MATHEMATICS HIGH SCHOOL

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)?

Answers

Answer 1

Answer:

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.

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Order the following units of capacity from least to greatest:gallon,pint,cup,quart

Answers

The order of the given units from least to greatest is

cup < pint < quart < gallon

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

According to the given question.

We have different units gallon, pint, cup and quart of volume.

For arranging the above units from least to greatest we use unit conversion.

Since,

1 gallon = 16 cups

1 quart = 4 cups

and

1 pint = 2 cups

So, we have converted all the units in cups.

Hence, the order of the given units from least to greatest is

cup < pint < quart < gallon

Find out more information about unit conversion here:

brainly.com/question/10943201

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First you would have a cup, then you would have a pint, then a quart, and finally a gallon.
I hope I helped you

Pls help me my homework is due tomorrow lol