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arlik [135]
3 years ago
12

Please help simplify with steps 

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0
Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to.  You just have to do exactly the same to both of
them.

The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.

Do you see all of those 'x's on the top and bottom ?  The top and bottom can
both be divided by x-cubed.

<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.

<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.

So, the simplified fraction is [  -4 / (1 - 2x)  ].

That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 .  Then it would be

                             4 / (2x - 1) .

Either one is fine.
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What's 221 rounded to the nearest 10
ycow [4]
It would be 220 rounded to the nearest ten because the number in the ones place does not equal or exceed 5. 

So 220 is your answer :)
4 0
3 years ago
A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.
VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

A = \frac{\theta}{360} * \pi r^2

This gives

A = \frac{135}{360} * 3.14 *  65^2

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

#SPJ1

4 0
2 years ago
Match the pairs of polynomials to their products.
Anna35 [415]
(x+3y) (x-3y) = x^2 9y^2
(x-y) (x+3y) = x^2+2xy-3y^2
(xy+9y+2) (xy-3) =  x^2 y^2 +9xy^2-xy-27y-6
(x^2+3xy-2) ( xy+3) = x^3 y+3x^2 y^2 +7xy-6
(2xy+x+y) (3xy^2-y) = 6x^2 y^3 +3x^2 y^2 +xy^2-2xy^2-xy-y^2
(xy+3x+2) ( xy-9) =  x^2 y^2 +3x^2 y -7xy-27x-18
4 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
2 years ago
The cost of a ticket increases by 10% to£18.15<br> Work out the original cost
Maksim231197 [3]

Let the original price = x

An increase of 10 % = 18.15

Multiply x by (1 + percent increase) which is 1.1x = 18.15

Now to find x divide both sides by 1.1:

X = 16.50

The original price was 16.50

4 0
3 years ago
Read 2 more answers
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