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3 years ago

11

Which expression is equivalent to (x^6 y^8) ^3 over x^2 y^2 ?

2 answers:

DiKsa [7]3 years ago

7 0

The answer would be D. because when the power of 3 is distributed to the x^6 and y^8, the simplified version would be x^18 y^24 because exponents are multiplied when outside of the parentheses. When that is put over x^2 y^2, you have to subtract the exponents to their matching variables. x^18 - x^2 = x^16 and y^24 - y^2 = y^22. So the final answer would be x^16 y^22.

Alekssandra [29.7K]3 years ago

7 0

The answer is D. x^16 y^22. Hope this helped!

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Write the equation of a parabola in conic form with a focus at (-2,-7) and a directrix at y=-1

iren2701 [21]

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it

7 0

3 years ago

Please answer this and look at the photo for info, and read below for to understand the math problem!

Dmitriy789 [7]

Answer:

Equation: $y = 14x$ .

It would take Martina 37 hours to earn $518

Step-by-step explanation:

✍️An equation that shows a proportional relationship between the time she spends babysitting (x) and amount of money she earns for babysitting (y) can be represented as $y = kx$ , where k = constant of proportionality.

Let's find k using any of the pairs given in the table of values. Let's use (1, 14).

Substitute x = 1, and y = 14 into $y = kx$ , and find k.

$14 = k(1)$

$14 = k$

Substitute k = 14 into $y = kx$ .

✅The equation would be:

$y = 14x$ .

✍️Using the equation, we can find how many hours Martina needs to work in order to earn $518 she wants to use to buy a new phone.

Simply, substitute y = 518 in $y = 14x$ .

$518 = 14x$

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✅Thus, it will take Martina 37 hours to earn $518

3 0

3 years ago

If the perimeter of the<br> rectangle is 36 inches,<br> what is the value of x?<br> X-3<br> 7x+5

AlekseyPX

Answer:

x = 2

Step-by-step explanation:

To find the value of x, we simply need to use the know values for the lengths, widths, and perimeter of the rectangle.

The formula for the perimeter of a rectangle is as follows:

P = 2L + 2W

Where P is the perimeter, L is the length, and W is the width.

Let L = 7x + 5 and W = x - 3

Now, we will simply plug our values into the formula and solve for x.

P = 2L + 2W

36 = 2 ( 7x + 5 ) + 2 ( x - 3 )

36 = 14x + 10 + 2x + -6

36 = 16x + 4

32 = 16x

2 = x

Thus, we have found the value of x to be 2.

Cheers.

8 0

3 years ago

At a shelter 15% of dogs are puppies there are 60 dogs at the shelter. How many are puppies?

Vesnalui [34]

9 of them are puppies because 15 percent of 60=9

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4 years ago

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fomenos

Answer:

$\sqrt{42}$ meaning the answer isnt there

Step-by-step explanation:

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4 years ago

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