All categories

2 years ago

Explain why vertical lines are a special case in the definition of parallel lines.

Mathematics

2 answers:

Nookie1986 [14]2 years ago

6 0

Answer:

A vertical line has an infinite or undefined slope since the denominator is zero.

Step-by-step explanation:

Parallel lines by definition refers to lines that never intersect or meet since they have identical slopes. The slope of line is defined as;

(change in y)/(change in x)

For a vertical line, the y values are changing while the x values remain constant. The slope of this line will thus have a zero value in the denominator implying that its slope will not defined or will be infinity.

vovikov84 [41]2 years ago

3 0

Answer:

A vertical line has an infinite or undefined slope since the denominator is zero.

Step-by-step explanation:

You might be interested in

7(5x - 13) = 14

vfiekz [6]

Answer:

Part A, one solution

Part B, x=3

Step-by-step explanation:

divide both sides of the equation by 7 (5x-13=2)

move the constant to the right hand side and change its sign (5x=2+13)

add numbers (5x=15)

divide both sides of the equation by 5 (x=3)

hope this helps, have a good day

5 0

2 years ago

Last year Jan had 25 model airplanes in her collection. This year she has 32% more model airplanes. Jan then gave her brother 6

Igoryamba

Answer: Jan now has 27 model airplanes.

Step-by-step explanation: The starting figure is 25 model airplanes and this year she has 32% more than she started with. We shall first find out how many that turned out to be. Let the current number of model airplanes be X.

X = 25 + 32%

[To calculate 32% of 25

25 x 32/100

(25 x 32)/100

800/100

X = 25 + 8

X = 33

Now she has 33 model airplanes and she gave out 6 of these to her brother, then she finally has left with her, 33 minus 6 which equals 27.

Jan now has 27 model airplanes left

8 0

2 years ago

The length of a city’s bus routes are normally distributed with a mean of 14.5 mi and a standard deviation of 3.2 mi.

jeka57 [31]

Thank you for posting your question here at brainly. Please see below answer:

a) What percentage of city bus routes are less than 15 mi?
56.20820167 ≈ 56.2%

b)What percentage of city bus routes are greater than 20 mi?
4.282995170 ≈ 4.3 %

c) What percentage of city bus routes are less than 10 mi?
<span>7.98 ≈ 7.98 %</span>

3 0

3 years ago

Which of the following is the correct name for LM in ABC below

Lena [83]

FM is midsegment of triangle ABC

Answer

C. Midsegment

6 0

2 years ago

Read 2 more answers

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13

Lunna [17]

Answer:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

And the slope would be:

$m=6$

The means for x and y are given by:

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

For this case we know that the line adjusted is:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0

3 years ago