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UkoKoshka [18]
2 years ago
14

(4x²y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y) Find the difference of polynomials ?

Mathematics
1 answer:
andre [41]2 years ago
5 0
Answer:

11x^2y^3 - 4xy^2

Step-by-step explanation:

(4x^2y^3 - 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y)

Combine like terms

4x^2y^3 - -7x^2y^3 = 11x^2y^3
Two negative signs together makes addition!

Combine like terms

2xy^2 - 6xy^2 = -4xy^2

Combine like terms

-2y - 2y = 0
We don’t have to include the zero

Now add 11x^2y^3 with -4xy^2 together

11x^2y^3 - 4xy^2

Therefore, the answer is: 11x^2y^3 - 4xy^2

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The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length
nalin [4]

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

6 0
2 years ago
A flower pot’s base has six sides that are all the same length. Each side measures x−6 units. The base’s perimeter is 78 units.
torisob [31]
6(x-6)=78
6x-36=78
6x-36+36=78+36
6x=114
6x÷6=114÷6
x=19
6 0
3 years ago
Read 2 more answers
Which expression shows the perimeter of the triangle in simplest form?
ankoles [38]

Answer:

D. 6x + 3

Step-by-step explanation:

A perimeter is just the sum of all sides of a shape.

First, write an equation to add all sides of the triangle:

(x + 4) + (3x - 2) + (2x + 1)

What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:

x + 3x + 2x + 4 -2 + 1

6x + 3

And that's our final answer: 6x + 3

I would appreciate brainliest, have an amazing day!

7 0
2 years ago
Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are ne
kobusy [5.1K]

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

3 0
2 years ago
Read 2 more answers
What is the circumference of the circle if r = 3.5 feet? Use 22 7 for π. A) 5.5 feet B) 11 feet C) 22 feet D) 38.5 feet
Liono4ka [1.6K]
Well, to find the circumference of a circle, we can use the formula
C=2\pir.
So just plug in 3.5 into the formula.
C=2\pi3.5.
Multiply and we get C=21.99. which is about 22 
So our answer would be C. 22 feet.
Hope I helped!
8 0
3 years ago
Read 2 more answers
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