Answer with Explanation:
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent . Represent parallel lines.
1) 8x + y + 4 = 0
y = -8x - 4
If we solve equation 8x + y + 4 = 0 for y, we get
y = -8x -4
So, both equations are same. That means both lines are same. So infinite many solutions.
System is consistent
2) Both line slope are same and parallel to each other.
So, no solution
System is inconsistent.
3) Both equation represent the same line. So, infinite many solution.
System is consistent.
4) Both lines are intersect at a point.
Intersection point is (7,0).
5) Both lines are parallel. So, no solution.
System is inconsistent.
The r-value, or common ratio, can be calculated by dividing any two consecutive terms in a geometric sequence.
I think the answer is 160, I'm not completely sure. Anyway, have a good day!
Answer:
38.28cm²
Step-by-step explanation:
The area of the figure can be determined by expression the figure as two shapes.
A semicircle and trapezium;
Area of shape = Area of semicircle + Area of trapezium
Now;
Area of semicircle = 
Where r is the radius, which is 
= 2cm;
Area of semicircle = 
= 6.28cm²
Area of trapezium;
= 
a and b are the base length = 6cm and 10cm
h is the height = 4cm
Input the parameters and solve;
= 
= 32cm²
The area of the shape = 6.28cm² + 32cm² = 38.28cm²
Answer:
The answer is 4th Choice
Step-by-step explanation:
