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fgiga [73]
4 years ago
8

Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.

Mathematics
1 answer:
kvv77 [185]4 years ago
5 0
N; n + 2 - the two consecutive even integers

n + 3(n + 2) = 46
n + 3n + 6 = 46   <em> |subtract 6 from both sides</em>
4n = 40      <em>  |divide both sides by 4</em>
n = 10

n + 2 = 10 + 2 = 12

<u>Answer: 10 and 12.</u>
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Step-by-step explanation:

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For each pair of numbers, find a third whole number such that the three numbers form a pythagorean triple.
BabaBlast [244]

Answer:

Part 1) The third whole number is 44

Part 2) The third whole number is 40

Part 3) The third whole number is 25

Step-by-step explanation:

we  know that

The Pythagoras theorem states that

In a right triangle

c^{2} =a^{2} +b^{2}

where

c is the greater length side

a and b are the legs

Case 1) we have

33,55

<em>step a</em>

Let

a=33, b=55

Find the value of c

c^{2} =a^{2} +b^{2}

c^{2} =33^{2} +55^{2}

c^{2} =4,114

c =64.14 ------> is not a whole number

<em>step b</em>

Let

a=33, c=55

Find the value of b

b^{2} =c^{2} -a^{2}

b^{2} =55^{2} -33^{2}

b^{2} =1,936

b=44

Case 2) we have

42,58

<em>step a</em>

Let

a=42, b=58

Find the value of c

c^{2} =a^{2} +b^{2}

c^{2} =42^{2} +58^{2}

c^{2} =5,128

c =71.61 ------> is not a whole number

<em>step b</em>

Let

a=42, c=58

Find the value of b

b^{2} =c^{2} -a^{2}

b^{2} =58^{2} -42^{2}

b^{2} =1,600

b=40

Case 3) we have

60,65

<em>step a</em>

Let

a=60, b=65

Find the value of c

c^{2} =a^{2} +b^{2}

c^{2} =60^{2} +65^{2}

c^{2} =7,825

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<em>step b</em>

Let

a=60, c=65

Find the value of b

b^{2} =c^{2} -a^{2}

b^{2} =65^{2} -60^{2}

b^{2} =625

b=25

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Ksju [112]
Correct answer is cone

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