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son4ous [18]
3 years ago
8

Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …​

Mathematics
2 answers:
balu736 [363]3 years ago
6 0

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

yulyashka [42]3 years ago
5 0

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

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Answer:

x = 18

Step-by-step explanation:

Total interior angle of pentagon: 540 degrees

(3x + 23) + (9x - 6) + 95 + 90 + (7x - 4) = 540

19x + 23 - 6 + 95 + 90 - 4 = 540

19x + 17 + 95 + 90 - 4 = 540

19x + 13 + 185 = 540

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What is the value of b?
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Choose the equation of the horizontal line that passes through the point (2,4)
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y = 4

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What is the distance between the points (2, 1) and(6, 7)?
icang [17]

Answer:

\displaystyle d = 2\sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, 1)

Point (6, 7)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(6 - 2)^2 + (7 - 1)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{4^2 + 6^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{16 + 36}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{52}
  5. [√Radical] Simplify:                                                                                           \displaystyle d = 2\sqrt{13}
3 0
3 years ago
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