What is the equation of the graphed line written in standard form?
1 answer:
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Answer:
The probability that the sum of the dice is 3, is 3/16.
Step-by-step explanation:
It is given that two four-sided dice are rolled.
Total number of sides of each dice = 4
Possible values for each dice = 1,2,3,4
If two four-sided dice are rolled, then the total possible outcomes are
Total number of possible outcomes = 16
The sum of the dice is 3.
Total number of favorable outcomes = 3
The probability that the sum of the dice is 3.
Therefore the probability that the sum of the dice is 3, is 3/16.
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
Step-by-step explanation:
Two lines with slopes and
are parallel when
and are perpendicular when
Now determine the slope of all the lines
The line jk passes through the points
(-5,5) and (1,-5) so its slope is
To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope
5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3
Neither parallel nor perpendicular.
6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5
Neither parallel nor perpendicular.
5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3
This line is parallel
6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5
Since (-5/3)(3/5) = -1 this line is perpendicular.