Answer:
Part A: one solution:
Part B: x = 3, y = 4.
Explanation:
1) Part A: how many solutions does the pair of equations for lines A and B have?
The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.
In this case, there are two straight lines, which intersect in one and only one point.
Hence, the system has one solution.
2) Part B: what is the solution to the equations of lines A and B?
The solution is the pair of coordinates of the intersection point. It is (3, 4).
Therefore, the solution is x = 3, y = 4.
Answer:
x=ym−4
Step-by-step explanation:
y=(4+x)m
Here we have one equation with three unknowns. This cannot be "solved". We can only express one variable in terms of the other two.
Let's isolate x.
Divide through by m
ym=4+x
x=ym−4
(I really hope this helps)
Let us convert this equation from standard to slope intercept form first.
5x+4y=8
4y=-5x+8
y=-5/4x+2
For the other line to be perpendicular it has to have an opposite reciprocal slope. That would be 4/5. This will make the equation for the new line "y=4/5x+b". We just need to find the y-intercept. Using the point given...
5=4/5(10)+b
5=8+b
b=-3
Answer: y=4/5x-3
Answer:
The dimensions of the box is 2 units.
Step-by-step explanation:
Volume of cube, V = 8 cubic units
Let the length of the side is a.
So,
The volume of the cube is
So, the dimensions of the box is 2 units.
