Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
3x + 2y = 4
2y = -3x + 4
Divide by 2
Solution: y = -3/2x + 2
x + 2y = -4
2y = -x - 4
Divide by 2
Solution: y = -1/2x - 2
Step-by-step explanation:
The top part is a cone. It's volume is:
V = ⅓ π r² h
where r is the radius (half the diameter) and h is the height.
The bottom part is a cylinder. It's volume is:
V = π r² h
where r is the radius (half the diameter) and h is the height.
The radius of the cone is 36/2 = 18 ft, and the height is 12 ft. So the volume is:
V = ⅓ π (18 ft)² (12 ft)
V = 4,071.5 ft³
The radius of the cylinder is 36/2 = 18 ft, and the height is 39 ft. So the volume is:
V = π (18 ft)² (39 ft)
V = 39,697.2 ft³
Therefore, the total volume is:
4,071.5 ft³ + 39,697.2 ft³ ≈ 43,769 ft³
Answer:
28-8-4x=0
x=5
5 days
Step-by-step explanation:
28-8=20 problems left
then 4 each day
Answer:
18.027756
Step-by-step explanation:
Pythagorean Theorem
10²+15²=c²
100+225=c²
325=c²
√325=c
c=18.027756
