anonymous
  • anonymous
What is the value of x? Round to the nearest tenth.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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SolomonZelman
  • SolomonZelman
\(\large\color{black}{ \displaystyle a^2+b^2=c^2 }\) where c is the hypotenuse of a right triangle, and a & b are the legs.
SolomonZelman
  • SolomonZelman
Would you then agree with the following set up (to find x)? \(\large\color{black}{ \displaystyle 12^2+x^2=22^2 }\)

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More answers

anonymous
  • anonymous
Yes
SolomonZelman
  • SolomonZelman
ok, then tell me what x is going to equal (and disregard the negative x solution)
anonymous
  • anonymous
10
SolomonZelman
  • SolomonZelman
no
SolomonZelman
  • SolomonZelman
it is not 12+x=22 then it would have been correct, BUT///
SolomonZelman
  • SolomonZelman
it is 12²+x²=22²
anonymous
  • anonymous
oh ok
SolomonZelman
  • SolomonZelman
first, you have to simplify the powers.
SolomonZelman
  • SolomonZelman
12²=? 22²=?
anonymous
  • anonymous
144
anonymous
  • anonymous
484
SolomonZelman
  • SolomonZelman
yes
SolomonZelman
  • SolomonZelman
\(\large\color{black}{ \displaystyle 12^2+x^2=22^2 }\) \(\large\color{black}{ \displaystyle 144+x^2=484 }\) when you subtract 144 from both sides, you get: \(\large\color{black}{ \displaystyle x^2=340 }\)
SolomonZelman
  • SolomonZelman
So, x² is 340
anonymous
  • anonymous
okay
SolomonZelman
  • SolomonZelman
then take the square root of both sides.
anonymous
  • anonymous
okay
anonymous
  • anonymous
then?
anonymous
  • anonymous
so what's the final answer? @SolomonZelman
anonymous
  • anonymous
@SolomonZelman i running out of time please
anonymous
  • anonymous
i'm*
SolomonZelman
  • SolomonZelman
\(\large\color{black}{ \displaystyle x^2=340 }\) \(\large\color{black}{ \displaystyle \sqrt{x^2}=\sqrt{340} }\) \(\large\color{black}{ \displaystyle x=\pm \sqrt{340} }\) exclude the negative result, as a side can't be negagive. \(\large\color{black}{ \displaystyle x=\sqrt{340} }\) \(\large\color{black}{ \displaystyle x=\sqrt{4\times 85} }\) \(\large\color{black}{ \displaystyle x=2\sqrt{85} }\)

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