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3 years ago

|2x+1|>5 what is the answersolve for real numbers x.

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a always have solutions of the form

x < - a or x > a, thus

2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities

2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )

x < - 3 OR x > 2

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3 years ago

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In the given triangle ABC, find DE. answers: 20 5 10 2.5

adell [148]

Answer:

Step-by-step explanation:

Let's call the length AD y.

$\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5$

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3 years ago

A polyhedron has 8 vertices and 14 edges. How many faces must it have?

Scorpion4ik [409]

We know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

V - E + F = 2
clear F
F=2-V+E

in this problem
V=8
E=14
F=?
so
F=2-8+14
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the answer is
8 faces

7 0

3 years ago

What is the value of x to the nearest tenth?

Colt1911 [192]

Answer:

C. 17.6

General Formulas and Concepts:

Math

Rounding

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

Substitute in variables [tangent]: $\displaystyle tan(40^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 21tan(40^\circ) = x$
Rewrite: $\displaystyle x = 21tan(40^\circ)$
Evaluate: $\displaystyle x = 17.6211$
Round: $\displaystyle x \approx 17.6$