Answer:
<em>The coordinates of b are: B=(-7,-8)</em>
Step-by-step explanation:
We are given the coordinates of the midpoint of
as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
![\displaystyle x_m=\frac{x_a+x_b}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_m%3D%5Cfrac%7Bx_a%2Bx_b%7D%7B2%7D)
![\displaystyle y_m=\frac{y_a+y_b}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y_m%3D%5Cfrac%7By_a%2By_b%7D%7B2%7D)
We know xa=-3 and xm=-5. Solve the first equation for xb:
![2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a](https://tex.z-dn.net/?f=2x_m%3Dx_a%2Bx_b%5CRightarrow%20x_b%3D2x_m-x_a)
Substituting:
![x_b=2\cdot (-5)-(-3)=-10+3](https://tex.z-dn.net/?f=x_b%3D2%5Ccdot%20%28-5%29-%28-3%29%3D-10%2B3)
![x_b=-7](https://tex.z-dn.net/?f=x_b%3D-7)
We can solve the second equation for xb and get:
![y_b=2y_m-y_a](https://tex.z-dn.net/?f=y_b%3D2y_m-y_a)
Since ya=4 and ym=-2, then:
![y_b=2\cdot (-2)-(4)=-4-4](https://tex.z-dn.net/?f=y_b%3D2%5Ccdot%20%28-2%29-%284%29%3D-4-4)
![y_b=-8](https://tex.z-dn.net/?f=y_b%3D-8)
Thus, the coordinates of b are: B=(-7,-8)
Answer:
280 student tickets
520 adult tickets
Explanation:
I'm guessing this is the question you meant to ask:
Eight hundred tickets were sold for a movie production and the receipts for the performance wear $8600. The tickets for adults and students sold for $12.50 and $7.50, respectively. How many of each ticket were sold?
This makes no sense but that would be fire
Answer:
Step-by-step explanation:
get them some multiplication charts and use some examples like oreos or any type of cookies.
Answer:
Step-by-step explanation: