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iragen [17]
3 years ago
6

What is the equation of a line that is perpendicular to y=3x-2 and passes through the point (6 8) ?

Mathematics
1 answer:
Scrat [10]3 years ago
8 0
The result is a line perpendicular to y=3x-2
This line has the following equation: y =mx + b, where m = slope

Remember that the product of the slopes of two perpendicular lines is always = -1 (or in other term one is the reciprocal inverse of the other) so the
first slope = 3 and the sope perpendicular to 3 will be - 1/3.
Then the new equation is y = - 1/3(x) + b
How to calculate b? This line passes through (6, 8), that
means (x=6 and y=8) . Plug these values in y = -1/3 (x)+b:3
 8=(-1/3)(6) + b; 
8= - 2 + b and b = 10
Te final equation is y = - 1/3.x+10 (answer A)
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Answer:

See explaination

Step-by-step explanation:

Probability is the number of desired outcomes over the total outcomes.

1) You want to find Oranges, so that is your desired outcome:

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Now sum up all the fruits to get the total:

9+4+7+3+6 = 29

Therefore you have 4/29

2) Same idea, count the peaches and put it over total:

3/29

3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.

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= 13/29

4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.

So a plum is 6/29

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5) Same idea as what is used in problems 3 and 4, just a combination of the 2.

(4+3)/29

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Step-by-step explanation:


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