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superhelp101
 one year ago
SAT Question:
superhelp101
 one year ago
SAT Question:

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superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0I feel like the first and the last one could be the answer

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1root w over 2 is an odd INTEGER

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1so that means root w is even

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1so w is the square of an even number

acxbox22
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434403835527:dw

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434403901094:dw remember x is odd so w is 4 times the square of an odd number

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1divide the answer chices by 4 and see which is the square of an odd number

acxbox22
 one year ago
Best ResponseYou've already chosen the best response.1you can just plug all the answer choices and check

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1anything that is not divisible by 4 is wrong cross out 49, 81, and 225

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1Divide by 4: 144/4=36 196/4=49

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0but 7.5 is also odd

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.17.5 is not an integer.

acxbox22
 one year ago
Best ResponseYou've already chosen the best response.1no it isn't odd or even is only defined for numbers

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0ohh so \[\sqrt{w}\] has to be even?

acxbox22
 one year ago
Best ResponseYou've already chosen the best response.1yea then only it can be divided by 2

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0ohh cool let me work it out

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0144 and 196 could work

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0no it is 196 right?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{\sqrt{w}}{2}=2k+1 \\ \text{ multiply 2 on both sides } \\ \sqrt{w}=2(2k+1) \\ \text{ \square both sides } w=2^2(2k+1)^2\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0this says w is divisble by 4 and some other odd number square

freckles
 one year ago
Best ResponseYou've already chosen the best response.0is 49,81,225 divisible by 4?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0so your choices are narrowed down to either 144 or 196 write the prime factorization both of these

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434404702547:dw

GreenCat
 one year ago
Best ResponseYou've already chosen the best response.1According to what I had earlier shown, yes 196 works as you said.

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434404755390:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[144=2^4 \cdot 3^2 \\ 196=2^2 \cdot 7^2 \] and \[w=2^2(2k+1)^2\] which fits the w form?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0notice the 2 has a square on it in the w factorization both satisfy the odd^2 part but only one of them satisfy the 2 raised to the second power part

superhelp101
 one year ago
Best ResponseYou've already chosen the best response.0thank you all for the help! :)
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