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# Tutor profile: Jordan M. C. W.

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Jordan M. C. W.
Expert Tutor in Chess, English Language & Algebra
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## Questions

### Subject:Writing

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Question:

Write a letter to your desired employer informing them that you recently lost your forms of identification.

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Jordan M. C. W.

### Subject:English as a Second Language

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Question:

Identify the correct use of a homonym in the following sentence: The boys ran hurriedly after flinging the baseball ________ the window. a) thorough b) threw c) through d) true

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Jordan M. C. W.

Homonyms are words with different spellings which result in having the same sound. With this in mind, the two words that sound mostly alike are the choices (b) and (c) Threw sounds like "Thru" and Through sounds like "Thru" After narrowing it to these two choices one of them is still incorrect. The context and meaning of each word should help us clue it in. Threw is a past-tense version of the verb "Throw" Whereas, Through is a preposition indicating where an object, place or thing is in respect to another object, place or thing. We usually refer to the word "through" in terms of an obstacle. For instance, the wrecking ball swung menacingly through the Wall. Comparing another example of using the word "through" would help us realize that "through" is indeed the correct choice in this context. Out of the choices (b) and (c) where (c) is through, the final result we choose will be (C)

### Subject:Algebra

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Question:

Given the equation x + y = 9 x^2 - y^2 = 144 (A) Find the value of x - y, thus (B) Find the value of x^2 + y^2 - 2xy

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Jordan M. C. W.

(A) x^2 - y^2 (This is the difference between squares, which can be rewritten as {x+y}{x-y} ) (x-y)(x+y) = 144 (Replace x^2 - y^2 with (x-y)(x+y) ) Then rewrite the equation ======================= x + y = 9 (x + y ) ( x - y ) = 144 Then replace (x + y) with 9 in the next line ===================================== 9 ( x - y) = 144 Divide both sides by 9 ===================== 9 ( x - y ) / 9 = 144 / 9 (x - y ) = 144 / 9 Finally ====== (x - y) = 16 (B) x^2 + y^2 - 2xy (This is the same as x^2 - 2xy + y^2) x^2 - 2xy + y^2 ( This is the same as {x-y} {x-y} ) (x - y) (x - y) However (x - y) = 16 ================= Therefore 16 x 16 256 Finally ====== The value of x^2 + y^2 - 2xy = 256

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