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Mashutka [201]
3 years ago
11

Multiply:(square root 10 + 2 square root 8)( square root 10 - 2 square root 8)

Mathematics
2 answers:
kogti [31]3 years ago
7 0
Answer: -22.

Explaination: if you multiply the square root 10+. And Square the root of 8
pantera1 [17]3 years ago
3 0

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

(\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})

First, we need to FOIL out this expression, then we can simplify it

(\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22

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Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

The average rate of change of a function over the interval [a,b] is equal to \frac{f(b)-f(a)}{b-a}, hence:

\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}

Therefore, the average rate of change of f(x) over the interval [5,9] is \frac{9}{2}.

<u>Part B</u>

Do the same thing as in Part A:

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Therefore, the average rate of change of g(x) over the interval [0.25,1] is -4.

<u>Part C</u>

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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Step-by-step explanation:

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The given angles are 95° and 135, and the value of x is 40.

<h3>What is the angle sum property?</h3>

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

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Let's consider the adjacent angle of 135 to be z.

So, as we can see that both angles make a linear pair.

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Thus, the value of x is 40.

Learn more about the triangles;

brainly.com/question/2773823

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