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Keith_Richards [23]
3 years ago
11

How do you know if two line segments are parallel?

Mathematics
2 answers:
salantis [7]3 years ago
6 0

For this case we have that by definition the equation of a line in its generic form is given by:

y = m1x + b1\\y = m2x + b2

Then, by definition, when the lines are parallel, their slopes are equal. This means that it is met:

m1 = m2

The lines can have the same or different intersection with the vertical axis.

Answer:

D. Their slopes are equal

Annette [7]3 years ago
3 0
D is correct.This is because these lines will never intersect
<span>Their slopes are equal
</span>Their slopes are the same!

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If 32^2c=8^c what is the value of c? 1 2 3 5
Elina [12.6K]

Answer:

  • as written, c ≈ 0.000979 or c = 4
  • alternate interpretation: c = 0

Step-by-step explanation:

<em>As written</em>, you have an equation that cannot be solved algebraically.

  (32^2)c = 8^c

  1024c = 8^c

  1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

  32^(2c) = 8^c

  (2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

  2^(10c) = 2^(3c) . . . . . . . simplify

  10c = 3c . . . . . . . . . . . . . .log base 2

  7c = 0 . . . . . . . . . . . . . . . subtract 3c

  c = 0 . . . . . . . . . . . . . . . . divide by 7

7 0
2 years ago
What is the square root of 95.54
vladimir2022 [97]
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...

They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..

A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:

x-(f(x)/(df/dx))

In a square root problem you wish to know:

x=√n  where x is the root and n is the number

x^2=n

x^2-n=0

So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:

x-((x^2-n)/(2x)) which simplifies further to:

(2x^2-x^2+n)/(2x)

(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)

In this case the number, n=95.54, so a decent starting value for x would be 10.

Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.

10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397

The calculator result for my calc is: 9.7744565066299210578124802523381

So you see how accurate the newton method is in just a few iterations. :P


5 0
3 years ago
. The slope of the line is 4/9, and it contains the point (-6,8). Enter an equation in point-slope form
Serga [27]

Answer:

Step-by-step explanation:

m =4(-6, 8)/9

4 0
2 years ago
How many students in the survey said that math was their<br> favorite subject?
vaieri [72.5K]

Answer:20

Step-by-step explanation:

6 0
3 years ago
Round each mixed number to the nearest whole number and then estimate the difference. 18 9/11 - 8 3/8
mel-nik [20]

Answer:

18 9/11 rounded to the nearest whole number is 19 and 8 3/8 rounded to the nearest whole number is 8 so 19 - 8 = 11

Hope this helps :)

5 0
2 years ago
Read 2 more answers
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