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3 years ago

Find the common difference of the arithmetic sequence. 0, 0.4, 0.8, 1.2, . . .

Mathematics

1 answer:

irakobra [83]3 years ago

6 0

Each time it increases by 0.4

0 - 0.4 - 0.8 - 1.2 - 1.6 - 2.0 - 2.4 - 2.8 - 3.2 etc.

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Solve the equation by completing the square and then solving for x. 1. x^2-6x=12 2. 2x^2-24x=-20

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Answer: (x - 3)² = 21

Step-by-step explanation:

x² - 6x + ____ = 12 + ____

↓ ↑ ↑

$\frac{-6}{2} = (-3)^{2}$

x² - 6x + 9 = 12 + 9

(x - 3)² = 21

*******************************************************

Answer: (x - 6)² = 26

Step-by-step explanation:

2x² - 24x = -20

÷2 ÷2 ÷2

x² - 12x = -10

x² - 12x + ____ = -10 + ____

↓ ↑ ↑

$\frac{-12}{2} = (-6)^{2}$

x² - 12x + 36 = -10 + 36

(x - 6)² = 26

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