Recall that the focus of a parabola is a point inside the parabola along the axis of symmetry of the parabola with the same distance from the vertex of the parabola as the directrix of the parabola.
Given that the focus of the parabola is (8, 16) i.e. a y-value of 16. The vertex of a parabola is halfway the distance between the y-values of the focus and the directrix.
i.e. the vertex of the parabola will have a y-value of (16 + (-8)) / 2 = (16 - 8) / 2 = 8 / 2 = 4.
Thus the vertex of the parabola is (8, 4)
Let point (x, y) be any point on the parabola, the distance between point (x, y) and the focus is

while the distance between the point (x, y) and the directrix is

Now, by definition, the distance between any point in a parabola and the focus is equal to the distance between that point and the directrix.
i.e.
Claire is sharing a pizza with two other people. There is one quarter left of the pizza. How much will each person get.
Answer:
A = 68
B = 44
C = 68
Step-by-step explanation:
find x:
68 + x + x - 24 = 180
2x + 44 = 180
180 - 44 = 136
136 / 2 = 68
x = 68
_________________________
68 + 68 + 44 = 180
Answer:
x² + 8x + 7
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
(x + 7)(x + 1)
<u>Step 2: Expand</u>
- Expand [FOIL]: x² + x + 7x + 7
- Combine like terms: x² + 8x + 7