Consider the line segment PQ with endpoints P(- 3, - 2) and Q(2, 3). Which point divides the line segment directed from P to Q i
n the ratio of 3:2?
1 answer:
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Answer:
calories
Step-by-step explanation:
Given: The racer moves at miles per hour expends energy at a rate of
calories per hour.
To find: Energy in calories, required to complete a marathon race miles at this pace.
Solution: We have,
The racer moves at miles per hour.
The racer expends energy at a rate of calories per hour.
So, energy expended while moving miles
calories.
Now, energy expended while moving mile
calories.
So, energy expended while moving miles
calories.
Hence, calories of energy is required to complete a marathon race
miles at this pace.
1- Solution using graphs:
Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:
The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)
Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:
The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)