At Brian’s Bookstore, 0.3 of the shelves hold mysteries, 25% of the shelves hold travel books, and 7/20 of the shelves hold chil
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The winner got $70,000 and the runner up got $14,000
Let the winner be represented by x and runner up by y
Data given;
- Amount to be shared = $84000
- x = 5y
This is a simple case of ratio i.e 1 : 5
<h3>Equation</h3>The runner up received $14000. let's use this data to find how much the winner got.
From the calculations above, the winner got $70,000 and the runner up got $14,000.
Learn more about ratios here;
Answer:
Step-by-step explanation:
If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,
where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:
Simplify the left side to
which simplifies, in its entirety, to