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# Tutor profile: Victoria L.

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Victoria L.
Biomedical Engineering Student and have been tutoring for 7 years
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## Questions

### Subject:Geometry

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Question:

What is the SAS Theorem?

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Victoria L.

The SAS or Side-Angle-Side Theorem is a theorem to determine congruence. Congruence is when two figures have the same shape an size. The SAS Theorem establishes that if two sides of a triangle and the angle in between them is the same in two different triangles, then the triangles are congruent (the same). For example, if you have a triangle ABC and a triangle XYZ. You know that side A and side X are equal in length and that side B and Y are equal in length AND that the angle between side A and B equals the angle between X and Y, then you can confidently say that the triangles are congruent (the same).

### Subject:Anatomy

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Question:

Knowing the origins and insertions of the pectoralis major muscle, what are the actions does the pectoralis major initiates?

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Victoria L.

### Subject:Algebra

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Question:

If f(x) = (5*x + 10) / (15 - 3*x), what is f(10) - f(4)?

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Victoria L.

F(x) is a mathematical term to say "the function" of x. In other words, f(x) is providing an equation where the variable (or thing) that is changing in the equation is x. Therefore, if you are given the equation: f(x) = (5*x + 10) / (15- 3*x) And you are told to find out what f(10) - f(4) is then 10 and 4 are your two different values for x that will change the output (or value) of the equation. To solve this problem you want to split up "f(10) - f(4)" into two parts. You want to first solve for the value of f(10) and then solve for the value of f(4). To solve for f(10): wherever there is an "x" in your f(x) equation you want to plug in the value 10. f(x) = (5*x + 10) / (15- 3*x) -------> f(10) = (5*10 + 10) / (15 - 3*10) Next, you want to simplify the numerator and denominator. The numerator is (5*10 + 10). Therefore, you want to first multiply 5*10 which is 50, and then do (50+10) which is 60. The denominator is (15 - 3*10). Therefore, you want to first multiply 3*10 which is 30, and then do (15-30) which is -15. Now that the numerator and denominator are simplified, the f(10) equation reads: f(10) = (60) / (-15) Since, a negative number is the same as multiplying a positive number by -1, you can rewrite the f(10) equation as follows: f(10) = (-1) * (60) / (15) You can then divide 60 by 15 which is 4. Then multiply 4 * -1, which is -4. Therefore, f(10) = -4. You can follow the same steps as above to get the value of f(4). The value of f(4) = 10. You can then insert the values of f(10) and f(4) into the original question: f(10) - f(4) = ? ----------> (-4) - (10) = -14

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