Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
Answer:
- Asafa ran at a faster rate
Step-by-step explanation:
<u>Asafa's speed:</u>
- 0.75 km/ 6 min = 750 m/ 6 min = 125 m/min
<u>Jemaine's speed:</u>
- 3000 m / 30 min = 100 m/min
Asafa ran at faster rate as 125 m/min > 100 m/min
Answer:
8, 8x square root of 3
Step-by-step explanation:
16=2x
x=8
Hey, I’m pretty sure the answer is y=1/2x + 0.
To explain, we can plug the x value into the equation for all of the x values, and we will get our y value.
So the first one,
y=1/2(1) + 0 —> 1/2
The second one,
y=1/2(2) + 0 —> 1
And so forth, the rest of the equations will be correct. I hope that helps ! :D