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Rufina [12.5K]
3 years ago
8

Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.

Mathematics
1 answer:
Natalija [7]3 years ago
6 0
Multiply then simplify, that's doing the same work twice...anyway

x^3+x^2y+xy^2-x^2y-xy^2-y^3

x^3-y^3  which if factored is:

(x-y)(x^2+xy+y^2)  which is what you started with :)
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A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
rodikova [14]

Answer:

  3 feet

Step-by-step explanation:

Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...

  A = (20 +2x)(50 +2x) = 1000 +140x +4x^2

The area of the pool alone is

  A = (20)(50) = 1000

So, the area of the deck is the difference:

  456 = (4x^2 +140x +1000) -(1000)

Dividing by 4 and subtracting 114, we have ...

  x^2 +35x -114 = 0

  (x -3)(x +38) = 0

Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.

The deck is 3 feet wide.

4 0
3 years ago
Draw a number line between -5 and 5. Fill the number line with at least 10 rational numbers and 10 irrational numbers and shows
Kamila [148]
4 or something if wrong lmk
3 0
3 years ago
What is the shortest board a man must buy in order to cut 3 sections from it, each 4 feet 8 inches long?
kakasveta [241]

Convert the mixed number to inches. 3 feet 8 inches = 44 inches (12 inches per foot x 3 feet= 36 inches + 8 inches= 44 inches). 44 inches (length each section needs to be) x 4 (number of sections needed)=176 inches (total molding needed). To determine the amount of molding needed in feet, convert 176 inches into feet by dividing 176 inches by 12 inches. You get 14 2/3 feet, so the shortest board length is 15 feet.

7 0
3 years ago
13.1: Equivalent Expressions
scoundrel [369]

Distributive Property:  a ( b + c) = (a*b) + (a*c)

b)   x(x + 9) =  x*x + 9*x

               = x² + 9x    

c)  x² - 18x

     x² = x * x

  18x  = 18 *x

G C F = x

Greatest common factor in both the terms is 'x'.Take the common variable from both the terms.

x² - 18x = x*x - 18*x

            = x (x - 18)

           

Standard form.                Factored form

      x²                                     x*x

x²  +  9x                             x(x +9)

    x² - 18x                           x(x - 18)  

-x² + 10x                             x(-x + 10) = x(10 -x)

-x² - 2.75x                          -x(x + 2.75)

3 0
2 years ago
If f(y) = 2y - 2/5,<br> what is f(f^-1(1024))?
SCORPION-xisa [38]

Answer:

-0.399

Step-by-step explanation:

f^-1(1024)=(2*1024-2/5)^-1= 0.000488

f(0.000488)=2*0.000488-2/5= -0.399

7 0
3 years ago
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