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3 years ago

It would be great if i can get some help. Thank you. Include explanation please

Mathematics

1 answer:

NISA [10]3 years ago

7 0

We're given two sides and the included angle and asked to find the third side. That's the Law of Cosines.

$c^2 = a^2 + b^2 - 2 a b \cos C$

$c = \sqrt{15^2 + 20^2 - 2 (15)(20) \cos 50^\circ} \approx 15.5 \textrm{ feet}$

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enot [183]

Answer:

$\large\boxed{y=\dfrac{1}{2}x-3}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, -2) and (4, -1).

Substitute:

$m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}$

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

$-2=\dfrac{1}{2}(2)+b$

$-2=1+b$ subtract 1 from both sides

$-3=b\to b=-3$

Finally:

$y=\dfrac{1}{2}x-3$

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