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taurus [48]
3 years ago
15

Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b

so ur perpendicular equation is : y = -1/3x + 3


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Answer:

1) Probability of randomly selecting a diamond or club = \frac{1}{2}

2)Probability of randomly selecting a diamond or club or heart = \frac{3}{4}

3) P(selecting a five or club) = \frac{4}{13}

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So, P(E) =  \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes  = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) = \frac{26}{52}  = \frac{1}{2}

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of   clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) = \frac{39}{52}  = \frac{3}{4}

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck  + Number of clubs

=  3 +  13  = 16

⇒P(selecting a five or club) = \frac{16}{52}  = \frac{4}{13}

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Answer:

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Step-by-step explanation:

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