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kirill115 [55]
3 years ago
11

2020-2021 T-Math-Alg1-T1and2-CBT.: Section 2 - Calculator Section Question: 2-4

Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

The correct option is;

1, 6, 11, 15

Step-by-step explanation:

The given information are;

The function that defines the terms of the sequence is f(n) = f(n - 1) + 5

Where;

n = The number of the term

For n = 1, we have, f(1) = -4

The first four terms are therefore;

f(2) = f(2 - 1) + 5 = f(1) + 5 = - 4 + 5 = 1

f(3) = f(3 - 1) + 5 = f(2) + 5 = 1 + 5 = 6

f(4) = f(4 - 1) + 5 = f(3) + 5 = 6 + 5 = 11

f(5) = f(5 - 1) + 5 = f(4) + 5 = 11 + 5 = 15

The first four terms are; 1, 6, 11, 15

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In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

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<img src="https://tex.z-dn.net/?f=%5Cleft%284%2B%5Csqrt%7B6%7D%5Cright%29%5Cleft%2810%2B%5Csqrt%7B6%7D%5Cright%29" id="TexFormul
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Answer:

46 + 14\sqrt6

Step-by-step explanation:

Hello!

Multiply by distributing:

  • (4 + \sqrt6)(10 + \sqrt 6)

  • 4(10 + \sqrt 6) + \sqrt6 (10 + \sqrt6)           Distribute 4 + √6

  • 40 + 4\sqrt6 + 10\sqrt6 + \sqrt {36               Multiply

  • 40 + 14\sqrt6 + 6\\                              Simplify

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The final answer is 46 + 14√6

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