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ehidna [41]
3 years ago
15

Compare the two dot plots, and answer the following questions.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0
The questions compar Bc it’s for an answer
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Find an equation for the line with the given properties. Express the equation in​ slope-intercept form.
Zanzabum

Answer:

or, y + 4 = m (x - 7) + c is the given equation.

Step-by-step explanation:

Here, the slope of the equation = -5

⇒m = -5

The given point is (7, -4)

⇒(x_{0}, y_{0}) = (7,-4)

Now, the general form of the equation is :

y - y_{0}  = m(x - x_{0}) + c  : c = arbitrary constant

So, the given equation becomes

y - (-4)  = m(x - 7) + c

or, y+ 4 = m (x - 7) + c is the given equation.

Here, m = the slope of the equation.

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3 years ago
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3 years ago
Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
3 years ago
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