The lengths of the sides of a triangle are 4,6 and 8 If the midpoints of the three sides are joined to form a second triangle, f
ind the perimeter of the second triangle
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope
The equation of the solid line in slope intercept form is equal to
we have
----> the y-intercept is the point (0,3)
substitute
therefore
The inequality is
step 2
Find the equation of the dashed line
The slope is given
From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have
substitute
therefore
The inequality is
because the shaded region is below the dashed line
therefore
The system of inequalities is
Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
