9514 1404 393
Answer:
2x +y = -2
Step-by-step explanation:
The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.
The slope of the line through the given points is ...
m = (y2 -y1)/(x2 -x1)
= (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
The slope of the required bisector is then ...
m = -1/(1/2) = -2
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The midpoint of the given segment is ...
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
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Then the point-slope form of the equation of the bisector is ...
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . . standard form equation
Total number of people in the sample = 193 + 127 + 96 = 416
Probability of picking 23-30 year old = 92 /416 = 0.2212 ( not including the people who smoke)
Number of people who smoke = 60+35+23 = 118 people
Prob(someone who smokes) = 118/416 = 0.2837
So required probability = 0.2837 + 0.2212 = 0.505 (answer)
- Let the smaller number be x and the bigger number be y.
- Therefore, 3x = 2y
- Therefore, the smaller number = 30 - 18 = 12
<u>Answers:</u>
<u>Answers:The smaller number is 12.</u>
<u>Answers:The smaller number is 12.The bigger number is 18.</u>
Hope you could understand.
If you have any query, feel free to ask
Answer:
x=1/2, y=4
Step-by-step explanation:
Double both sides of the top equation:
4x+6y=26
Now subtract boths sides of the second one from the first one:
(4x+6y) - (4x-y) = 26 - (-2)
7y = 28
so y = 4
4x-y=-2 so 4x-4=-2
4x=2
x=1/2
46.6 feet
Step-by-step explanation:
P = 2ℓ + 2w
P = 2(ℓ + w)
P = 2(15.5 + 7.8)
P = 2(23.3)
P = 46.6 feet
