Answer:
The rectangular coordinates of the point are (3/2 , √3/2)
Step-by-step explanation:
* Lets study how to change from polar form to rectangular coordinates
- To convert from polar form (r , Ф) to rectangular coordinates (x , y)
use these rules
# x = r cos Ф
# y = r sin Ф
* Now lets solve the problem
∵ The point in the rectangular coordinates is (√3 , π/6)
∴ r = √3 and Ф = π/6
- Lets find the x-coordinates
∵ x = r cos Ф
∵ r = √3
∵ Ф = π/6
∴ x = √3 cos π/6
∵ cos π/6 = √3/2
∴ x = √3 (√3/2) = 3/2
* The x-coordinate of the point is 3/2
- Lets find the y-coordinates
∵ y = r sin Ф
∵ r = √3
∵ Ф = π/6
∴ y = √3 sin π/6
∵ sin π/6 = 1/2
∴ y = √3 (1/2) = √3/2
* The y-coordinate of the point is √3/2
∴ The rectangular coordinates of the point are (3/2 , √3/2)
Answer:
1/3 is the simplified form for given expression.
Step-by-step explanation:
Given that:
=![\sqrt[-3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D)
By simplifying:
Radical sign will be removed as follows:
= 
For removing the "-" sign from power, base will be inverted:
= 
27 can also be written as 3 * 3 * 3 = 3^3
So,
= 
= 
By simplifying we get:
= 1/3
i hope it will help you!
Answer:
y=-7x -2
Step-by-step explanation:
use formula to find the equation when you know slope and a point
it is: y-y1 = m(x-x1)
plug in values
y-(-30) = -7(x-4)
y+30 = -7x + 28
- 30 from both sides
y = -7x -2
Answer:
mona is 10 and billy is 5 :)
Step-by-step explanation:
