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3 years ago

Find the volume of this object.

Mathematics

1 answer:

Ratling [72]3 years ago

8 0

Cylinder: 1²(3) = 3
3(9) =27

Prism: 4x3x6 =72

Total: 72+27 = 99in³

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Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

3 years ago

Need help with this math problem

elena-14-01-66 [18.8K]

Answer:

Sangayko venchitra ko asalokan gari nimna samuhko ganatmak sankhya Pata lagaunuhos

N(A)

3 0

2 years ago

Help me with this :)))))))

lora16 [44]

Answer:

QR= 16

Step-by-step explanation:

HOPE THIS HELPS

3 0

3 years ago

Which term best describes a figure formed by three segments connecting

elixir [45]

Answer:

The term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

Step-by-step explanation:

Step-by-step explanation:

We know that with the help of just one point we can't form any figure.

With the help of two points a line segment can be formed.

And with the help of three points if the three points are collinear a triangle can be formed.

Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

8 0

3 years ago

Solve using square root or factoring method

OlgaM077 [116]

9x^2 + 18x + 9 = 5

9(x^2 + 2x +1) - 5 = 0

x^2 + 2x - 4 = 0

Then use the quadratic formula.

8 0

3 years ago