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B1%7D%7B2%7D)
To do this, we start by equating both equations.
![y = y](https://tex.z-dn.net/?f=y%20%3D%20y)
i.e.
![\frac{4}{3}x - 1= \frac{2}{3}x - \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%20-%201%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B1%7D%7B2%7D)
Collect Like Terms
![\frac{4}{3}x - \frac{2}{3}x= 1 - \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%20-%20%5Cfrac%7B2%7D%7B3%7Dx%3D%201%20-%20%5Cfrac%7B1%7D%7B2%7D)
Take LCM
![\frac{4x- 2x}{3}= \frac{2 - 1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4x-%202x%7D%7B3%7D%3D%20%5Cfrac%7B2%20-%201%7D%7B2%7D)
![\frac{2x}{3}= \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B3%7D%3D%20%5Cfrac%7B1%7D%7B2%7D)
Cross Multiply
![2x * 2 = 3 * 1](https://tex.z-dn.net/?f=2x%20%2A%202%20%3D%203%20%2A%201)
![4x = 3](https://tex.z-dn.net/?f=4x%20%3D%203)
Make x the subject
![x = \frac{3}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Substitute 3/4 for x in ![y = \frac{4}{3}x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7Dx%20-%201)
![y = \frac{4}{3} * \frac{3}{4} - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%20-%201)
![y = 1 - 1](https://tex.z-dn.net/?f=y%20%3D%201%20-%201)
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
Hence:
![(x,y) = (\frac{3}{4},0)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28%5Cfrac%7B3%7D%7B4%7D%2C0%29)
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
Answer:
(2,4)
Step-by-step explanation:
When graphed the lines intersect at point (2,4) which is the solution.
Answer:
n=21
Step-by-step explanation:
We must find n.
Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.
First lets do 5(n - 7). We get 5n - 35
Now 2(n + 14) is 2n + 28
Okay...... now we have ![5n-35=2n+28](https://tex.z-dn.net/?f=5n-35%3D2n%2B28)
Now lets do OPPOSITES!!!! We must do the opposite of each thing to both sides.
The opposite of -35 is positive 35. Lets add 35 to both sides. We get:
![5n=2n+63](https://tex.z-dn.net/?f=5n%3D2n%2B63)
Now lets do the opposite of 2n which is -2n
![3n=63](https://tex.z-dn.net/?f=3n%3D63)
this is looking quite nice isnt it..........
The opposite of 3 times n is 3 DIVIDED BY n. So lets divide both sides by 3
![n=21](https://tex.z-dn.net/?f=n%3D21)
amazing.......