Consider the two expressions $(x + y)^2$ and $x^2 + y^2$. Grogg thinks that these two expressions are equal for all real numbers $x$ and $y,$ but Lizzie disagrees! Let's get to the bottom of it. a) Evaluate $(x + y)^2$ and $x^2 + y^2$ when $x = 5$ and $y = 12.$

b) For which values of $x$ and $y$ does $(x + y)^2$ equal $x^2 + y^2?$ For which values of $x$ and $y$ does $(x + y)^2$ not equal $x^2 + y^2?$

(only need the second part answered)

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

=

x=0.8898305 is the answer to that equation