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.
Divide by 3 to get the rate per min
She types 54 words per minute
Answer:
63 feet.
Step-by-step explanation:
The total diameter of the circular garden is given by 5ft+ 10 ft + 5 ft= 20 feet
As the circumference of the circle = 2πr where r = radius obtained by dividing the diameter by 2. Here the diameter = 20 feet and r= d/2 = 20/2 = 10 feet
Putting the values in the circumference formula
Then C= 2(22/7) (10)= 62.85 feet
Rounding gives almost 63 feet .
Answer:
1: 105 degrees
2: 75 degrees
Step-by-step explanation:
2 is a corresponding angle with 75.
1 is supplementary so x+75 = 180
x=105
Let x= months
So 50x is the total amount he pays after x months. You went to add 100 to this because there's a fixed cost of 100 for the phone
So you have the expression 100+50x which is the amount he pays after x months
Since he has a limit of 300,
100+50x < 300
