Answer:
she lost 31 points
Step-by-step explanation:
23--8=-31
28-31=-8
Answer:
I think is b or a...........................
Step-by-step explanation:
B.....
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:
![m_ {1} * m_ {2} = - 1](https://tex.z-dn.net/?f=m_%20%7B1%7D%20%2A%20m_%20%7B2%7D%20%3D%20-%201)
The given line is:
![5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3](https://tex.z-dn.net/?f=5x-2y%20%3D%20-6%5C%5C-2y%20%3D%20-6-5x%5C%5C2y%20%3D%205x%20%2B%206%5C%5Cy%20%3D%20%5Cfrac%20%7B5%7D%20%7B2%7D%20x%20%2B%20%5Cfrac%20%7B6%7D%20%7B2%7D%5C%5Cy%20%3D%20%5Cfrac%20%7B5%7D%20%7B2%7D%20x%20%2B%203)
So we have:
![m_ {1} = \frac {5} {2}](https://tex.z-dn.net/?f=m_%20%7B1%7D%20%3D%20%5Cfrac%20%7B5%7D%20%7B2%7D)
We find ![m_ {2}:](https://tex.z-dn.net/?f=m_%20%7B2%7D%3A)
![m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}](https://tex.z-dn.net/?f=m_%20%7B2%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7B%5Cfrac%20%7B5%7D%20%7B2%7D%7D%5C%5Cm%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D)
So, a line perpendicular to the one given is of the form:
![y = - \frac {2} {5} x + b](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20x%20%2B%20b)
We substitute the given point to find "b":
![-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2](https://tex.z-dn.net/?f=-4%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20%285%29%20%2B%20b%5C%5C-4%20%3D%20-2%20%2B%20b%5C%5C-4%20%2B%202%20%3D%20b%5C%5Cb%20%3D%20-2)
Finally we have:
![y = - \frac {2} {5} x-2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20x-2)
In point-slope form we have:
![y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)](https://tex.z-dn.net/?f=y%20-%20%28-%204%29%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20%28x-5%29%5C%5Cy%20%2B%204%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20%28x-5%29)
ANswer:
![y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20x-2%5C%5Cy%20%2B%204%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B5%7D%20%28x-5%29)
Answer:
A. x = 2y
64x + 132y = 1040
B. adult ticket = $8
student ticket = $4
Step-by-step explanation:
x = adult ticket
y = student ticket
A. an adult ticket is 2 times a student ticket, therefore, x = 2y
64(price of adult ticket) + 132(price of student ticket) = 1040
B. to find the price of each ticket, find the price of the student ticket (y) first since you have the adult ticket (x) by itself. Now you can substitute x = 2y into 64(x) + 132(y) = 1040. So you would get 128(y) + 132(y) = 1040. Next, combine both y to get 260(y) = 1040. Then divide both sides by 240 to get y which equals $4. Then you can easily find x which would equal $8
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