Well think the answer is x = 14/9 but I don't think there is a full number for this equation.
Y=1/4x-2 would be the equation for the line perpendicular to that line and crosses through that ordered pair!
They already give you the number of boys {14}, so all you need to do is subtract 30 - 14 which will give you the ratio of girls.
It does this because 14 takes up 
of the seventh grade class.
So your answer is going to be 14:16 un-simplified.
However, since they ask you to put it in the simplest terms, we are going to simplify 
You can do this by dividing both numbers by 2.
= 
or 
Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.
Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)
Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get
f(x)=4x^2+2x-4
Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.
Answer: 40 and 52
Step-by-step explanation:
, so both 40 and 52 have a factor of 4.
