Answer:
Step-by-step explanation:
The given sequence is
Assume that the pattern continues as indicated, the we need to find an explicit formula for the above sequence.
From the given sequence it is clear that all odd terms are 12 and all odd terms are 0.
Half of 12 is 6.
We know that,
So, the required formula is
Therefore,
.
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°)
Answer:
No solution
Step-by-step explanation:
When put in a graphing calculator, the lines are parallel and will never intersect, therefore there is no solution.
I would easily recommend to convert these to decimals. If you don't know how you should search it up or ask a teacher/friend. Convert 2 3/4 to .75, and then 2 1/2 is 2.50. Add 2.75 twice because he is making 2 dozen each (and a half) equals 11. Then multiply the 2.75 by .50 (6 muffins). That is 1.375. Add 11 and 1.375 equals 12.375. I'm not 100 percent sure this is correct but I hope it helps. :)
Answer:
4
Step-by-step explanation: