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Alja [10]
2 years ago
8

Write an EQUATION with an undefined slope:

Mathematics
1 answer:
Phantasy [73]2 years ago
3 0

Answer:

Example of an equation with an undefined slope: x = 2

Step-by-step explanation:

<h2>Definitions</h2>

The standard form of linear equations with an <u>undefined slope</u> is <em>x</em> = <em>a</em>, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (<em>a</em>, 0).  

The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.

\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}}

The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.  

<h2>Example:</h2>

For example, suppose that we have the following points (2, 5) (2, 10).

Let (x₁, y₁) = (2, 5)

     (x₂, y₂) = (2, 10)

Substitute these values into the slope formula:

\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}\:=\:\frac{10\:-\:5}{2\:-\:2}\:=\frac{5}{0}}

Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.

Thus, the equation of the <u>vertical line</u> will be: x = 2, where <em>a</em> = 2.

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The difference of two supplemtary angles is 58 degrees. Find the measures of the angles
erik [133]

Answer:

The measure of the angles are 61° and 119°

Step-by-step explanation:

Let the first angle = x°

let the second angle = y°

The sum of two supplementary angles = 180°

x° + y° = 180° ----- equation (1)

based on the given question; "the difference of two supplementary angles is 58 degrees."

x° - y° = 58° ------- equation (2)

from equation (2), x° = 58° + y°

Substitute the value of x into equation (1)

(58° + y°) + y° = 180°

58 + 2y = 180

2y = 180 -58

2y = 122

y = 122 / 2

y = 61°

The second angle is given by;

x° = 58° + y°

x = 58° + 61°

x = 119°

Thus, the measure of the angles are 61° and 119°

4 0
3 years ago
22 + 14x = 14x + 22 <br> Is this Commutative, Distributive, or Associative
oksano4ka [1.4K]

Answer:

I think the answer is Associative.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The reyes family but for concert tickets for $252 what was the price per ticket
Bas_tet [7]
If you mean "The Reyes Family bought for concert tickets for $252",

Consider the total price is $252 and that there are four tickets. You are looking for the price of one ticket so view it as

Total Price = $252
Total Tickets = 4

Total Price divided by Total Tickets =
\frac{252}{4}
Then divide both sides by four because 4 divided by 4 is 1 ticket.
\frac{252 \div 4}{4 \div 4} = \frac{63}{1}

Then you should get 63 divided by 1.
63 divided by 1 is 63, So your answer is

"The price of one ticket that the Reyes Family bought is 63 dollars."
7 0
3 years ago
Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what
Gennadij [26K]
Easy

median is the number in the middle when they are arranged in increasing numerical order
example
1,2,3
median is 2 becaus it is in middle
1,4,6,7,8
6 is median

if you have an even amount then average the middle two
1,3,5,7
median is the mean of 3 and 5 which is 4

so

3,5,7,11,23
median is 7 right now
there are an odd amout of numbers
adding 1 will result in even
to find the median of even set of numbers, average the 2 middle ones
right now 7 is center
the mean of 5 and 7 is 6
the mean of 7 and 11 is 9
we want a mean of 9
so add any  number greater than or equal to 11
3,5,7,11,12,23 is one option
3,5,7,11,23,50 is another



mean is 9
mean is the average of them
x is the number to be added
6 numbers will be the set since there are 5 now and adding 1 will get 6
(3+5+7+11+23+x)/6=9
(49+x)/6=9
times both sides by 6
49+x=54
minus 49 both sides
x=5

the number added must be 5



to make the median of the 6 numbers 9, add any number greater than or equal to 11, such as 12 or 234

to make the mean 9, add 5 to the set
7 0
3 years ago
1/3 + (-7/4) = write your answer in an fraction in simplest form
pentagon [3]

Answer:

17/12

Step-by-step explanation:

i hope this is right

8 0
3 years ago
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