3 years ago

Select whether to use the Pythagorean Theorem or its converse in each situation.

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

1. Pythagorean Theorem
2. Converse
3. Pythagorean Theorem
4. Pythagorean Theorem

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Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

$h(x) = f(x) + g(x)$ $h(x) = f(x) - g(x)$

$h(x) = \frac{f(x)}{g(x)}$ $h(x) = f(g(x))$

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

$f(x) = 75+ 10x$

The savings function is given as

$s(x) = 85$

The allowance function is given as:

$a(x) = 10(x - 1)$

The new function that combined his savings and his allowances is calculated as:

$f(x) = s(x) + a(x)$

Substitute values for s(x) and a(x)

$f(x) = 85 + 10(x - 1)$

Open bracket

$f(x) = 85 + 10x - 10$

Collect like terms

$f(x) = 85 - 10+ 10x$

$f(x) = 75+ 10x$