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andreyandreev [35.5K]

3 years ago

15

Use the scale factor to find the length of the image.

1 answer:

yawa3891 [41]3 years ago

4 0

You have that the scale factor is 8 and the length of the figure is 10 yards. Therefore, to solve this exercise, and calculate the length of the image, you must follow the proccedure below:

1. If the scale factor is 8, this means that lenght of the image is 8 times bigger.

2. Keeping this on mind, you only have to multiply 8 by 10 yards, as below:

Length of the image=8x10 yards
Length of the image=80 yards

3. Therefore, the answer is the option C:

C. 80 yd

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If 400 kids went to the amusement park and only 120 came back how many got lost?

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280

Step-by-step explanation:

400 - 120=280

280= number of children lost

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A function, f(x) = 4x + 5, has a domain 0 < x < 50. What is its range?

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The polynomial 6x^2 +37-60 represents an integer. Which expressions represents integer factors of 6x^2+37-60 for all values of x

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3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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2 years ago