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4 years ago

The equation 1 – 4⁄3x = 1⁄2(–x + 7) has what type of solution set

Mathematics

1 answer:

Kobotan [32]4 years ago

4 0

Answer:

Unique

Step-by-step explanation:

Let y₁ = 1 - ⁴/₃x (1)

and y₂ = ½(–x + 7) (2)

The slope of Equation (1) is -⁴/₃.

The slope of Equation (2) is -½.

The slopes are different, so there is a unique solution set.

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4 years ago

1. Calculate the speed

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Answer:

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Step-by-step explanation:

Given data

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3 years ago

The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is it

Minchanka [31]

Answer:

$V=250\ cm^{3}$

Step-by-step explanation:

step 1

Find the length of the base L

we know that

The surface area of a rectangular prism is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

substitute

$SA=2(LW)+2(L+W)H$

we have

$W=5\ cm$

$H=10\ cm$

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substitute in the formula and solve for L

$250=2(5L)+2(L+5)10$

$250=10L+20L+100$

$30L=250-100$

$L=5\ cm$

step 2

Find the volume of the rectangular prism

The volume is equal to

$V=(LW)H$

we have

$W=5\ cm$

$L=5\ cm$

$H=10\ cm$

substitute

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4 years ago

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