8. To which subsets of the real numbers does the number 13 belong?

Mathematics

1 answer:

Veronika [31]3 years ago

5 0

Answer:

irrational numbers

Step-by-step explanation:

sqrt(13) is not a whole number, a natural number, an integer, or a rational number.

Answer: irrational numbers

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The diameter of a circle measures 28 mm. What is the circumference of the circle?

Papessa [141]

Answer:

C = 87.92 mm

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Circumference Formula: C = πd

C is circumference
d is diameter

Step-by-step explanation:

Step 1: Define

Diameter d = 28 mm

Step 2: Solve

Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
[Circumference] Multiply: C = 87.92 mm

8 0

3 years ago

Solve for x.

Daniel [21]

Answer:

$x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}$

Step-by-step explanation:

$-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}$