Match each word problem to the equation that models it. The sum of the squares of two positive integers is 394 If one integer is 2 less than the other and the larger integer is x, find the integers. The numerator of a fraction is 5 more than its denominator. If 3 is added to both the numerator and denominator, the fraction reduced to 4/3, Find the original fraction if x is its denominator. The sum of a positive integer, x, and its inverse is 4/3 find the the integers Models 2x^2-4x-390=0 3x^2-4x+3=0 3x+24=4x+13

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation:

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?