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Brut [27]
4 years ago
5

Welp, I need help, I don't understand at all

Mathematics
1 answer:
diamong [38]4 years ago
6 0
Follow B.O.D.M.A.S. Brackets/parentheses, Orders/exponents, Multiplication/division, Addition/subtraction, moving from left to right.
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Please help me thanks!
Sliva [168]

Answer: See the screenshot below.

Explanation:

We'll be using these trig functions

  • sine = opposite/hypotenuse
  • cosine = adjacent/hypotenuse
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The inverse of those help us find the angle. Notation like arcsine is the same as inverse sine denoted as \sin^{-1} on many calculators.

The decimal results are approximate.

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2 years ago
Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2,
andrezito [222]

Answer:

y = 9

Step-by-step explanation:

Calculate the slope m of line k using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)

m = \frac{y-8}{2-5} = \frac{y-8}{-3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}

The slope of line l is m = 3, thus slope of line k is

m = - \frac{1}{3}

Equating the 2 slopes for line k

\frac{y-8}{-3} = - \frac{1}{3} ( multiply both sides by - 3 )

y - 8 = 1 ( add 8 to both sides )

y = 9

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