Answer:
a. Parallel
b. Not parallel
Step-by-step explanation:
Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.
a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3
m = 2 m= 2
The slopes are the same so these are parallel lines.
b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2
m = -3 m= 1/3
The slopes are different so this is not parallel.
Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.
The problem ask to calculate the initial speed of the sled that was shove up a frictionless 28 degree incline and reaches a maximum vertical height of 1.35 m than it started and the initial speed of the sled is 5.14 m/s. I hope you are satisified with my answer
Answer:
-0.333, -1/7, 1/8
Step-by-step explanation:
1/8 is the greatest because it is a positive number while the other two numbers are negative.
-0.333 or -1/3 is smaller than -1/7.
1) a. x = number of cars
b. x - 12
2) a. x = number of packages
b. 16 + 1/2x
3) a. x = number of coins
b. 1/2x - 6
4) 17 + x = 78
Subtract 17 from each side.
x = 61
5) x - 33 = 78
Add 33 to each side.
x = 111
6) x * 84 = 327.6
Divide each side by 84
x = 3.9
7) 1333/8.6 = 155
The speed was 155mph.
8) 2475/110 = 22.5
The trip took 22 and a half hours. (Or "The trip took 22.5 hours."
Answer:
The Answer is D - $34.19
Step-by-step explanation:
Have a nice day.
