Help!
1 answer:
You might be interested in
Answer:
is equidistant from
and
.
Step-by-step explanation:
Given that the point which is on the perpendicular bisector of the line segment having endpoints at
and
.
The given situation can be represented as the diagram as attached in the answer area.
Referring to the :
(As it is the perpendicular bisector)
(As it is the perpendicular bisector)
Also, the side is the common side.
Therefore by congruence,
As per the properties of congruent triangles:
Side = Side
and
are nothing but the distance of the point
from the end points
and
which are proved to be equal to each other.
Therefore, we can conclude that:
is equidistant from
and
.
Answer: The system of equations have many solutions and the correct options are A,B and D.
Explanation:
The given equations are,
..... (1)
.... (2)
Simplify the second equation.
Divide both sides by 3.
It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.
Test the points whether the point lies on the line or not.
Check for point A(6,-7).
LHS and RHS are equal, therefore the point A is the solution of the system of equations.
Check for point B(2,1).
LHS and RHS are equal, therefore the point B is the solution of the system of equations.
Check for point C(-2,-9).
LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.
Check for point D(-4,13).
LHS and RHS are equal, therefore the point D is the solution of the system of equations.
Therefore the options A,B and D are correct.