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sp2606 [1]
3 years ago
12

Section 1 - Topic 9 Parallel and Perpendicular Lines - Part 2 (please help)

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

9514 1404 393

Answer:

  1. y = -1/7x
  2. y = 2x -7

Step-by-step explanation:

1. The slope of the given line is the x-coefficient, 7. The slope of the perpendicular line is the negative reciprocal of this: -1/7. Since the line goes through the origin, the y-intercept is zero.

  y = -1/7x

__

2. The first part of this problem is to find the solution to the given system of equations. We can substitute for x to do that:

  3(5 -y)-2y = 10

  15 -5y = 10 . . . simplify

  -3 +y = -2 . . . . divide by -2

  y = 1, x = 4 . . . add 3 to find y; subtract y from 5 to find x

__

The second part of this problem requires we note the slope of the parallel line. It is the x-coefficient, 2. The y-intercept can be found from ...

  b = y -mx = 1 -2(4) = -7

So, the desired line in y=mx+b form is ...

  y = 2x -7

_____

The first attachment shows the perpendicular lines of problem 1.

The second attachment shows the parallel lines of problem 2.

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4. A salesman has a basic salary and, in addition, recelves a commission which is a fixed percentage of his sales volume, when h
vekshin1

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

400 = 1000m + b  (1)

Also:

300 = 500m + b  (2)

Hence:

m = 0.2 = 20%, b = $200

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

Find out more on equation at: brainly.com/question/2972832

8 0
2 years ago
|14+x|-5=k solve for k​
guajiro [1.7K]

Answer:

k=|14+x|-5

Step-by-step explanation:

just rewrite the equation as k=|14+x|-5

6 0
3 years ago
5x+3y=9 in standard form
tamaranim1 [39]
The standard for is Y=-5/3x +3
8 0
3 years ago
Whoever responds first will get marked best!!!!!The Garcia family is driving from 3,272 miles from San Diego, CA ot Bar Harbor,
mojhsa [17]

Answer:

8

Step-by-step explanation:

We know that in 5 days they have travelled 2045 miles. This means that their per day average for travel is 2045/5=409 miles per day.

Now the distance left is 3272-2045=1227 miles.

And if we divide the average miles with the miles left, it gives us= 1227/409

=3

So, the total time taken for travel will be= 5+3=8 days

I guess this is the way to do it.

8 0
2 years ago
Read 2 more answers
A sandbox has a perimeter of 21 1/2 feet. If the length is 5 1/4 feet, what is the area of the sand box?
LiRa [457]
The perimeter of a rectangle is twice the sum of length and width, so the sum of length and width is half the perimeter, 10 3/4 ft.

The width will be the difference between this and the length, hence 5 1/2 ft.

The area is the product of length and width.
  A = length×width
  A = (5.25 ft)×(5.5 ft) = 28.875 ft²

The area of the sandbox is 28 7/8 ft².
4 0
3 years ago
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