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olga55 [171]
2 years ago
10

If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?

Mathematics
1 answer:
Irina18 [472]2 years ago
3 0

Answer:

36

Step-by-step explanation:

Hello,

If X=x^2 it becomes

X^3-289X^2-X+289=(X^2-1)(X-289)

and 289=17^2

X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)

So,

x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)

a = 1

b = 1

c = 17

d = 17

e = 0

Then a + b + c + d + e = 36

Thanks

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Step-by-step explanation:

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A square pyramid is shown sitting on its base.
allochka39001 [22]

Answer:

Area of Pyramid = 384 cm²

Step-by-step explanation:

Given

Shape: Square Pyramid

Base: 12 cm

Height: 10 cm

Required

The Surface area.

The surface area of the pyramid is calculated by

1. Calculating the area of the base square

2. Calculating the area of the triangles

3. Adding (1) and (2) above

Having highlighted these points,

Step 1: First we calculate the area of the base square

The dimension of the square is 12cm x 12cm

Let L represent the length of the square (L = 12 cm)

So, Area = L * L

Area = 12 cm * 12 cm

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The dimension of each triangle is

Base: 12 cm

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First, we calculate the area of one triangle

Area = 0.5 * base * height

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If the area of 1 triangle is 60 cm², the area of 4 triangles would be

Area = 4 * 60 cm²

Area = 240 cm²

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Part D ? Question Suppose the cylindrical water tank has a radius of 12 feet. Use this information and the equation modeling the
Wittaler [7]

The volume of the cylindrical water tank that has a length of 20 feet and a radius of 12 feet is about <u>9,048</u> cubic feet.

The correct option is option <em>d</em>;

d. 9,048

<h3>What is the volume of a solid?</h3>

The volume of a solid indicates the amount of space the solid takes at a location.

The formula for finding the volume of the cylindrical tank is presented as follows;

<em>V</em> = π·r²·L

Where;

r = The radius of the tank

L = The length of the tank

From a similar question on the website, we have;

The length of the tank, <em>L</em> = 20 feet

Therefore;

The volume of the tank, <em>V</em> = π × 12² × 20 ≈ 9048

  • The volume of the water tank is about <u>9,048</u> cubic feet

Learn mort about finding the volume of a solid here:

brainly.com/question/23725200

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