Answer:
x = -2
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define
</u>
6 - 9x = 5x - 9x + 16
<u>Step 2: Solve for </u><em><u>x
</u></em>
- Combine like terms: 6 - 9x = -4x + 16
- Add 9x on both sides: 6 = 5x + 16
- Subtract 16 on both sides: -10 = 5x
- Divide 5 on both sides: -2 = x
- Rewrite: x = -2
I think the answer would be -12 but let me know if its right or wrong
We know that
the relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
Θ = tan⁻¹ (y/x)
so
Part a) <span>(2, −2)---------> this point belong to the IV quadrant
</span>r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°
remember that the point belong to the IV quadrant
so
Θ=360-45-----> Θ=315°
the answer part A) is
(r,Θ)=(√8,315°)
Part b) (-1, 3)---------> this point belong to the II quadrant
r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°
remember that the point belong to the II quadrant
so
Θ=180-71.57-----> Θ=108.43°
the answer part B) is
(r,Θ)=(√10,108.43°)