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valina [46]
3 years ago
11

For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer: 3. 4\sqrt{13}            4. \sqrt{225}    

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

4\sqrt{13}

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64               64

   b^2 = 225

\sqrt{225}

 

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A line passes through the points (1, –6) and (4, 3).
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Answer:

y = 3x - 9

Step-by-step explanation:

We first need to find the slope (m)

m = \frac{y_2-y_1}{x_2-x_1} = \frac{3 - (-6)}{4-1} = \frac{9}{3} = 3

y = mx + b

y = 3x + b

(4, 3)

y = 3x + b

3 = 3(4) + b

3 = 12 + b

-12  -12

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(1, –6)

y = 3x + b

-6 = 3(1) + b

-6 = 3 + b

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-9 = b

y = 3x - 9

To check:  (1, –6)

y = 3x - 9

-6 = 3(1) - 9

-6 = 3 - 9

-6 = -6

Hope this helps!

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2 years ago
Find the Z scores that separate the middle 27% of the distribution from the area in the tails of the standard normal distributio
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