Answer:
x = 7
Step-by-step explanation:
In an isosceles triangle, both legs are always congruent. The length of one leg is given, and the other leg has to be the same. The perimeter of this triangle can be written as:
With this equation, all you need to do is solve for x.
Answer:
Step-by-step explanation:
Answer:
Part A:
Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.
Part B:
(3 ,5 ) is the solution to the equations of lines A and B.
Step-by-step explanation:
Part A:
We are required to determine the number of solutions that the pair of equations for lines A and B have. To do this, we shall determine the slope of each line;
A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. The slope is defined as;
(change in y) / (change in x)
The slope of line A is thus;
(2 - 6)/(6 - 2) = -1
A straight line B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
On the other hand, the slope of line B is;
(6 - 3) / (4.5 - 0) = 2/3
Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.
Part B:
What is the solution to the equations of lines A and B?
We first need to determine the equation of each line;
Line A, the slope was found to be -1 and the line passes through (2,6)
The equation of the line in slope intercept form is;
y = -x + c
6 = -2 + c
c = 8
y = -x + 8
On the other hand, the slope of line B was found to be 2/3 and the line passes through (0,3). Therefore, we have;
y = 2/3x + c
3 = 2/3 (0) + c
c= 3
y = (2/3)x + 3
The graph of these two lines is shown in the attachment below. The lines intersect at (3 ,5 ) which is the solution to the equations of lines A and B.
The graphical solution to a system of linear equations is given by the point of intersection of the two lines representing each equation.
