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:
Your answer is B
Step-by-step explanation:
First we have to find the Y intercept, which is -2.
Then you have to find the slope. Rise/Run
If you count up 5 and left 2 you get your next point. Meaning that 5/-2 is your slope.
this is a learning help website? tell me if i am wrong
Answer:
$2.16 per pound
Step-by-step explanation:
First, you would need to divide the price by the amount
$12.96 / 6 lbs = $2.16 per pound
That is the unit price
Answer:
money saved by james = 30/2 = 15
equation used
money with James = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
Step-by-step explanation:
Let money saved by sister be x
given
James has saved half the amount of money as his sister has saved.
Money saved by James = x/2
Total money saved by both of them = x + x/2
If they both save 30 more
Then
money with sister = x + 30
money with james = x/2 + 30
given that If they both save 30 more, james will have saved 3/4 as much as her sister
thus,
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
=> 4(x+30*2) /2 = 3x+90
=> 2x + 120 = 3x + 90
=> 3x-2x = 120-90
=> x = 30
Thus,
money saved by james = 30/2 = 15
equation used
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
