Which of the following equations describes the set of all points (x, y) that are equidistant from the x-axis and the point (4, 6)? (a) (x - 4)^2 + (y - 6)^2 = 9 (b) (x - 4)^2 = 12(y - 3) (c) (y - 3)^2 = 12(x - 4) (d) (x - 4)^2 = 6(y - 3) (e) (x - 4)^2 = 12(y - 6) why is the answer choice (b)? and also, why not choice (d)?

Answer

The option B is the right answer because the vertex is (4,3)

Step-by-step explanation:

In the canonical equation of the parabola:

(X-h) ^ 2 = 4p (y-k)

The values (h, k) correspond to the coordinates (x, y) of the vertex.

In the definition of the problem it is said that the guideline of the parabola is the X axis, that is, the line Y = 0 and the focus is the point (4,6).

If the vertex were the point (4.6) the correct option would be option D

But the vertex is located at the midpoint of the segment defined by the focus points (4, 6) and the point (4, 0) that is on the parabola directrix. therefore, as the vertex is the point (4.3). the correct option is B.

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24