1. A
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.
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2. C
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution because it's the point that satisfies each equation in the system.
Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.
The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.
Answer:
The answer is 450
Step-by-step explanation:
I got this equation:
x- the speed in which the turtle walks
5x+5(x+10)=4.5x+150+x*(150)/(x+10)
I got x=40, x=-50/11, but you can't have negative speed, so the turtle's speed is 40 meters per hour. After that, I just plugged in x onto one of the expressions and got 450.
Answer:
D: x = 2
Step-by-step explanation:
Go down the multiple choices answers and plug each value in for x until the inequality is true:
A:
1/4(32) < 8
1/4 × 32/1 < 8
32/4 < 8
8 < 8
8 is not less than 8 so this is false (8 = 8).
B:
1/4(35) < 8
35/4 < 8
8 3/4 < 8
8 3/4 is not less than 8 so this is false (8 3/4 > 8).
C:
1/4(34) < 8
34/4 < 8
8 2/4 < 8
8 2/4 is not less than 8 so this is false (8 2/4 > 8).
D:
1/4(2) < 8
2/4 < 8
2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).
Answer:
x=10,−10
simple, it could be negative OR positive :D
