Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y End Fraction?
1 answer:
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Consider all parabolas:
1.
When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.
2.
When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.
3.
When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.
4.
When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.
5.
When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.
6.
When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.
The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l = 48
Your answer is 48.
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l = 48
Your answer is 48