# Tutor profile: Jordan M. C. W.

## Questions

### Subject: Writing

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

When writing we start with the formality of addressing the audience in the form "Dear Sir/ Madam". Following this we introduce the reasons for a delayed response to their requests. Next we indicate the incident which may have impacted your ability to respond to your employer. Finally, you reassure them that you will recover your lost items and that you will update them as soon as you do. Example: Dear Sir/ Madame: Good day, I am writing this letter in response to your request. I apologize in advance for just responding to your request for additional information from me. I was recently on a trip, where unfortunately a bag containing my most important documents were stolen. I am in the process of recovering copies and re-applying for my driver's license card, passport and visa which will take me some time according to the time each department responds to me. I will have the copies of these documents sent to you as soon as they are released to me. I am still very much interested in your job offer, and I am working as quickly as possible to recover the necessary documentation you need from me. I will alert you as soon as this issue is resolved. Thanks in advance for your patience and understanding. Sincerely, J C W

### Subject: English as a Second Language

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

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

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

(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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