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Diano4ka-milaya [45]
2 years ago
11

What do you know about the slopes of lines that are parallel? Explain

Mathematics
1 answer:
Rudiy272 years ago
7 0

Parallel lines have to have the same slope.  The must stay the same distance apart at all times to be parallel and the only way to do that is to change in exactly the same manner as they move so slope is the change in x over the change in y.  it must be the same

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N76 [4]
5 or 4 weeks because 199 divided by 45 equals 4.4222222222
7 0
3 years ago
Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .
Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6(\frac{n(n+1)}{2} )

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

brainly.com/question/29222282

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6 0
1 year ago
A + 3 + 2a = -1 + 3a + 4
Verdich [7]

Answer:The answer is Equal.

Step-by-step explanation:First you need to add A and 2A together. that equals 3a. Since 3 is left , it could be -1 and 4 because it would equal the same thing hope this helped :)

8 0
3 years ago
A circular garden has a diameter of 6 yards. What is the area of the garden?
Salsk061 [2.6K]

Answer:

d.

Step-by-step explanation:

3 0
2 years ago
22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
dem82 [27]

Answer:

99 24/25

Step-by-step explanation:

8.33*√144=

8.33*12=99 24/25 or 100 with 8.33 bar

8 0
3 years ago
Read 2 more answers
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