3 probs: length of diagonal; all poss. solns; Binomial Thm

badandy328

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1. The width of a rectangle is 7 less than twice its length. If the area of the rectangle is 23 cm, what is the length of the diagonal?

Note: Your answer must be a number. It may not contain any arithmetic operations.

The length of the diagonal is _______ cm.

2.Find all possible solutions. Give your answers in increasing order. Give your answers to the nearest thousandth.

. . .sqrt[-4x + 4] + 1 = 3x

The smaller possible solution is ________. Is it a solution? (yes or no)

The larger possible solution is ________. Is it a solution? (yes or no)

3.Expand the expression using the Binomial Theorem:

. . .(4x + 1)^5

. . . . . = ___x^5 + ___x^4 + ___x^3 + ___x^2 + ___x + ___

Give the coefficients of each term, and the constant term.
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Edited by stapel -- Reason for edit: removing hotlinks to school's server.
 
These are very basic problems!
What have you done on any of them?
Have you tried to do anything, if so show us what you have done.
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