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3 years ago

1) a) What are perpendicular lines and parallel lines

2 answers:

5 0

Perpendicular lines are lines that intersect and parallel line are lines that are parallel to each-other and never intersect

soldier1979 [14.2K]3 years ago

5 0

Answer:

the property of being perpendicular is the relationship between two lines which meet at a right angle.

parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

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Write the verbal expression to represent n-8=16

Travka [436]

Answer:

The difference of a number and 8 is 16

Step-by-step explanation:

Statement that is expressed in words

6 0

4 years ago

Please help me answer this

xxMikexx [17]

The answer would be .42

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3 years ago

What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

Given sequence:

6, 20, 40, 66, 98, 136, ...

Calculate the first differences between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

2 years ago

What is 29/4 simplyfied?

Mars2501 [29]

Answer:

7 and 1/4 or 7.25

Step-by-step explanation:

28/4 = 7

1/4 = 0.25

7 + 0.25 = 7.25

5 0

3 years ago

Read 2 more answers

Write a division equation that can be solved by multiplying each side by <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B

sveta [45]

For example:
(4/9) x=8

Now can solve this equation multiplying each side by 9/4.

(9/4)(4/9)x=(9/4)8
x=18

To check:
(4/9)(18)=(4*18)/9=72/9=8

4 0

3 years ago

1) a) What are perpendicular lines and parallel lines ​

1) a) What are perpendicular lines and parallel lines