Answer:
2rcosθ+3rsinθ=6
Step-by-step explanation:
x=rcosθ
y=rsinθ
2rcosθ+3rsinθ=6
<span>We are going to define two equations where b means bagels and m will be muffins,
First equation: 10*b + 4*m = 13
Second equation: 5*b + 8*m = 14
From the second equation, we can isolate b:
b = (14 - 8*m)/5
In the second equation
10*(14 - 8*m)/5 + 4*m = 13
2*(14 - 8*m) + 4*m = 13
28 - 16*m + 4*m = 13
28 -13 = 16*m - 4*m
15 = 12*m
m = 15/12 = 1.25
Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8
So one bagel costs $0.8 and one muffin $1.25</span>
If sum of numbers (a) +(b) is 1419 and
(a) and (b) are <span>neighbors , whe have:
a + b = 1419 and b-a = 1;
<=> </span>a + b = 1419 and <span>a = b-1 ;
so we have b-1 + b = 1419 <=> 2b = 1420 <=> b=710 and a = 709
Answer: 710 and 709
</span>
The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)
Here r=7csc(θ)
so
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(<span>θ)
y=7csc(</span>θ)*sin(θ)=7sin(θ)/sin(<span>θ) = 7
therefore the rectangular coordinates are (7cot(</span><span>θ), 7)</span>
