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4 years ago

What is the midpoint

Mathematics

1 answer:

liq [111]4 years ago

5 0

Answer:

midpoint formula:

x1+x2/2 y1+y2/2

-4 + (-2)/2 which then simplifies to -6/2 and then to -3

2 + 2 /2 which then simplifies to 2

x= -3

y= 2

so (-3,2) is the coordinate point of the midpoint of this segment

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A polygon always has an equal amount of sides and angles :)

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3 years ago

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bija089 [108]

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3 years ago

Each machine at a certain factory can produce 90 units per hour. The setup cost is 20 dollars for each machine and the operating

sasho [114]

Answer:

a) $Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}$

b) $n=24$

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

$Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}$

$T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1$

Differentiating

$T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2$

Equating equ 1 to zero

$0=\frac{20n^2+11556}{n}$

$n=24$

Therefore

Substituting n

For Equ 1

$T_n=\frac{20(24)^2+11556}{24}$

F(n)>0

For Equ 2

$T_n'=\frac{20(24)^2-11556}{24^2}$

F(n)'<0

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3 years ago

Which graph shows a trend line that best fits the data?

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Answer:

Step-by-step explanation:

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Here is the rule for the "Line of Best Fit"

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3 years ago

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Answer:

(we dont have the picture of the following ordered pairs, so I'll list all)

(4,1), (4,7), (1,4), (7,4)

Step-by-step explanation:

If the side lengths are 3 units, then you just add or subtract 3 to x or y in the 4 directions.

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3 years ago