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Papessa [141]
4 years ago
11

Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?

Mathematics
1 answer:
shusha [124]4 years ago
8 0
Refer to the diagram shown below.
Define two positions on each line as A (x₁, y₁) and B(x₂, y₂).
Then the slope is
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Horizontal line:
Define A (0, 1) and B (1,1).
The slope is
m= \frac{1-1}{1-0}=0

Vertical line:
Define A( (1,0) and B(1,1).
The slope is
m= \frac{1-0}{1-1}= \frac{1}{0}  (undefined)

You might be interested in
What value of k will make this relationship NOT a function?
devlian [24]

Answer:

the correct answer is b.

Step-by-step explanation:

it is b because if you plug in -7, two of the x-values will have -7 making the x-values the same and in order to be a function all x-values have to be different.

6 0
3 years ago
Explain how you could convert 152 cups to gallons
sasho [114]
If there are two cups in a pint, two pints in a quart, and four quarts in a gallon that means that there are 16 cups in a gallon. then, in order to convert, all you do is divide 152/16. when you divide this out, you get 9.5 gallons
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B3%7D%20-%203x%20%20%7B%7D%5E%7B2%7D%20%20%2B%20%202x%20%3D%20336" id="TexFormu
mash [69]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

x³ - 3x² + 2x - 336 = 0

Find one factor of the polynomial

That's

x - 8

because when its value is equated to zero substituted into the polynomial will give you zero

Factorize x - 8 out

We have

(x - 8) ( x² + 5x + 42) = 0

x - 8 = 0

x = 8

x² + 5x + 42 = 0

Since the roots of this quadratic equation are complex and are not real numbers

<h3>x = 8</h3>

Hope this helps you

8 0
3 years ago
A set of equations is given below:
Elza [17]

y=2x+6

y=2x+2

Solve y=2x+6 for y

Substitute 2x+6 for y in y=2x+2

y=2x+2

2x+6=2x+2

Add -2x to both sides

2x+6-2x= 2x+2-2x

6=2

Add -6 to both sides

6-6=2-6

0=-4

No Solution

4 0
4 years ago
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t
ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0
3 years ago
Read 2 more answers
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