Answer: 30
Step-by-step explanation:
Answer:
animania-1.12.2-1.6.2.jar
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
Call Anita's score
!["y"](https://tex.z-dn.net/?f=%22y%22)
and Joelle's score
!["x"](https://tex.z-dn.net/?f=%22x%22)
.
1) "<span>their combined total score for one game was 425 points"
</span>Therefore
![x+y=425](https://tex.z-dn.net/?f=x%2By%3D425)
2)"Anita’s score was 40 less than twice Joelle’s."
Therefore
![y=2x-40](https://tex.z-dn.net/?f=y%3D2x-40)
Substitute:
![x+2x-40=425](https://tex.z-dn.net/?f=x%2B2x-40%3D425)
Solve:
![3x=465](https://tex.z-dn.net/?f=3x%3D465)
![x=155](https://tex.z-dn.net/?f=x%3D155)
Backsubstitute:
![y=2x-40](https://tex.z-dn.net/?f=y%3D2x-40)
![y=2(155)-40](https://tex.z-dn.net/?f=y%3D2%28155%29-40)