Which addition does the model below represent?
1 answer:
<h3>Answer:</h3>
[C] 3 + ( - 4).
<h3>Explanation:</h3>- First the arrow begins at 0 and moves to the right 3 spaces positive, ending at 3.
- Then it moves backwards, which is subtracting left 4 spaces towards -1 past zero.
- When adding a negative to a positive, you convert it to subtraction.
- 3 + -4 is the same as 3 - 4.
<u>Correct choice</u> - [C] 3 + (- 4).
<u>Note</u>: See the picture attached.
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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