Answer: x = 8
Step-by-step explanation:
Using The Pythagorean theorem (a^2 + b^2 = c^2) we can find A or In This Case X
Plug In The Numbers:
x^2 + 6^2 = 10^2
simplify
x^2 + 36 = 100
Next, Since Were Trying To Find X And Not C, We Subtract B From C Or 36 From 100
x^2 + 36 - 36 = 100 - 36
simplify
x^2 = 64
Next, To Get Rid Of The Square, Were Going To Find The Square Root Of Both Sides Of The Equation
sqr/a = sqr/64
simplify
x = 8
Answer:
New computer will take 33.28 hours to complete the calculation by itself.
Step-by-step explanation:
Let the time taken by the new computer to complete the calculation = x hours
Per hours work done by the new computer = 
Time taken by the older computer to complete the calculation = (x + 11) hour
Per hour work done by old computer = 
When both the computers work together they complete the work in 19 hours.
Therefore, per hour work done by both together = 
We per hour work done by both individually = per hour work done by both together



38x + 209 = x² + 11x
x² - 27x - 209 = 0
By quadratic formula,
x = 
x = 
x = 
x = 
x = 33.28 hours
Therefore, new computer will take 33.28 hours to complete the calculation by itself.