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3 years ago

Write an equation for the line that passes through the points (0, -2) and (-4, 0).

Mathematics

2 answers:

adoni [48]3 years ago

7 0

Answer:

y=-1/2x-2

Step-by-step explanation:

I dont think any of those options are the right one so thats the correct answer

tekilochka [14]3 years ago

5 0

Answer: y = -1/2x - 2

Step-by-step explanation:

To first write the equation, we need to find the slope and the y intercept and write it in the form y=mx +b

To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.

The y coordinates of the points are , 0 and -2

The x coordinates of the points are -4 and 0

0 - (-2) = 2

-4 -0 = -4

Slope: 2/-4 = -1/2

Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.

We will use the point (0,-2)

-2 = -1/2(0) + b

-2 = b

This means the equation will be y = -1/2x - 2

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Plz help!!!! If you can fast please do!!!!!!!!!!!!!

snow_lady [41]

All of the numbers in the shaded part of the line have two characteristics:

==> X >= 0

==> X <= 20

This can be written as a single inequality with x in the middle, but when I type it, Brainly won't accept the characters, and says there's an error.

Here it is in words:

0 (less than or equal to) x (less than or equal to) 20 .

3 0

3 years ago

A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15

Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

3 0

2 years ago

What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively

ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV) of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index = 49.7/340

Profitability index = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

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3 0

1 year ago

Vanessa is cutting 200 centimeter long pieces of string to attach to balloons how many pieces can she cut from 40 m of string.

Ainat [17]

200 cm is 2 m so 40m/2m = 20. Thus she will have 20 pieces

8 0

3 years ago

Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.

max2010maxim [7]

Answer:

(4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

4x -(2x-2) = 10

2x +2 = 10 . . . . simplify

x +1 = 5 . . . . . . .divide by 2

x = 4 . . . . . . . . . subtract 1

y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

(4x -y) +(y) = (10) +(2x -2)

4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

2x = 8 . . . . . . . . . subtract 2x

x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

(x, y) = (4, 6)

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

(4x -y) +2(y) = (10) +2(2x -2)

y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

6 = 2x -2 . . . substitute for y in the second equation

3 = x - 1 . . . divide by 2

x = 4 . . . . . add 1

(x, y) = (4, 6)

3 0

3 years ago