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gtnhenbr [62]
3 years ago
7

If two lines are parrallel do they have the same slope

Mathematics
2 answers:
victus00 [196]3 years ago
6 0

Answer:

no i dont think so becuse they can still be angeled in all diffrent directions

Step-by-step explanation:

zvonat [6]3 years ago
3 0

Yes, any two parallel lines have the same slope.

For example, graphing out y = 2x+5 and y = 2x+7 will produce parallel lines (both lines have a slope of 2). The two lines will never cross. Algebraically we can solve this system of equations as follows:

y = 2x+5 ... start with the first equation

2x+7 = 2x+5 ... replace y with 2x+7

2x+7-2x = 2x+5-2x .... subtract 2x from both sides

2x-2x+7 = 2x-2x+5

0x+7 = 0x+5

0+7 = 0+5

7 = 5 ... we have a contradiction and false statement here

Because of the false equation in the last line, the original system mentioned above does not have any solutions. A solution to a system is one where the two lines cross.

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factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINK
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9514 1404 393

Answer:

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Step-by-step explanation:

First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...

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Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.

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The pair with a sum of 26 is highlighted.

Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:

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Now, the quadratic can be factored by grouping:

  =  (8x^2 -20x) +(-6x +15)

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Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...

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So, the complete factorization of the original expression is ...

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