Two lines, R and M, are represented by the following equations:
2 answers:
Answer: The correct option is (C) infinitely many solutions.
Step-by-step explanation: The representations of two lines 'R' and 'M' are given by
We are to select the TRUE statement about the solution to the above set of equations.
Multiplying equation (ii) by 2, we have
From equations (i) and (iii), we can conclude that
the equations for line 'R' and line 'M' are same, and hence their graph is the same straight line as shown in the attached figure.
Therefore, each point on the lines is a solution to the given system, because both the lines intersect at each and every point that lies on the lines.
For example, (0, 9), (9, 0), (4, 5), etc. are solutions to the system.
Thus, there are infinitely many solutions.
Option (C) is correct.
You might be interested in
The minimum or maximum value of a quantity are what are used to maximize or minimize a function.
<em>The method for finding these minimum or maximum value is linear programming.</em>
<em />
Take for instance, the following parameters:
Subject to:
The above is an illustration of a linear programming.
It is useful in the following areas:
- To formulate real life problems
- To get an optimal solution
- To maximize profit and minimize cost
- Etc
Read more about linear programming at:
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to
where
(h,k) is the center
r is the radius
we have
substitute