The sum of two numbers is 51. The larger number is 17 more than the smaller number. What are the numbers ?
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The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.
<h3>What is the parabola?</h3>It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).
Then the equation can be written as
On squaring both sides, we have
More about the parabola link is given below.
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