Draw a small open circle above the number 2 and extend the line
Answer: See the screenshot below.
Explanation:
We'll be using these trig functions
- sine = opposite/hypotenuse
- cosine = adjacent/hypotenuse
- tangent = opposite/adjacent
The inverse of those help us find the angle. Notation like arcsine is the same as inverse sine denoted as
on many calculators.
The decimal results are approximate.
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 =
= 
Given a line with slope m then the slope of a line perpendicular to it is
= - 
The slope of line l is m = 3, thus slope of line k is
m = - 
Equating the 2 slopes for line k
= -
( multiply both sides by - 3 )
y - 8 = 1 ( add 8 to both sides )
y = 9
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