Help would be really nice, tryin to get my grade up :)
2 answers:
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The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is
The given parameters are:
<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:
So, the vertex of the parabola is:
Express properly as:
A point on the graph would be:
The equation of a parabola is calculated using:
Substitute in
Substitute in
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the parabola that describes the path of her jump is
See attachment for the graph
Read more about equations of parabola at:
That's a trapezoid,
Answer: 32
But say we didn't know the formula. We can chop out the 4 by 4 square and we have two 45/45/90 triangles side 4 left over, so two 4 by 4 squares,
A = 2(4)(4) = 32
We can think of this as 12 by 4 rectangle with two 4 by 4 right triangles chopped out:
A = 12(4) - 2(1/2)(4)(4) = 48 - 16 = 32