Answer:
According to the pythagorean theorem, a^2 + b^2 =c^2
c signifies the hypotenuse
a and b are the two legs
the sum of the two legs squared measures will equal the measure of the hypotenuse squared.
Step-by-step explanation:
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
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:
The given line is:
So we have:
We find 
So, a line perpendicular to the one given is of the form:
We substitute the given point to find "b":
Finally we have:
In point-slope form we have:
ANswer:
1. x(2x^2-x+4)
2.-3(y-1)(y+2)
3.-(11w^2+18w-1)
Answer:
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
Step-by-step explanation:
Let
Number of students tickets sold = x
Number of adults tickets sold = y
x + y = 530 (1)
3x + 4y = 1740 (2)
From (1)
x = 530 - y
Substitute x = 530 - y into (2)
3x + 4y = 1740
3(530 - y) + 4y = 1740
1590 - 3y + 4y = 1740
- 3y + 4y = 1740 - 1590
y = 150
Substitute y = 150 into (1)
x + y = 530
x + 150 = 530
x = 530 - 150
x = 380
Number of students tickets sold = x = 380 tickets
Number of adults tickets sold = y = 150 tickets
