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Solving Equations, Length of a Cube and Pythagorean Theorem

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1. a. square root of x-2 = 1 show work
b. square root of x cubed = 27 show work
c. 3 x the square root of x squared = 9 show work

2. Is the square root of x squared = x an identity (true for all non values of x?)
Explain answer

3. For the equation x - 2 times square root of x on the same graph (by plotting points if necessary) Show the points of intersection of these two graphs.

4. In a right triangle, the sides are related by Pythagorean Theorem c squarred + a squared + b squared where c is the hypotenuse ( the side opposite the 90 degree angle) Find the hypotenuse when the other 2 sides' measurements are 6 feet and 8 feet. Show work

5. Should you travel north for 65 kilometers then travel east 75 kilometers. How far are your from your starting point? Show work

6. The volume of a cube is given by V= s cubed. Find the length of a side of a cube if the volume is 1000 cm cubed. Show work

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Solution Summary

Solving Equations, Length of a Cube and Pythagorean Theorem are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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