here the equation of path is -2x-7=y
let us find slope of this line by using y=mx+b
so slope m=-2
now new path is perpendicular to this path.
product of slopes of perpendiculars is -1
so slope of new path is 1/2
now it passes through (-2,-3) with slope 1/2
using y=mx+b to get value of b
-3=1/2(-2) +b
b=-2
plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as
y=(-1/2) x -2 is the equation of new path
Answer: 96 adult tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of students tickets that were sold.
For the last basketball game, 381 tickets were sold. This means that
x + y = 381
Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that
7x + 3y = 1527 - - - - - - - - - - - -1
Substituting x = 381 - y into equation 1, it becomes
7(381 - y) + 3y = 1527
2667 - 7y + 3y = 1527
- 7y + 3y = 1527 - 2667
- 4y = - 1140
y = - 1140/- 4
y = 285
x = 381 - y = 381 - 285
x = 96
Answer:
12%
Step-by-step explanation:
The answer is 0.0017. Do you not have a calculator?
-1^3 - -1^2 +1= -1. ...........
