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Zepler [3.9K]
3 years ago
12

I need help on #4 & #6

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0
So for 4, first thing you need is slope. Choose 2 points. I am choosing (8,2) and (6,3) So, then its the second y term subtracted by the first y term over(Or divided by) the second x term subtracted by the first x term.
3-2/6-8 or 1/-2 or -.5 (negative 0.5)
Now, time to find the yintercept(yint). So, choose one of the points, Im choosing (8,2), and put it into slope intercept, but leave yint as b.
(2)=-.5(8)+b
simplify
2= -4+b
subtract -4
b=6
So, your answer is y= -0.5x+6
I will right number 6 in anoher answer


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<h2>Hello!</h2>

The answer is:

The value of Tan(x) is:

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<h2>Why?</h2>

Since we want to know the value of Tan(x), we need to use the following formula:

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We already know the opposite side, but we need to find the value of the distance "XZ",so, we can calculate it using the Pythagorean Theorem since it's a right triangle.

Let be:

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a^{2}=b^{2}+c^{2}\\ \\25^{2}=7^{2}+c^{2} \\\\c^{2}=625-49\\\\c=\sqrt{576}=24

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Hence, we have that the value of Tan(x) is:

\frac{7}{24}

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