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Vikentia [17]
4 years ago
8

Solve for x simplify your radical answer completely. would really appreciate help​

Mathematics
1 answer:
Anarel [89]4 years ago
7 0

Answer:

2\sqrt{13}

Step-by-step explanation:

Just use the Pythagorean Theorem:

14^2 - 12^2 = x^2

196-144 = x^2

x^2 = 52

x=\sqrt{52}

\sqrt{52} = 2\sqrt{13}

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Find two consecutive even integers such that the sum of the larger and three times the smaller is 234
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Represent even numbers as "2n" since each is a multiple of 2.

Represent odd numbers as "2n+1" since each is one more than an even.

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

Your problem:

smaller # : 2n

larger #: 2n+2

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

EQUATION:

2n+2 + 3(2n) = 234

8n = 232

n = 29

---------

smaller = 2*29 = 58

larger = 2n+2 = 60

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