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Lapatulllka [165]
3 years ago
7

How is a rational number that is not an integer different from a rational number that is an integer?

Mathematics
2 answers:
tresset_1 [31]3 years ago
6 0
A rational number that IS an integer would be written as a whole number, such as 21 or 999 or -2058. A rational number that ISN’T an integer would have decimals, such as 9.75 or 18.44444, as integers are whole numbers.
Andrei [34K]3 years ago
4 0
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
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PLEASE HELP ASAPPPPPPPPPPPPPPP
Andru [333]

Answers:

  • a) -3
  • b)  7/3
  • c)  -1/2
  • d)  1/11
  • e)  undefined
  • f) 0
  • d)  2/3

========================================================

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

4 0
2 years ago
Rewrite the expression as an exponent with a base of x: (x^6)^4
attashe74 [19]

Answer:

it´s good

Step-by-step explanation:

5 0
2 years ago
A 10-sided polygon has 4 sides each of
Mademuasel [1]

Answer:

Step-by-step explanation:

<em><u>Givens</u></em>

4 sides = 4*p

3 sides = 3(4p) = 12p

Other sides

10

12

4

Total length = 138 inches

<em><u>Equation</u></em>

4p + 12p + 10 + 12 + 4 = 138

<em><u>Solution</u></em>

Collect like terms

16p + 26 = 138  

Subtract 26 from both sides

16p + 26 - 26 = 138 - 26

16p = 112

Divide by 16

16p/16 = 112/16

p = 7

<em><u>Longest Side (Answer)</u></em>

7 * 4 = 28 inches

H

4 0
3 years ago
the maximum load on a small plane is 400 pounds. Let w represent the weight on the plane. write an inequality to describe the al
otez555 [7]

Answer:

Step-by-step explanation:

I'm pretty sure it's w w\leq 400

8 0
3 years ago
Q # 3 The scatter plot shows the number of mistakes a piano student makes during a recital versus the amount of time the student
Marat540 [252]

Answer: Fourth option. 55 mistakes

Solution:

Please, see the attached graph.

Thanks.

6 0
3 years ago
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