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Lelechka [254]
3 years ago
14

What is the equation of a line that is perpendicular to 2x+3y=9 and passes through the point (8,5)

Mathematics
2 answers:
pochemuha3 years ago
7 0
For
ax+by=c
slope=-a/b

perpendiculare lines have slopes that multiply to -1

so

2x+3y=9
slope=-2/3
-2/3 times what=-1
what=3/2


point slope form
the equation of a line that passes through the point (x1,y1) and the slope is m is
y-y1=m(x-x1)
slope=3/2
point i (8,5)

equation is
y-5=3/2(x-8)
converted to standard form
2y-10=3x-24
-3x+2y=-14
3x-2y=14
Ipatiy [6.2K]3 years ago
7 0
<span>2x+3y=9
3y = -2x + 9
y = -2/3x + 3
slope = -2/3 so </span><span>perpendicular slope = 3/2

</span><span><span>y - 5 = <span> 3</span>/<span>2 </span>(x - 8)
y - 5 =  <span>3</span>/<span>2</span>x -12</span><span> 
y = 3/2x - 12 + 5
</span><span>y = 3/2x - 7</span></span>
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In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If t
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Answer:

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Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

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