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    Radicals and Rational Exponents and Pythagorean Theorem

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    1) Solve the following equations.
    a)
    Answer:
    Show work in this space.

    b)
    Answer:
    Show work in this space.

    c)
    Answer:
    Show work in this space.

    2) Is an identity (true for all values of x)?
    Answer:
    Explain your answer in this space.

    3) For the equation , perform the following:
    a) Solve for all values of x that satisfies the equation.
    Answer:
    Show work in this space.

    b) Graph the functions y = x and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
    Graph:

    Points of intersection:

    4) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 6 feet and 8 feet.
    Answer:
    Show work in this space .

    5) Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
    Answer:
    Show work in this space.

    6) The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 1000 cm3.
    Answer:
    Show work in this space.

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    https://brainmass.com/math/basic-algebra/radicals-and-rational-exponents-and-pythagorean-theorem-70174

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    Solution Summary

    Radicals and Rational Exponents and Pythagorean Theorem are investigated. The solution is detailed and well presented.

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