Which is perpendicular to the line y=-3x-8y
2 answers:
Answer:
3
Step-by-step explanation:
Find the Slope of a Perpendicular Line
y = −3x − 8y
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Move all terms containing y to the left side of the equation.
9y = −3x
Divide each term by 9 and simplify.
y = −(x/3)
Write in y = mx + b form.
y = -(1/3)x
Using the slope-intercept form, the slope is − (1/3)
m = -(1/3)
The equation of a perpendicular line to y = − (1/3)x must have a slope that is the negative reciprocal of the original slope.
perpendicular =
Simplify the result.
perpendicular = 3
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Answer:
0.5798 or 57.98%
Step-by-step explanation:
The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).
Therefore, the probability that two particular people A and B will be on the same team is:
The probability is 0.5798 or 57.98%.