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lara [203]
2 years ago
14

Expand completely using the Binomial Theorem (3y - x)^4

Mathematics
1 answer:
AleksAgata [21]2 years ago
4 0

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3  + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

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Use elimination to solve the system of equations. 5x-2y=-3 4x-2y = -6
Effectus [21]

Answer:

x=3, y=9

Step-by-step explanation:

5x-2y=-3

4x-2y=-6

Then:

solve for y:

-2y=-6-4x

y=3+2x

Substitute y into either equation:

4x-2(3+2x)=-6

4x-6-4x=-6

-6=-6, use other equation

5x-2(3+2x)=-3

5x-6-4x=-3

x-6=-3

x=3

then:

y=3+2(3)

y=9

5 0
2 years ago
Algebra question I need the work showed with it.
Alex_Xolod [135]
Area of the square + area of 4 semicircles.

use s² to find the area of the square. s=8
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use πr²/2

=(3.14 x 324)/2
= <span>508.9

4 semi circles right, 
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=</span><span>2035.8

total area = </span><span>2035.8 + 324 
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5 0
2 years ago
Read 2 more answers
two similar cylinders have surface areas of 40pi square feet and 90pi. What is the ratio of the height of the large cylinders to
Sedbober [7]
The ratio of heights  = ratio of the square roots of the areas because area is 2 dimensional and height is one dimensional.

so required ratio is  sqrt 40pi :   =  sqrt40:sqrt80 =  sqrt1: sqrt2 = sqrt (1/2) = 0.7071  to 4 significant figures 
7 0
3 years ago
Simplify -40/7+8-23/7
Oduvanchick [21]

Answer:

-1

Step-by-step explanation:

-40/7+8-23/7

= -40/7+8-23/7

= 16/7-23/7

= -1

7 0
1 year ago
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What is repating and terminating
Harlamova29_29 [7]
Repeating decimal is a decimal that repeats once divided...
And, a terminating decimal is a decimal that ends that is it has finite numbers
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3 years ago
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