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2 years ago

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The equatorial circumference of Earth is 4.01 x10^4 kilometers. One kilometer is equivalent to 3.94 x10^4 inches. What is the eq

uatorial circumference of Earth in inches?

1 answer:

krok68 [10]2 years ago

5 0

The answer is 1,57,940,000

$\sf\blue{hope\:it\:helps}$

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In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?

JulsSmile [24]

- 3 x² - 4 x + 5 = 0
$x_{1} = \frac{4+ \sqrt{16+60} }{-6} = \frac{4+8.718}{-6}$
x1 = -2.12
$x_{2} = \frac{4-8.718}{-6}$
x2= 0.786

4 0

3 years ago

Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

#learnwithBrainly

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3 years ago

The area of a rectangle is found by multiplying its length and width together. Calculate the area, in square feet, of the room y

Vinil7 [7]

Answer:

Where is the question? Did you forget to attach the image, or did you need to create several possibilities?

Step-by-step explanation:

If you wanted several possibilities:

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3 years ago

The area of a triangle is 41 yd^2, with a base of 5 yards. What is the height, in yards?

Annette [7]

Answer:

I am pretty sure the answer would be A.

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3 years ago

What are the greatest common factor of 20x76 and 8x92?

adelina 88 [10]

Gcf of 20 time 76 is 4

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2 years ago