Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
Answer:
Step-by-step explanation:
Answer:
10 units
Step-by-step explanation:
To find the length we can use the formula
d = sqrt( (y2-y1)^2 + (x2-x1)^2)
We have the two points (-5,5) and (3,-1)
d = sqrt( (-1-5)^2 + (3--5)^2)
d = sqrt( (-6)^2 + (3+5)^2)
d = sqrt( (-6)^2 + (8)^2)
d = sqrt( 36 + 64)
d = sqrt(100)
d = 10
It'll be 639.500 or just 639.5
Answer:
Step-by-step explanation:
Solve for the value of 
:
-Take 
and subtract it from 
:
-Subtract both sides and convert 
to a fraction:
Since both 
and 
have the same denominator, then you would subtract the numerator:
-Multiply both sides by 
, which is the reciprocal of 
:
-Divide 
by 
:
So, therefore, the value of is 
.
