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1 year ago

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Aaron has a garden with a width of 6 feet and a length of 8 feet. He plans to make his garden larger by adding g feet to the len

gth. What are Two Equivalent Expressions that could be used to determine the area of the larger garden?

1 answer:

Studentka2010 [4]1 year ago

3 0

Answer:

6/8 1 1/8

Step-by-step explanation:

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Given: f(x) = 3x-7, g(x)=2x2 -3x+1, h(x)=4x+1, k(x) =-x2+3 Find: k(x) +g(x)

Afina-wow [57]

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

<u>Alg I</u>

Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

<u>Step 2: Find k(x) + g(x)</u>

Substitute: k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
Combine like terms (x²): k(x) + g(x) = x² + 3 - 3x + 1
Combine like terms (Z): k(x) + g(x) = x² - 3x + 4

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2 years ago

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2 years ago

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A pile of 10 000 paper is 89 cm thick. How thick is one sheet of paper?

Iteru [2.4K]

Answer:

0.0089 cm

Step-by-step explanation:

89/10 000

=0.0089

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2 years ago

A container is shaped like a cylinder with half spheres on each end the cylinder has a length of 30 centimeters and a radius of

4vir4ik [10]

The container is aproximatly 1064.16 cm^2

Volume of a cylinder (area of the base* height) + area of the sphere (4 *pi * r^2)
(25*30) + (4* pi * 25) = 750 + 314.15926535898 = 1064.15926535898

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3 years ago

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The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

<u>Slope-intercept form of a linear equation:</u>

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:

$\implies -5=\dfrac{7}{5}(6)+b$

$\implies -5=\dfrac{42}{5}+b$

$\implies b=-\dfrac{67}{5}$

<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

$\implies y=\dfrac{7}{5}x-\dfrac{67}{5}$

Learn more about slope-intercept form here:

brainly.com/question/27317293

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1 year ago