Let V, be the rate in still water and let C = rate river current
If the boat is going :
upstream, its rate is V-C and if going
downstream, its rate is V+C,
But V = 5C, then
Upstream Rate: 5C - C = 4 C
Downstream rate: 5C+C = 6C
Time = distance/Rate, (or time = distance/speed) , then:
Upstream time 12/4C and
Downstream time: 12/.6C
Upstream time +downstream time:= 2h30 ' then:
12/4C + 12/.6C = 2.5 hours
3/C + 2/C = 5/2 (2.5 h = 5/2)
Reduce to same denominator :
5C = 10 and Rate of the current = 2 mi/h
the answer would be y = 2x + 1
Answer: All i know is you have to multiply all of those numbers because its area
Step-by-step explanation:
Answer:
1 or 2?
Step-by-step explanation:
Hello there.
First, assume the numbers
such that they satisties both affirmations:
- The sum of the squares of two numbers is
. - The product of the two numbers is
.
With these informations, we can set the following equations:

Multiply both sides of the second equation by a factor of
:

Make 

We can rewrite the expression on the left hand side using the binomial expansion in reverse:
, such that:

The square of a number is equal to
if and only if such number is equal to
, thus:

Substituting that information from
in
, we get:

Calculate the square root on both sides of the equation:

Once again with the information in
, we have that:

The set of solutions of that satisfies both affirmations is:

This is the set we were looking for.