For the second line
The intersection will be
Therefore, the point of intersection is (13, 16)
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.
How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.
1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.
6C + 7S = $174
10C + 14S = $318
2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.
-12C - 14S = -$348
10C + 14S = $318
Combine like terms.
-2C = $30
Divide by -2 on both sides. The left side cancels out.
C = $30/-2
C = -$15 (In this case the negative doesn't matter)
C = $15 (cost of senior citizen ticket)
Plug the value of C into any of the two equations so we can get the value of S.
6($15) + 7S = $174
Distribute the 6 into the parenthesis.
$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.
7S = $84
Divide both sides by 7.
S = $12
Student ticket: $12
Senior citizen ticket: $15
The discriminant of y=ax^2+bx+c is b^2-4ac
given
9x^2+10x+0
a=9
b=10
c=0
discriminant=10^2-4(9)(0)=100-0=100
the discriminant is 100
The point-slope equation of the line is
Step-by-step explanation:
The form of the point-slope equation is , where
- m is the lope of the line
- is a point lies on the line
The slope of a line , where
and are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴ = 2 and = 7
∴ = 3 and = 4
- Substitute these value in the rule of the slope
∵
∴ the slope of the line is
Let us substitute the value of the slope and the coordinates of point in the form of the equation
∵
∵ = 2 and = 3
∵
∴
The point-slope equation of the line is
Learn more:
You can learn more about the linear equation in brainly.com/question/12941985
#LearnwithBrainly
Answer:
Parallel: G and F
perpendicular: G & H, F & H
Step-by-step explanation:
G and F are parallel because they will never cross, where as both are perpendicular to H because they intersect at 90°