Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p? m∠1 = 81° and
1 answer:
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The displacement of the girl which the relative change in her position from her starting point. Therefore, the shortest distance between her initial and final position is 58.85 m North - West
From the sketch of the girls movement attached below, the displacement of the girl can be calculated thus :
Using Pythagoras :
Displacement, d = √(50² + 20²)
d = √(2500 + 400)
d = √2900
d = 53.851
Therefore, the displacement of the girl, which is the shortest distance between her current position and starting position is 53.85 meters NW.
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It is to be noted that the Area of the Triangle formed by the points of intersection of the Parabola derived from the equation y = a(x-3) (x+2) with the derived coordinates is 12.
<h3>What is a Parabola?</h3>
In mathematics, a parabola is a symmetrical open plane curve generated when a cone meets a plane parallel to its side.
Under the influence of gravity, a projectile's journey follows a curve of this shape.
Solution:
Step I - recall that y=a(x-3)(x+2)
This means that the base of the triangle is: 3-(-2) = 5
It's Height is = 6a. We arrive at this value when we make x = 0 and utilize the absolute value of the derivation.
Given that the area of a triangle is:
y=a(x-3)(x+2), we therefore have the following equation:
12 = 1/2 * 5 * 6 * A
If A = 4/5, then the solution to our equation comes to 12.
Learn more about Parabola at:
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