All categories

3 years ago

Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.

Mathematics

1 answer:

dsp733 years ago

3 0

9514 1404 393

Answer:

A) 3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

-3y = x + c

Negating the y-coefficient gives ...

3y = x + c

Filling in the given point, we have ...

3(5) = -1 + c

16 = c

The equation of the perpendicular line can be written as ...

3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.

You might be interested in

Juarez Distribution Company conducted a time study of Martha Smith’s job as an installer. Using the observation chart, find her

Alex777 [14]

Average time on task 1 = $\frac{3.4+4.1+6.5+8.1}{4}=5.5$ seconds
Average time on task 2 = $\frac{3.5+4.3+6.8+8.3}{4}=5.7$ seconds
Average time on task 3 = $\frac{4.3+4.1+6.5+7.9}{4}=5.7$ seconds
Average time on task 4 = $\frac{2.9+4.6+6.6+7.1}{4} =5.3$ seconds
Average time on task 5 = $\frac{3.6+4.2+6.7+8.1}{4}=5.65$ seconds

4 0

3 years ago

complete each statement with the appropriate measurement or symbol. 48 c = (fill blank) qt , 96 oz (fill blank) 5 lb , 6 yd, 1 f

DochEvi [55]

Answer:

48 cub = 12 Qt

96 Oz > 5 lb

6 yd 1 ft = 9 ft

6 1/2 lb = 104 oz

Step-by-step explanation:

Use the below key formula to convert the units.

1 cub = 4 Quart

16 ounce = 1 lb

96 ounce = 6 lb

1 yd = 3 feet

6 yd 1 ft = 6*3 + 1 = 18 + 1 = 19 feet

Hope this will help you to understand.

Thank you.

6 0

3 years ago

The average salary for a construction worker is $29,160 per year. A veterinarian makes on average $84,460. If you consider the e

wel

Hey !

I am going to explain what I did to get the answer...

I multiplied $29,160 by 30 = $874,800
Then I multiplied $84,460 by 30 = $2,533,800

Then I subtracted the results = a difference of $1,659,000

So the answer to your question is, $1,659,000 is the difference.

I hope I was able to help you out :D <span />

5 0

3 years ago

Read 2 more answers

Do the ratios 4/16 and 1/2 form a proportion?

REY [17]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Amy class went the fair they saw 22 horses and 18 ponies they also saw 18 rabbits and 37 hares compare the the number of horses

Dima020 [189]