0.2-4.5x
Hope this helps and hope it’s the correct answer
Multiply all to find the area of any
Answer:
The other endpoint is (11,-9)
Step-by-step explanation:
<u>Midpoint Formula</u>
<u />![\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29%7D)
We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.
![\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cbegin%7Bcases%7D%20%5Cfrac%7B3%2Bx%7D%7B2%7D%3D7%5C%5C%5Cfrac%7B5%2By%7D%7B2%7D%3D-2%20%5Cend%7Bcases%7D%7D)
Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)
Solve the equation for both terms.
![\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cbegin%7Bcases%7D%20%5Cfrac%7B3%2Bx%7D%7B2%7D%3D7%5C%5C%5Cfrac%7B5%2By%7D%7B2%7D%3D-2%20%5Cend%7Bcases%7D%7D)
Cancel the denominator by multiplying the whole equation by 2.
![\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cbegin%7Bcases%7D%20%5Cfrac%7B3%2Bx%7D%7B2%7D%282%29%3D7%282%29%5C%5C%5Cfrac%7B5%2By%7D%7B2%7D%282%29%3D-2%282%29%20%5Cend%7Bcases%7D%7D%5C%5C%5Clarge%7B%5Cbegin%7Bcases%7D%203%2Bx%3D14%5C%5C%205%2By%3D-4%20%5Cend%7Bcases%7D%7D)
Isolate x-term and y-term.
![\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}](https://tex.z-dn.net/?f=%5Cend%7Bcases%7D%7D%5C%5C%5Clarge%7B%5Cbegin%7Bcases%7D%203%2Bx%3D14%5C%5C%205%2By%3D-4%20%5Cend%7Bcases%7D%7D%5C%5C%5Cend%7Bcases%7D%7D%5C%5C%5Clarge%7B%5Cbegin%7Bcases%7D%20x%3D14-3%5C%5C%20y%3D-4-5%20%5Cend%7Bcases%7D%7D%5C%5C%5Cend%7Bcases%7D%7D%5C%5C%5Clarge%7B%5Cbegin%7Bcases%7D%20x%3D11%5C%5C%20y%3D-9%20%5Cend%7Bcases%7D%7D)
Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.
<em>Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)</em>
<em />
ANSWER:
x = -3
Step-by-step explanation:
55+54+x+74=180
109+x+74=180
183 + x = 180
x = -3
I hope this helps you out