Look at the image below where I labeled the sides
To solve this you must use Pythagorean theorem:
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 4
b = 6
c = unknown
^^^Plug these numbers into the theorem
simplify
16 + 36 =
52 =
To remove the square from x take the square root of both sides to get you...
√52 = x
^^^Unsimplified radical
2√13
^^^Simplified radical
7.21
^^^Rounded to hundedths
Hope this helped!
~Just a girl in love with Shawn Mendes
If you're using the app, try seeing this answer through your browser: brainly.com/question/3166243——————————
Solve the trigonometric equation:

Make a substitution:

and the equation becomes

Rewrite conveniently
– t as
+ t – 2t, and then factor the left-hand side by grouping:

Factor out
2t + 1:

Substitute back for
t = cos x:

Therefore,

where
k is an integer.
Solution set:

I hope this helps. =)
Answer:
9:3;27:9;87:27
Step-by-step explanation:
The list goes on but hope that answers your question
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