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: b=9
Step-by-step explanation: To find the slope we use: y2-y1/x2-x1
Which would then be: 5-b/-2-7= 5-b/-9
Then we have to find a number for b that would give us -4 as the numerator. That number would be 9
This would give us 4/9 which is the slope we already had.
Answer:
11) to know the 20% of 70$ we need to 70÷100×20 = 14 now the sale price will ne 70-14$ = 56$
12) same 20% of 92= 92÷100×20= 18.4 $ so now original price= 92+18.4 = 110.4
13) same 40% of 30$ = 30÷100×40 = 12$ now selling price = 30-12$= 18$
It will be 3a+ 4b^2 =50 that’s what I get at least
