Radicals and Rational Exponents and Pythagorean Theorem

1) Solve the following equations.
a)
Answer:
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b)
Answer:
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c)
Answer:
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2) Is an identity (true for all values of x)?
Answer:
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3) For the equation , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
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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:
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5) Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Answer:
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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:
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... Assume that all expressions under radicals represent non-negative numbers. 22. Use rational exponents to write as a single radical expression. 23. ...

... In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse ... Graphing, Radicals and Rational Exponents are investigated. ...

Radicals and Rational Exponents and Applications of Logarithms ...exponent rather then a radical sign. ... basic functions (linear, quadratic, rational, or exponential...

... Answer: Show work in this space. Radical and rational exponent notation are ... Explain the similarities between radicals and rational exponent notation. ...

... Explain the similarities between radicals and rational exponent notation. ... the base (n) it can be on the left as a number with radical sign, namely, n. ...

... other than one in the rational exponent, then you ... to explain how to get time using a radical. ... solution discusses the relationship between radicals and exponents...

... both equal to 2. Same also for radicals: x and ... terms because they have the same exponent, which is ... added or subtracted, meaning the rational expressions should ...

... 3. Subtract. Simplify by collecting like radical terms if possible. ... Type exact answers, using radicals as needed. ... 9. Use rational exponents to write. Answer: ...