SOLUTION: Take Home Quiz In Math 001 1.The sum of the squares of two numbers is 34,the first number being one less than twice the second number.Determine the numbers. 2.A piece of wire 60

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Question 909869: Take Home Quiz In Math 001
1.The sum of the squares of two numbers is 34,the first number being one less than twice the second number.Determine the numbers.
2.A piece of wire 60 in. long is bent into the form of a right triangle having 25 in. as its base.Find the other two sides of the triangle.
3.The length of a rectangle is three times its width,If the width is diminished by1m. and the length is increased by 3m. the area will be 72 m. squared.Find the dimensions of the original triangle.
4.A positive number is 21/10 less than its reciprocal.Find the number.
5.Jose is now twice as old as Lara.Five years ago,he was three times as old as Lara.Find their present ages.
(i need this tom. i have a lot more things to do so please me)
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Set UP
1) (2x-1)^2 + x^2 = 34
5x^2 - 4x + 1 = 34
5x^2 - 4x - 33 = 0
(5x + 11)(x - 3) = 0, x = -11/5, 3 find corresponding pairs(2x-1)
Ordered pairs (3, 5) and ( -11/5, -27/5)
2) Pythagorean Theorem:
25^2 + (35-x)^2 = x^2.
625 + 1225 = 70x
3)(3w + 3)(w-1) = 72m^2
3w^2 = 75 (Tossing out the negative solution for unit measure)
w = 5m and L = 15m
4)

x = � 5, y = � 2
Ordered pairs( -5, -2) and (5,2)
5)2x - 5 = 3(x-5) x Lara's age
10 = x, Lara's age. Jose 20