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.
Answer:
fhvb4bhfbrhjbf57428526t825
Step-by-step explanation:
Answer:
-5.7n + 11.3
Step-by-step explanation:
3.3 - 3.7n - 2n + 8 = -3.7n - 2n + 3.3 + 8 = -5.7n + 11.3
Answer:
0
Step-by-step explanation:
Combine like terms, perform the operations with the coefficients of the variable, then write the variable.
10r - 5r + 3r - 8r
= 5r + 3r - 8r
= 8r - 8r
= 0
Answer: Independent event
Step-by-step explanation:
When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.
For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. The probability of picking the cards is not affected by each other since it is put back.