Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
This is the equation of the given line in slope intercept form
The slope is 
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
The slope of the line parallel to to the given line is
step 3
Find the equation of the line in point slope form
we have
substitute
step 4
Convert to slope intercept form
isolate the variable y
180
Because 120 divided by 2 is 60.
And 120 + 60 is 180
Answer: 3/55
Step-by-step explanation:
From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.
If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.
Therefore, the probability he will win a prize on both picks will be:
= 3/11 × 2/10
= 6/110
= 3/55
Answer:
1) √10 units
A=(-1, 0) let us assume (x1, y1)
B=(2, 1) let us assume (x2,y2)
distance= √(x2-x1)^2 + (y2-y1)^2
=√(2+1)^2 + ( 1-0)^2
=√3^2 + 1^2
= √10 units
