Answer: 16.16
Step-by-step explanation:
xy in this situation, will be the distance between the two points.
(-8,2) (7,-4) Find the distance between the points
To ind the distance, find the difference in the x and y values,square them and add them to find the obtained number square root.
2-(-4) = 6
-8 - 7 = -15
6^2 + (-15)^2 = d^2 where d is the distance
36 + 225 = d^2
261 = d^2
d= 
d= 16.1554 rounded to the nearest hundredth is 16.16
Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?
Step-by-step explanation:
250 + $7,289 + $1,275 = 8814
Let a = Adult tickets, s = Student tickets; we are going to set up a system of equations.
8a + 4s = 880
a - s = 20
We are going to multiply the second equation by so that we can cancel out one of the variables and solve for the other. This gives you:
8a + 4s = 880
4a - 4s = 20
Notice the s-variables will cancel:
12a = 900
a = 75
Now we plug in the amount of adult tickets to solve for the student ones.
75 - s = 20
- s = - 55
Divide both sides by - 1
s = 55.
There were 55 student tickets sold and 75 adult tickets.
(9x - 5y)(2x + 3y)
9x(2x + 3y) - 5y(2x+ 3y)
9x(2x) + 9x(3y) - 5y(2x) - 5y(3y)
18x² + 27xy - 10xy - 15y²
18x² + 17xy - 15y²
C) x=4 is the answer
2*4-1=7
8-1=7