Sunday
May 19, 2013

Posts by TOM


Total # Posts: 894

Math (Algebra) (Distance Between 2 Lines)
If real numbers a and b satisfy a^2 + b^2 = 64, what is the distance between the lines ax + by = 1 and ax + by = 417 ?

Math (Algebraic Manipulation) Help me please
An operation produces A−1/A from a fraction A= m/n, where m ≠ n and m ≠ 0. If the initial value of A is 24/47 and the operation is repeated 2012 times, the final output is a/b, where a and b are coprime positive integers. What is a+b?

Math (Algebra)
If positive integers x and y satisfy the equation xy−5x−10y+43=0, the sum x+y is constant. What is the value of x+y?

Math (Algebra) Remainder Theorem
What is the remainder when f(x)=x^2220 + x^2215 + x^2210 + … + x^10 + x^5 + x^0 is divided by x^4 + x^3 + x^2 + x + 1? Note that: x^0 = 1

math
Stacey used her 20% discount card to buy 7 cans of tomatoes and 15 cans of mushrooms for $10.64. The next day Brian spent $ 7.21 on 17 cans of tomatoes and 5 cans of mushrooms in a "30% off" sale. Find the undiscounted pre- sale price of each type of can.

Math (Calculus) (Implicit Differentiation)
The equation of the line tangent to (x^2+y^2)^4=16x^2y^2 at (x,y)=(−1,1) is ay = bx + c, where a, b and c are positive integers. What is the value of a+b+c?

Math (Algebraic Manipulation)
An operation produces A−1/A from a fraction A= m/n, where m ≠ n and m ≠ 0. If the initial value of A is 24/47 and the operation is repeated 2012 times, the final output is a/b, where a and b are coprime positive integers. What is a+b?

Math (Algebra) (Distance Between 2 Lines)
If real numbers a and b satisfy a^2 + b^2 = 64, what is the distance between the lines ax + by = 1 and ax + by = 417 ?

Math
Sam measured the length of an insect. He found it was between 3 1/2 inches and 3 3/10 inches long. Write a mixed number that could be the length of the insect

Math (Trigonometry)
Thank you very much! You're good! :)

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