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3 years ago

Write an equation in slope-intercept form for the line with slope −2/3 and y-intercept 2.

Mathematics

1 answer:

Damm [24]3 years ago

7 0

Answer:

$\huge\boxed{\sf y = -\frac{2}{3}x + 2 }$

Step-by-step explanation:

Slope = m = -2/3

y-intercept = b = 2

Slope-intercept equation/form:

y = mx + b

y = -2/3 x + 2

$\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>

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Each score in a set of data is multiplied by 3, and then 4 is subtracted from the result. If the original mean is 10 and the ori

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The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

According to the question,

Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.

First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.

Mean: 10*3 = 30

Standard deviation: 5*3 = 15

Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.

Applying change of origin in the above mean and standard deviation

Mean: 30 - 4 = 26

Standard deviation: Remains same = 15

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2 years ago

Find c.

Vinvika [58]

<h3>Answer: 0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

--------------------------

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

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