Don’t understand this question help please

Mathematics

1 answer:

yulyashka [42]2 years ago

4 0

I think the answer is the second one. A reflection over the x-axis and the a 90° counterclockwise rotation about the origin.

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To form 3 adjacent squares (as in the figure), 10 toothpicks are required. How many toothpicks are required to form 100 adjacent

Sonja [21]

<span>Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 301 for n = 100.

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7 0

2 years ago

Use radical notation to rewrite each expression and simplify<br> 9 3/2

scoundrel [369]

Answer:

$9^{\frac{3}{2}}=\sqrt{9^3}=27$

Step-by-step explanation:

The fractional exponent m/n is often translated to radical form as ...

$x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, I find it easier to evaluate as ...

$x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}$

7 0

3 years ago

If (-2, y) lles on the graph of y = 3^x, then y =

sweet [91]

<h3>Answer:</h3>

$\frac{1}{9}$

<h3>Step-by-step explanation:</h3>

We know that $x=-2$ , so substitute that into the equation. $y=3^{-2}$

With negative powers, instead of making the result negative, you divide one by it. Mathematically speaking, $x^{-y}=\frac{1}{x^y}$ . This makes our equation: $y=\frac{1}{3^2}$