Answer:
![x = 1/2y + 3/4x - m](https://tex.z-dn.net/?f=x%20%3D%201%2F2y%20%2B%203%2F4x%20-%20m)
Step-by-step explanation:
<u>Step 1: Distribute
</u>
<u />![4(x + m) = 2y + 3x](https://tex.z-dn.net/?f=4%28x%20%2B%20m%29%20%3D%202y%20%2B%203x)
![4x + 4m = 2y + 3x](https://tex.z-dn.net/?f=4x%20%2B%204m%20%3D%202y%20%2B%203x)
<u>Step 2: Subtract 4m from both sides
</u>
<u />![4x + 4m - 4m = 2y + 3x - 4m](https://tex.z-dn.net/?f=4x%20%2B%204m%20-%204m%20%3D%202y%20%2B%203x%20-%204m)
![4x = 2y + 3x - 4m](https://tex.z-dn.net/?f=4x%20%3D%202y%20%2B%203x%20-%204m)
<u>Step 3: Divide both sides by 4
</u>
<u />![4x / 4 = (2y + 3x - 4m) / 4](https://tex.z-dn.net/?f=4x%20%2F%204%20%3D%20%282y%20%2B%203x%20-%204m%29%20%2F%204)
![x = 1/2y + 3/4x - m](https://tex.z-dn.net/?f=x%20%3D%201%2F2y%20%2B%203%2F4x%20-%20m)
Answer: ![x = 1/2y + 3/4x - m](https://tex.z-dn.net/?f=x%20%3D%201%2F2y%20%2B%203%2F4x%20-%20m)
The circle's equation tells us that it is centered at the origin and that the radius is the square root of 5, which in numbers is 2.23 rounded. That means that any points within that radius are inside the circle and any points outside that radius are outside the circle, which tells us our answers to A and C. A is well within the radius at (-1,1) and C is way outside at (4, -8). Now let's look at B. We have our equation and we also have a radius squared of 5, so let's fit the x and the y values of the point (-2, 1) into that equation and see if what we get is equal to the radius squared that they give us.
If
![x^{2} + y^{2} =5](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D5)
then
![-2^{2} + 1^{2}](https://tex.z-dn.net/?f=%20-2%5E%7B2%7D%20%2B%201%5E%7B2%7D%20)
should = 5. It does, so that coordinate for B lies directly on the circle.
Plug all the numbers/answers given to find out which one is true while the others are false
Answer:
My calculator says <u>165.789</u>
Answer:
-42
Step-by-step explanation:
i put two documents for you. check them out and try to solve some math problems like this. hope it helps!:)