Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is 
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line 
is light green, line 
is dark green, and their intersection is point A.
Simiarly, line 
is red, line 
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
The function in vertex form is
(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is
, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.
The rate of the cups of vinegar per tablespoon of lemon oil is two per tablespoon rates in cups
Answer: 245y^15
Step-by-step explanation:
Pythagoras’ Theorem = a^2+b^2=c^2
c^2= 5^2+12^2
=25+144
=169
c= sqrt of 169
c=13
Hypotenuse=13cm
