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Novay_Z [31]
3 years ago
12

Hi can someone please answer this question? Thank you :)

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

\frac{7}{8}

Step-by-step explanation:

Remember that slope, or in this case pitch, is equal to rise divided by run. In other words:

m=\frac{rise}{run}

where m is the slope.

From looking at the image, we can see that the rise 21 feet and the run is 24 feet. By plugging this information into the equation, we get:

m=\frac{21}{24}=\frac{7}{8}

So the slope, or pitch, of the roof id 7/8.

I hope you find my answer and explanation to be helpful. Happy studying.

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SOLUTION:

We are to pick from the given tiles the pairs that are associated with each functions.

Note that each of the pairs are of the form (x,y) coordinates.

(1)

y=6^x

The correct tiles for this function with explanation are given as follow;

\begin{gathered} (1,6)\text{ } \\ y\text{ = 6 when x =1 } \\ y=6^x \\ 6=6^1 \\ \text{Correct} \end{gathered}\begin{gathered} (0,1) \\ y\text{ = 1 when x = 0} \\ y=6^x \\ 1=6^0 \\ \text{Correct} \end{gathered}\begin{gathered} (2,36) \\ y=36\text{ when x = 2} \\ y=6^x \\ 36=6^2 \\ \text{Correct} \end{gathered}\begin{gathered} (0.5,\sqrt[]{6)} \\ y\text{ = }\sqrt[]{6}\text{ when x = 0.5} \\ y=6^x \\ \sqrt[]{6}=6^{0.5} \\ \sqrt[]{6}=6^{\frac{1}{2}} \\ \sqrt[]{6}\text{ = }\sqrt[]{6} \\ \text{Correct} \end{gathered}

For the first function, above tried tiles are the associated ones any other one different from those explained above are not associated with the fuction.

(2)

y=\log _6x

The correct tiles for this function are given as follow;

(6,1),\text{ (1, 0), (36 ,2) and (}\sqrt[]{6\text{ }}\text{ , 0.5)}

Let me explain or prove two out of the four tiles.

\begin{gathered} (6,\text{ 1)} \\ y\text{ = 1 when x =6} \\ y=\log _6x \\ 1=\log _66 \\ \text{Correct} \end{gathered}\begin{gathered} (\sqrt[]{6},\text{ 0.5)} \\ y\text{ = 0.5 when x = }\sqrt[]{6} \\ y=\log _6x \\ 0.5\text{ =}\log _6\sqrt[]{6} \\ \frac{1}{2}=\log _66^{\frac{1}{2}} \\  \\ \frac{1}{2\text{ }}=\text{ }\frac{1}{2}\log _66 \\  \\ \frac{1}{2\text{ }}=\text{ }\frac{1}{2}\text{ x 1} \\  \\ \frac{1}{2\text{ }}=\text{ }\frac{1}{2}\text{ } \\  \\ \text{Correct} \end{gathered}

You can also use the approach above to confirm the remaining two.

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