Express in completed square form x 2 + 6x + 20

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Answer:

(x + 3)² + 11

Step-by-step explanation:

Given

x² + 6x + 20

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

x² + 2(3)x + 9 - 9 + 20

= (x + 3)² + 11

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Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108) A) 6.9 x 105 B) 6.9 x 1011 C) 6.9 x 10-5 D) 6.9 x 102

Furkat [3]

Answer: A) is the right answer. $6.9\times10^{5}$

Step-by-step explanation:

Given product : $2.3\times10^{-3}\times3\times10^8$

To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.

$2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}$