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3 years ago

Write an expression to find the perimeter of the rectangle below: 2x - 3y 3x - 1

Mathematics

1 answer:

LuckyWell [14K]3 years ago

4 0

Answer:

2(5x-3y-1)

Step-by-step explanation:

perimeter of a rectangle formula:

2l+2w

l=length(2x-3y)5x

w=width(3x-1)

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

4x-6y+6x-2

10x-6y-2

2) all of these numbers have a gcf of 2 so lets divide this equation by 2:

2(5x-3y-1)

hope this helps!

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Answer:

Step-by-step explanation:

Not all of the pairs represent the same ratio

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1 year ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

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3 years ago

What is the simplified form of <br><br> (X/3-y/4)/(x/4+y/3) ? (6 points)

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Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Step-by-step explanation:

Given fraction is:

$\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}$

To solve the fraction, Taking LCM in denominator and numerator

$=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}$

When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,

$= \frac{4x-3y}{12} * \frac{12}{3x+4y}\\=\frac{4x-3y}{3x+4y}$

Hence,

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Keywords: fractions, simplification

Learn more about fractions at:

#LearnwithBrainly

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