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Inga [223]
3 years ago
10

Rewrite 5/ 16 + 6/ 20 with a common denominator.

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.
Dahasolnce [82]3 years ago
5 0

Answer:

49/80

Step-by-step explanation:

For getting a common denominator, each term must be multiplied in numerator and denominator by the denominator of the other term.

For example:

  • The 5/16 term must be multiplied by 20 (both 5 and 16)
  • The 6/20 term must be multiplied by 16 (both 6 and 20)

The terms would be like this:

(5x20)/(16x20)+(6x16)/(20x16)

The result would be:

100/320+96/320

As common denominator is already obtained, the expression could be one.

(100+96)/320=196/320

Now, the previous expression could be simplified. If we divide the numerator and the denominator by 4, the following result is obtained:

(196/4)/(320/4)=49/80

The expression with common denominator would be: 49/80

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You have been asked to find the inverse of f(x) = 3+ V2 - 1. What would your first step be?
Aleonysh [2.5K]

Answer:

Add 1 to both sides of the equation.

Subtract 3 from both sides of the equation.

Step-by-step explanation:

The inverse of a function refers to that function that tends to undo another function.

If we intend to find the inverse of the function, f(x) = 3+ V2 - 1, we have to first add 1 to both sides of the equation and subsequently subtract 3 from both sides of the equation before taking the square root of both sides to obtain the inverse function.

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3 years ago
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______
Vesna [10]

Answer:

c = 11

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

a = b= 5

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

a + b > c

a + c > b

b + c > a

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: a = b= 5

5 + 5 > c ===> 10 > c

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5 + c > 5  ===> c > 5 - 5 ===> c > 0

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c = 11, since no options are given

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