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3 years ago

A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w Subtract w from both sides

9w = 27 Divide by 9

w = 27 / 9

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.

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madreJ [45]

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A consistent system is the system of equations with at least one solution or infinite number of solutions.

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The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"

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3 years ago

Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power

kherson [118]

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power ⇒ answer A

Step-by-step explanation:

Let us explain how to change the radical expression as an expression

with a rational exponent

1. Find the number of the root and make it the denominator of the

fraction exponent

2. Find the power of the term under the radical and make it the

numerator of the fraction exponent

Examples:

$\sqrt{x^{n}}=x^{\frac{n}{2}}$

$\sqrt[3]{x^{n}}=x^{\frac{n}{3}}$

$\sqrt[5]{x^{n}}=x^{\frac{n}{5}}$

So $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ the radical expression is the seventh root of x to the third power

∵ seventh root = $\sqrt[7]{}$

∵ x to the third power = x³

∴ seventh root of x to the third power = $\sqrt[7]{x^{3}}$

Let us change it to the rational exponent

∵ $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ $\sqrt[7]{x^{3}}$

∴ m = 7 and n = 3

∴ $\sqrt[7]{x^{3}}$ = $x^{\frac{3}{7}}$

∵ $x^{\frac{3}{7}}$ is x to the three sevenths power

∴ $\sqrt[7]{x^{3}}$ is x to the three sevenths power

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power

Learn more:

You can learn more about radical equation is brainly.com/question/7153188

#LearnwithBrainly

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4 years ago

Read 2 more answers

What is the probability that a 44% free throw shooter will miss her next free throw?

stellarik [79]

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3 years ago

Which statement is true?

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

so by process of elimination it can’t be A as it is a 7hr journey

B is also incorrect as she travels 50mph not an additional 50miles per hour (50m in hour one then 100m in hour 2 )

C is also incorrect as she travels 50 miles in ann hour not in 6

D is correct as she has travelled 200 miles

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4 years ago

F(x) = 5x + 4<br> g(x) = 5x2 – 7x – 2<br> Find: f(x) · g(x)

weeeeeb [17]

Answer:

$25x^{3}-15x^{2} -38x-8$

Step-by-step explanation:

Multiply the equations together

(5x+4)(5x^2-7x-2)

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Add like terms

25x^3-15x^2-38x-8

7 0

3 years ago