Mathematics, 30.01.2020 03:03 jerico9184

The square below has an area of 1+2x+x^2 square meters. what expression represents the length of one side of the square?

The square below has an area of 1+2x+x^2 square meters. what expression represents the length of one

Answers: 2

Show answers

Answers

Answer from: hgfgu1015

Side length = x + 1 meters

Step-by-step explanation:

$x^2+2x+1=x^2+2(x)(1)+1^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(x+1)^2\\\\\text{The formula os an area of a square with side}\ a:\\\\A=a^2\\\\\text{Conclusion:}\\\\Side\ length=x+1$

Answer from: Carlyalexis77301

We have been given that the square has an area of 1+2x+x^2 square meters. We are asked to find the length of one side of the square.

We know that area of square is square of its side length.

Let us factor area by splitting the middle term.

x^2+2x+1

x^2+1x+1x+1

x(x+1)+1(x+1)

(x+1)(x+1)

(x+1)^2

To find side length, we will take positive square root of area as:

$\sqrt{(x+1)^2}$

Square root will cancel out with square, so we will get:

$\sqrt{(x+1)^2}=(x+1)$

Therefore, the length of the one side of the square in (x+1) meters.

Answer from: Quest

answer: ur mum is gay

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer: (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Write a corresponding real world problem to represent 2x - 125=400

Answers: 1

Answer

Mathematics, 21.06.2019 20:20

The polynomial 10x3 + 35x2 - 4x - 14 is factored by grouping. 10x3 + 35x2 - 4x - 14 5x )-20 what is the common factor that is missing from both sets of parentheses?

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

Kayla made observations about the sellin price of a new brand of coffee that sold in the three different sized bags she recorded those observations in the following table 6 is $2.10 8 is $2.80 and 16 is to $5.60 use the relationship to predict the cost of a 20oz bag of coffee.

Answers: 3

Answer

Mathematics, 21.06.2019 23:30

Which equation represents a direct linear variationa. y=x2b. y=2/5xc. y=1/xd. y=x+3

Answers: 3

Answer

You know the right answer?

The square below has an area of 1+2x+x^2 square meters. what expression represents the length of one...

Questions