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3 years ago

Translation: (x, y) → (x - 2, y + 3)

Mathematics

2 answers:

iVinArrow [24]3 years ago

8 0

Answer:

(-2,3)

Step-by-step explanation:

Dmitrij [34]3 years ago

8 0

Answer:

Left 2, Up 3

Step-by-step explanation:

When you subtract from x, you are moving left, And when you add to y, you are moving up.

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What’s the simplest from of 21:28

Komok [63]

The simplest form of 21:28 is 3:4. you just divide both numbers by the greatest common factor.

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3 years ago

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You are designing a rectangular poster to contain 7575 in2 of printing with a 33-in margin at the top and bottom and a 11-in m

erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

$\therefore xy=75$

$\Rightarrow y=\frac{75}{x}$ ....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

=(x-6) in

The width of printing space is = (y-2.1) in

=(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

$\Rightarrow A =(x-6)(\frac{75}{x}-2)$

$\Rightarrow A = 87-\frac{450}{x}-2x$

Differentiating with respect to x

$A '= \frac{450}{x^2}-2$

Again differentiating with respect to x

$A''=-\frac{900}{x^3}$

To find the minimum area of printing space, we set A' = 0

$\therefore \frac{450}{x^2}-2=0$

$\Rightarrow 450 =2x^2$

$\Rightarrow x^2=225$

$\Rightarrow x=\pm 15$

Now putting x=±15 in A''

$A''|_{x=15}=-\frac{900}{15^3}$

$A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0$

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

$y=\frac{75}{x}$

Putting the value of x

$y=\frac{75}{15}$

=5 in

The dimensions of the rectangular poster is 15 in by 5 in.

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2 years ago

What is the final amount of a $300 investment earning 4.5% interest compounded quarterly for 3 years?

wel

The formula A=P(1+(r/n))^nt should be followed when answering
300=P
R=0.045
N=4
T=3
300(1+(0.045/4))^4x3
Answer is=343.102

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2 years ago

5(y+2)= -3 Whats the answer TvT

Iteru [2.4K]

Answer:

The answer is given below

Step-by-step explanation:

$(5y + 10) = - 3$

$5y = - 3 - 10$

$5y = - 13$

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This is the velue of y

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1 year ago

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Answer:

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