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3 years ago

Factor the expression 4a^2b-16ab^2+32a^2b^2

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

Answer:

<h2>The answer is 4ab(a−4b+8ab)</h2>

Step-by-step explanation:

pls mark as brainliest!!!

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Four circles, each with a radius of 2 inches, are removed from a square.

natka813 [3]

<u>Given:</u>

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

<u>Area of a square:</u>

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

$A=s^2$

$A=8^2$

$A=64$ $in^2$

Thus, the area of the square is 64 square inches.

<u>Area of the four circles:</u>

The area of one circle is given by

$A=\pi r^2$

Substituting r = 2, we have;

$A=4\pi$

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

<u>Area of the remaining square:</u>

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

$Area=64-16\pi$

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

5 0

2 years ago

Graph: f(x) = -3sin (x/2 - π/4)

charle [14.2K]

This sine function has the form y = f(x) = a sin (bx + c), where |a| is the amplitude, b is the frequency, and c determines the phase shift.

The period of this sine curve is 2 pi/b, or (in this problem) 2 pi/(1/2).

The phase shift of this curve is -c/b, or -(pi/4)/(1/2). Simplify this.

The amplitude is |-3|, or just 3.

Draw a set of coordinate axes. Draw light horizontal lines through y=3 and y=-3. These are the max and min. values of this sine function.

Plot the phase shift on your x-axis.

Your sine function will begin at (phase shift value, 0) and continue for one period. Add the period to the phase shift value. Draw a sine curve beginning and ending at these two x-values.

I encourage you to share your calculations and to sketch the graph described here. Then I could give you more specific feedback on your work. Good luck!

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3 years ago

The temperature in the desert can

Tanya [424]

Answer:

There is an 144 degree difference.

Step-by-step explanation:

112=(-32)+x

solve like a regular equation which will give you 144

(add 32 to 112)

4 0

3 years ago

What is the product of the binomials below (2x+3)(3x+3)

Serga [27]

Answer:

3 • (2x + 3) • (x + 1)

Step-by-step explanation:

4 0

4 years ago

Part 2

densk [106]

Answer:

672 students

Step-by-step explanation:

To find the answer you would first need to find how many people out of the 75 middle school students didn't prefer apples. Since 67 out of 75 students liked apples we can only assume the other 8 students didn't prefer apples. We will then divide 8 by 75 to get the percentage. This will give us the percentage .106. Next multiply 6,300 by .106 and we get 672.

3 0

4 years ago

Read 2 more answers

Factor the expression 4a^2b-16ab^2+32a^2b^2​

Factor the expression 4a^2b-16ab^2+32a^2b^2