Summing to zero means the two numbers are additive inverses, i.e. negatives of each other. We choose the pair of negations:
Answer: -3, 3
Answer:
2 mph
Step-by-step explanation:
time = distance / speed
Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the <em>upstream time</em> is ...
... 12/(4c) = 3/c.
Likewise, the downstream rate is (5c +c) = 6c, and the <em>downstream time</em> is ...
... 12/(6c) = 2/c.
The <em>total time</em> is the sum of upstream and downstream times:
... 3/c +2/c = 2.5
... 5/c = 2.5 . . . . . . combine terms
... 5/2.5 = c = 2 . . . multiply by c/2.5
Complete Question:
Convert 3x-y+2=0 in rectangle form to polar form
Answer:
r ( 3cosθ - sinθ) = -2
Step-by-step explanation:
The equation so given is already in rectangular form, the task is to convert it to polar form.
3x - y + 2 = 0
To transform an equation from the rectangular to the polar coordinate:
x = r cosθ
y = r sinθ
Substitute the representations for x and y into the given equation:
3(r cosθ) - (r sinθ) + 2 = 0
3rcosθ - rsinθ = -2
The polar representation of the equation then becomes:
r ( 3cosθ - sinθ) = -2
