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Tutor profile: Anh N.

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Anh N.
Tutor Math for four years
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Questions

Subject: Pre-Algebra

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Question:

What is the difference between whole numbers and natural numbers?

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Anh N.
Answer:

The difference between whole numbers and natural numbers is that the whole number set includes zero, while the natural number set does not. Natural number: {1, 2, 3, 4, 5,....} Whole number: {0, 1,2, 3, 4,5,...}

Subject: Basic Math

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Question:

What does "like term" mean? How can we combine like terms?

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Anh N.
Answer:

Like term basically means "exact same" term, and by "exact same", it means: same variable and same power. For example, I have "x" and "2x" are the like terms, since they have the same variable, which is x, and both of their variables raised to the first power; OR you will not have "x" and "2x^2" as like terms because their variables are raised to different power (one is first power and the other one is second power) When we combine like terms, we basically just add the numerical part while carrying the term along. For example: 3x + 4x = 7x 4x^2 - 6x^2 = -2x^2

Subject: Algebra

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Question:

In ellipse equation, how do you know which one is "a" and which one is "b"? How do you know if your ellipse is horizontal or vertical?

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Anh N.
Answer:

To answer this question, we need to go over the ellipse equation again: - Horizontal ellipse: x^2/a^2 + y^2/b^2 = 1 - Vertical ellipse: x^2/b^2 + y^2/a^2 = 1 In ellipse equation, "a" is always the larger number. For example, if you have to decide which one is a and which one is b between 2 numbers: 3 and 5, then since 5 > 3, we know that a = 5 and b = 3. Also, in order to know whether our ellipse is horizontal or vertical, we will consider our major axis. If our major axis is on the x-axis, or parallel to the x-axis, then we have a horizontal ellipse. On the other hand, if our major axis is on the y-axis, or parallel to the y-axis, then we have a vertical ellipse.

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