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2 years ago

What is 5x + 12 < 2 ?

Mathematics

2 answers:

Vsevolod [243]2 years ago

7 0

Answer:

x < - 2

Step-by-step explanation:

5x + 12 < 2 ( subtract 12 from both sides )

5x < - 10 ( divide both sides by 5 )

x < - 2

Masja [62]2 years ago

5 0

Answer:

x < -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

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

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 12 < 2

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10
[Division Property of Equality] Divide 5 on both sides: x < -2

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Answer:

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3 years ago

What is the length of AC¯¯¯¯¯ ?

Harman [31]

Answer:

AC = 12.38 cm

Step-by-step explanation:

When there are 2 pairs given, we can use the sine rule to solve the problem.

By pairs we mean "an angle and side opposite to it"

1 pair is 85.2 degree angle and 13 cm, and another pair is 71.6 degree angle and the side AC (which we want to figure out).

Sine Rule is given by $\frac{SinA}{a}=\frac{SinB}{b}$

where,

A and B are the two respective angles and a and b are the two respective sides (of the pairs). Plugging all the info and using algebra, we have:

$\frac{Sin85.2}{13}=\frac{Sin71.6}{AC}\\AC*Sin85.2=13*Sin71.6\\AC=\frac{13*Sin71.6}{Sin85.2}\\AC=12.38$

Thus, AC = 12.38 cm

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3 years ago

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