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Anuta_ua [19.1K]
3 years ago
9

Find an equation of the line. Write the equation in function notation. Through (6,-1); perpendicular to 9y=x-18

Mathematics
1 answer:
docker41 [41]3 years ago
8 0
The first step is to find the slope of the given line by putting its equation in the form y = mx + b.
9y = x - 18
Dividing both sides by 9, gives:
y = (x/9) - 2
The slope of the given line is therefore 1/9.
Let the slope of the perpendicular line be m.
The product of the two slopes must equal -1 for the lines to be perpendicular.
m\times\frac{1}{9}=-1
Therefore m = -9.
At this stage the equation of the required line is y = -9x + b.
Now we need to find the value of b.
Plugging the given values of a point on the line (6, -1) into the equation gives:
-1 = -54 + b; from which b = 53.
The required equation for the line is:
f(x) = -9x + 53.
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An auto insurance company has 10,000 policyholders. Each policy is defined as: young or old male or female; and married or singl
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Answer:

880

Step-by-step explanation:

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Total = 10,000

Young = 3,000

Old = 7,000 (not young defined as 10,000 - 3,000)

Male = 4,600

Female = 5,400

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Married Males = 3,010

Married Females = 7,000 - 3,010 = 2,990

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6 0
3 years ago
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choli [55]
First slot, 11 options
2nd is 10 (1 less than 1st slot)
3rd is 9
4th is 8


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Answer:

5

Step-by-step explanation:

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