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The Pythagorean Theorem

Determine the algebraic representation of f(x)

This gives which is the same as  

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Explanation:

The general template for a square root function is

where,

The graph has not been scaled vertically. In other words, it has not been vertically stretched or vertically compressed. So the value of 'a' is equal to 1.

The value of h is 2 since the graph has been shifted 2 units to the right. If we wanted to go left, then h would be negative.

The value of k is 0 because there is no vertical shifting going on.

In summary,

a = 1, h = 2, k = 0

Leading

to turn into

which simplifies to

The Pythagorean theorem is not used in this problem.

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.