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2 years ago

Functions Quiz Paper Portion y= 1/2x+5

Mathematics

2 answers:

Ivahew [28]2 years ago

7 0

Answer:

View attached graph

Step-by-step explanation:

$\left[\begin{array}{cc}x&y\\-4&3\\-2&4\\0&5\\2&6\end{array}\right]$

Hope this helps!

Mnenie [13.5K]2 years ago

5 0

Answer:

See attached

Step-by-step explanation:

[] I gave you the explanation of going from table to graph on the last question, so I will explain graph to table.

[] First, we will plot (0, 5) as it is the y-intercept.

-> I am using a square = 2-units scale as 5 is a larger number and we can see the table goes by 2's.

-> Then, using rise-over-run for the slope, we will move up one point and 2 points to the right. Repeat. Then we will graph the line.

[] Now, we can put (0, 5) into the table.

-> For the rest, we will look at our graph.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$

Isolate a by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

$a=7.3$

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

$\displaystyle sin\theta=\frac{5}{8}$

In this case, we will use the inverse sine ratio:

$\displaystyle \theta=sin^-^1(\frac{5}{8})$

Solve using a calculator:

$\displaystyle \theta=39$

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

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