If two equations are graphed, how can you find the solution to the system of equations?
1 answer:
Answer:
If the lines intersect, the System of equations has One Solution.
The point of intersection between the lines is the solution of the System of equations.
Step-by-step explanation:
By definition, given a System of Linear equations, if the lines intersect its means that that System of equations has One Solution.
Then, the point of intersection between the lines is the solution of the System of equations.
Observe the graph attached in the exercise.
You can notice that the are two lines which are intersecting each other at a point.
In this case, you can identify that the intersection between those lines are at the following point:
Where:
(Observe the picture attached)
That is the solution of the System of equations.
You might be interested in
Answer:
The man will take 64 seconds to reach to the south shore of the frozen pond.
Step-by-step explanation:
Given:
Weight of the man = 748 N Mass of the man, =
=
kg
Radius of the pond = 4 m
Mass of the textbook = 1.2 kg
Velocity at which the textbook is thrown = 4 ms^1
We have to find the velocity of the man after the throw.
Let the velocity is .
Now using law of conservation of momentum we can find the value.
Considering
And initial velocity of both the man and book i.e
So,
⇒
⇒ Plugging the values.
⇒
⇒
⇒ ms^-1
Here the negative velocity is meant for opposite direction of the throw.
Numerically we will write,
With this velocity the man will move towards south.
We have to calculate the time taken by the man to move to its south shore.
And we know
Let the time taken be and
and
then,
Then
⇒
⇒ Plugging the values.
⇒
⇒ sec
The man will take 64 seconds to reach to the south shore of the frozen pond (circular).