1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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!
You might be interested in
Please help thank you.
Mnenie [13.5K]

Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20}  \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

7 0
3 years ago
15* Que Equations of lins - Part
Phantasy [73]

There is not a given equation nor ordered pair, so it is impossible to answer this question. I apologise.

4 0
3 years ago
What is the correct graph of the function 2x - y = 2?
kolbaska11 [484]

Answer:

slope: 2 2. y-intercept: 2 2.

Step-by-step explanation:

Any line can be graphed using two points.

5 0
3 years ago
Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. L
Gennadij [26K]
If we start with 6 and 8, we can break 6 up into 2*3 and 8 into 2*2*2, thus getting a prime factorization of 2*2*2*2*3, or 2^4 *3.

If we begin with 4 and 12, 4 breaks into 2*2 and 12 into 2*2*3, so the prime factorization of 48 is still 2^4 *3.

The starting factors do not matter, since the answer comes out to be the same. There is exactly one correct answer- it doesn't matter how it's found.

Hope this helps! :)
4 0
3 years ago
Read 2 more answers
Xp+yp=z solve for the variable p
anastassius [24]
Use the distributive property backwards.
xp+yp=z become p(x+y)=x, which solves to p=x/(x+y)
3 0
3 years ago
Other questions:
  • Beth has $300. Each week,she buys a $15 CD and a $5 book. how much money will she have left after 6 weeks.
    11·1 answer
  • In the number 11,651, which places contain digits where one digit is ten times as great as the other digit
    6·1 answer
  • The height of a triangle is 4 m less than its base. The area of the triangle is 48 m².What is the length of the base?
    8·2 answers
  • On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.
    8·1 answer
  • Convert the following to scientific notation<br> A) 0.315<br> B) 5,820,000,000
    7·1 answer
  • How do I find the hypotenuse of a triangle when given 90 degrees and one side length?
    15·1 answer
  • In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent c
    12·1 answer
  • Solve this inequality for y.<br> - 3y + 12 26
    12·1 answer
  • Help me fast!!!!!!!I need to finish this by next period
    13·2 answers
  • The Martin family trucks does an average of 29 miles per gallon predict how many miles the car racing 3 gallons of gas
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!