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JulijaS [17]
3 years ago
10

A.

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

The result for an input of 7 is: y=15

The output (y-value) associated with an input of 3 is: y=7

Step-by-step explanation:

The image attached shown the graph for the rule y= 2x+1.

In order to use the graph to predict the result for an input value of 7, you need to follow these steps:

- Draw a vertical line from x=7

- When the vertical line touches the graph, you must draw a horizontal line to the y-axis to find the y-value.

You can observe in the graph that the result for an input value of x=7 is y=15

Follow these steps in order to use the graph to predict the output value associated with an input value of 3:

- Draw a vertical line from x=3

- When the vertical line touches the graph, you must draw a horizontal line to the y-axis to find the y-value.

You can observe in the graph that the output value associated with an input value of x=3  is  y=7

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The missing dimension is

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Step-by-step explanation:

The Pythagorean Theorem states that

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\

Note that c is the hypothenus <em>(</em><em>the</em><em> </em><em>hypothenus</em><em> </em><em>is</em><em> </em><em>always</em><em> </em><em>opposite</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>angle</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>triangle</em><em>)</em>

Therefore

{a}^{2}  +  {b}^{2}  =  {c}^{2} \\  {12}^{2}  +  {b}^{2}  =  {13}^{2} \\ 144 +  {b}^{2}   = 169 \\  {b}^{2}  = 169 - 144 \\  {b}^{2}  = 25

\sqrt{ {b}^{2} }  =  \sqrt{25}  \\ b = 5

Therefore the missing dimension is 5

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