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Papessa [141]
3 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]3 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)

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describe the relationship between n and 4 that will make the value of the expression 7× n/4 greater than 7
Norma-Jean [14]
So set up an equation!

7* n/4 > 7

So trying to get the variable alone...

n/4 > (7/7) aka 1
n> 1*4
n> 4

Try it out!

7* 6/4 = 42/4 = 21/2= 10 and 1/2

It is greater than 7
7 0
4 years ago
Simplify.
steposvetlana [31]
I hope this helps you



8m+7m+4n-2n


15m+2n
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3 years ago
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If 1/a + 1/b =1/c and ab=c,what is the average of a and b?
goblinko [34]
If we solve the left side of the given equation,
                                  1/a + 1/b = 1/c
 we get an answer of,
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Since ab = c, we can conclude that b + a is 1. The average of these two numbers is equal to there sum divided by 2. The answer is therefore equal to 0.5. 
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3 years ago
What does it mean by type of angles and relationship between the angles if the line are parallel ?
valkas [14]

Where two lines cross, four (4) angles are formed. Two adjacent angles that share a vertex can be called a "linear pair." Two non-adjacent angles that have the same vertex and the same lines for sides, are called "vertical angles."

Where a transversal crosses two parallel lines, eight (8) angles are formed, four (4) at each intersection. In addition to the above angle types, there are other relationships that can be described.

Angles can be called <em>corresponding</em>, if they are in the same location relative to the intersection point (both on the north-east corner, for example). Angles are <em>interior</em> if they are between the parallel lines; <em>exterior</em> of they are not. They get the additional descriptor of <em>opposite</em>, if they are on opposite sides of the transversal.

If the angles are not opposite, and share a side but not a vertex, they can be called <em>adjacent</em>. (Only <em>interior</em> angles can be adjacent, one pair on either side of the transversal.)

_____

With the above definitions in mind, several <u>relationships</u> arise where a transversal crosses parallel lines. (<u>Types</u> of angles are <em>italicized</em>.) Two examples of each type are listed by angle numbers. Angles 1 and 2 are a linear pair, for example.

Angles of a <em>linear pair</em> are supplementary. (1, 2), (5, 7)

<em>Vertical</em> angles are congruent. (1, 4), (6, 7)

<em>Adjacent</em> angles are supplementary. (3, 5), (4, 6)

<em>Corresponding</em> angles are congruent. (1, 5), (4, 8)

<em>Opposite interior</em> angles are congruent. (3, 6), (4, 5)

<em>Opposite exterior</em> angles are congruent. (1, 8), (2, 7)

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