Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
0 = Surface level
Beneath means subtraction.
0 - 96 = -96
Climbs means addition.
-96 + 49 = -47
The scuba diver is -47 feet beneath the surface of the lake.
Answer:
63.5
Step-by-step explanation:
using soh-cah-toa, you can determine that the x and the value given are sin(theta). Sin is opposite over hyp.
thus,
once you solve that you get the angle x equals to 63.4746 which can be rounded to 63.5°
hope this helps!
