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3 years ago

Find the equation of the line that is perpendicular to y=1/6x+3

Mathematics

1 answer:

Natalka [10]3 years ago

6 0

Answer:

y = -6x + 6

Step-by-step explanation:

The general equation of a line is

y = mx + b

where m is the slope and b is the y-intercept

The slope in the first equation is 1/6

Mathematically, when two lines are perpendicular, the product of their slopes is -1

1/6 * m2 = -1

m2 = -6

So we have the equation as;

y-y1 = m(x-x1)

y-23 = -6(x + 3)

y = -6x -18 +23

y = -6x + 6

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dexar [7]

$235, I believe. 240-5=235.

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4 years ago

Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?

nexus9112 [7]

Given:

Last year Lira earned $12,000 less than her husband Todd.

Together they earned $75,000.

To find:

The amount earned by Lira in last year.

Solution:

Let x be the amount earned by Lira's husband inn last year.

Last year Lira earned $12,000 less than her husband Todd.

Amount earned by Lira = $x-12000$

Total amount earned by Lira and her husband = $x+(x-12000)$

= $2x-12000$

Together they earned $75,000.

$2x-12000=75000$

$2x=75000+12000$

$2x=87000$

$x=\dfrac{87000}{2}$

$x=43500$

Now,

Amount earned by Lira = $x-12000$

= $43500-12000$

= $31500$

Therefore, the amount earned by Lira in last year is $31500.

6 0

3 years ago

4. Use the graph for the following:<br><br> Please answer<br> Picture is included

sergiy2304 [10]

Answer:

(a) 9

(b) -2

Step-by-step explanation:

it is very important to start by finding the equation of the line then substitute in some values.

6 0

1 year ago

40. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in

Harrizon [31]

Answer:

a) 56.67% probability that the student is a woman

b) 16.67% probability that the student received an A

c) 63.33% probability that the student is a woman or received an A.

d) 83.33% probability that the student did not receive an A.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

30 students

13 men

17 women

2 men that got an A and 11 men that did not get an A.

3 women that got an A and 14 women that did not get an A.

a. Find the probability that the student is a woman.

30 students, of which 17 are women.

$P = \frac{17}{30} = 0.5667$

56.67% probability that the student is a woman

b. Find the probability that the student received an A.

30 students, of which 5 received an A

$P = \frac{5}{30} = 0.1667$

16.67% probability that the student received an A

c. Find the probability that the student is a woman or received an A.

30 students, of which 17 are women and 2 are men who received an A. So

$P = \frac{19}{30} = 0.6333$

63.33% probability that the student is a woman or received an A.

d. Find the probability that the student did not receive an A.

30 students, of which 25 did not receive an A.

$P = \frac{25}{30} = 0.8333$

83.33% probability that the student did not receive an A.

7 0

3 years ago

At the café Patty can choose to earn $12 per hour plus $100 starting bonus or $16 per hour with no starting bonus after how many

Alexxx [7]

Answer:

25 hours

Step-by-step explanation:

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3 0

3 years ago