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3 years ago

Simplify each expression4sg/-5gand(8 + 7a) + 4

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

$\dfrac{4sg}{-5g}=-\dfrac{4}{5}\cdor\dfrac{sg}{g}=-\dfrac{4}{5}s\\\\(8+7a)+4=7a+(8+4)=7a+12$

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The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism

AleksAgata [21]

Answer:

$\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle V_P = 2x^3 - 6x^2 + 8x$

$\displaystyle V_C = 27x^3$

Step 2: Find Combined Volume

[Set up] Add: $\displaystyle V_P + V_C = V_{P + C}$
Substitute in variables: $\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x$
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2 years ago

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

sashaice [31]

5x^2 + 5y^2 + 10x − y = 0 it is the same of 
x^2 + y^2 + 2x −1/5y = 0
and then 
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 (x + 1)^2 + (y −1/10)^2 =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10

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3 years ago