Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
(-2)(-5)(-7)
(10)(-7)
-70
The product is -70
Answer:
47.4%
Step-by-step explanation:
The total amount Louise spent on Frappuccinos was 4×$4.50 = $18. The fraction that is of the total is ...
Fraps/Total = $18/$38 = 9/19
That can be converted to a percentage by multiplying by 100%:
9/19 = (9/19)×100% ≈ 47.4%
Louise spent 47.4% of the $38 on Frappuccinos.
_____
<em>Additional comment</em>
The decimal equivalent of 9/19 is a repeating decimal with an 18-digit repeat.
Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:
Given the following points:
and 
You can identify that:
Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between and is:
