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yuradex [85]
3 years ago
12

Solve the equation: 12=19-√3x-11

Mathematics
2 answers:
blondinia [14]3 years ago
5 0
<span>Step  1  :</span>Isolate the square root on the left hand side :

     Original equation 
<span>     12 = 19-√3x-11

</span>     Isolate
<span>     √3x-11 = -12+19

</span>      Tidy up 
<span>     √3x-11 = 7

</span>

<span>Step  2  :</span>Eliminate the radical on the left hand side :

     Raise both sides to the second power
<span>     (√3x-11)2 = (7)2

</span>     After squaring 
<span>     3x-11 = 49

</span>

<span>Step  3  :</span>Solve the linear equation :

     Rearranged equation
<span>      3x  -60 = 0
</span>
     Add  60  to both sides
<span>      3x  = 60
</span>
     Divide both sides by 3
     A possible solution is :
<span>     x = 20
</span>

<span>Step  4  :</span>Check that the solution is correct :

     Original equation, root isolated


<span>     √3x-11 = 7

</span>     Plug in 20 for  x 
<span>      √3•(20)-11 = 7
</span>      Simplify
     <span> √49 = 7</span>
     Solution is: 
<span>      x = 20
</span>

One solution was found :                  <span>      x = 20

</span>
Alekssandra [29.7K]3 years ago
4 0
The answer is x=20. You isolate the square root. Eliminate the radical on the left handside. And then solve it!
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What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
Need help on number 11
mezya [45]
Wren's bedroom is 12 feet long x 10 feet wide. She plans to purchase carpet for the entire room. The carpet costs $25 per square meter. What are the dimensions in meters? Round each to nearest tenths place.

There are 3.28084 feet in a meter.
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10*3.28084=32.8084
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6 0
3 years ago
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