A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this pr
1 answer:
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Answer:
The equation of parabola is given by :
Step-by-step explanation:
Given that vertex and focus of parabola are
Vertex: (4,-3)
Focus:(,-3)
The general equation of parabola is given by.
, When x-componet of focus and Vertex is same
, When y-componet of focus and Vertex is same
where Vertex: (h,k)
and p is distance between vertex and focus
The distance between two points is given by :
L=
For value of p:
p=
p=
p=
p= and p=
Since, Focus is left side of the vertex,
p= is required value
Replacing value in general equation of parabola,
Vertex: (h,k)=(4,-3)
p=
<h2>Answer:</h2>
We will use substitution to solve this system for x.
Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.
We now have our solution.
D.
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.
Since the equation checks out, our solution is correct.