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3 years ago

Identify square root of 11 as either rational or irrational, and approximate to the tenths place.

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

$\sqrt{11} =3.316625$

Rounded to the tenth: 3.3

Square roots that are not perfect squares are always irrational

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Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

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General Formulas and Concepts:

Order of Operations: BPEMDAS
Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

Substitute: $d = \sqrt{(-9-5)^2+(-1-(-1))^2}$
Simplify: $d = \sqrt{(-9-5)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-14)^2+(0)^2}$
Evaluate: $d = \sqrt{196}$
Evaluate: $d = \14$

Step 3: Find Midpoint

Substitute: $(\frac{5-9}{2},\frac{-1-1}{2})$
Subtract: $(\frac{-4}{2},\frac{-2}{2})$
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