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posledela
3 years ago
6

A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

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Find the circumference of a circle with radius, r = 19.5m.<br>Give your answer in terms of π.​
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C = 39 pi meters

Step-by-step explanation:

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4 0
3 years ago
The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)}
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You can use the definition of a function to classify which mapping is a function and which mapping is not a function.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

<h3>What is a function?</h3>

There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.

Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.

So, for a mapping to be function, we need each input to be mapped to only one output.

<h3>Using above definition</h3>

For group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.

For group 2, we see that each input has only one output, thus,this group represents a function.

Remember that we assumed that the pair of points were written as

(input, output)

Thus.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

Learn more about functions here:

brainly.com/question/13395697

4 0
2 years ago
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