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vfiekz [6]
3 years ago
6

A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perim

eter of the rectangle?
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)

Perimeter = (24x + 24) units

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Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f
sergeinik [125]
f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}

f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}

Stamement 2. f(-2)=f(2) is true.
3 0
3 years ago
Use the next of a rectangular prism to answer the question
Andreyy89

。☆✼★ ━━━━━━━━━━━━━━  ☾

Work out the area of the square :

6 x 6 = 36

As there are 2, multiply by 2:

36 x 2 = 72

Work out the area of the rectangle:

12 x 6 = 72

As there are 4, multiply by 4:

72 x 4 = 288

Add these values:

288 + 72 = 360

Thus, your answer is E. 360 in^2

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4 years ago
Whats the x-intercept and the y-intercept and zero for 2x-3y=18
Korvikt [17]
2x+3(0)=18      2x=18      x=9
2(0)+3y=18       3y=18     y=6

4 0
3 years ago
What is the difference of the polynomials? (â€""2x3y2 4x2y3 â€"" 3xy4) â€"" (6x4y â€"" 5x2y3 â€"" y5) â€""6x4y
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Polynomial-An expression of two or more algebraic terms, which is the sum or difference of the several terms with having different power of the only variable. The difference between the given polynomials is

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We have given two function of variable <em>x </em>and <em>y</em>

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

(6x^4y-5x^2y^3-y^5)

<h3>Polynomial</h3>

An expression of two or more algebraic terms, which is the sum or difference of the several terms with having different power of the only variable.

Now we have to subtract the two equations to find the difference,

(-2x^3y^2 + 4x^2y^3-3xy^4)-(6x^4y-5x^2y^3-y^5)

Multiply the sign into the bracket to open the bracket and further solution,

=-2x^3y^2 + 4x^2y^3-3xy^4-6x^4y+5x^2y^3+y^5

Arrange the similar terms in the same groups,

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Hence, the difference between the given polynomials is=-2x^3y^2 + 9x^2y^3-3xy^4-6x^4y+y^5

For more about the polynomials, follow the link below-brainly.com/question/17822016

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