Solving Equations, Length of a Cube and Pythagorean Theorem

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

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.

Solving Quadratic Equations by Factoring is Chapter 13.7 page 955
1) Quadratic Equation is in STANDARD FORM (ax^2 + bx + c = 0 where a is positive)
Factor trinomial: x^2 + bx +c =(X + m)( X +n)=0 ,which :(mn=C),and (m+n=b)
(X + m)=0 ---->X = - m , and (X + n)=0----> X= - n
2) PythagoreanTheorem in Right triangle (

A radio station is going to construct a 12 foot tower for a new antenna on top of a tall building. The tower will be supported by three cables, each attached to the top of the tower and to points on the roof of the building which are 5 feet from the base of the tower. What is the total length of these three cables? 39 feet
Ca

Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? Can you show me how you got the answer?

A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by PythagoreanTheorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet.

1. Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Provide an example with your explanation.
2. How might the Pythagoreantheoremand distance formula be used in

1.The formula r=2sqrt(5L) can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 30mph?
2.What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to the diagonal of the screen. A 25 inch TV set also has a wid

1. Square root 0f x-1=3
2. The square root of x3 = 8
3. The square root of x2 = x an identity (true for all values of x)?
4. V = s3. Find the length of a side of a cube if the Volume is 729 cm3.