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Temka [501]
3 years ago
10

Factor completely x3y6 – 64

Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

Answer:

x 3 y 6 − 64

is the difference of two cubes and can be factored in the following pattern.

a 3 − b 3 = ( a − b ) ( a 2 + a b + b 2 )

a 3

factors to a

b 3

factors to b

The pattern of the signs follows the acronym SOAP

S = same sign as the cubes

O = opposite sins of the cubes

AP = always positive

x 3 y 3

factors to xy

64

factors to 4

x 3 y 3 − 64 = ( x y − 4 ) ( x 2 y 2 + 4 x y + 16 )

Step-by-step explanation:

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Lorico [155]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
Hoochie [10]

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for 4\dfrac{2}{5} feet.

Juke's jump rope is 4\dfrac{3}{4} feet.

Cooper's jump is :

4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}

Juke's jump is

4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

4 0
3 years ago
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olganol [36]

Answer:

.33 liters of water and 3 liters of flour

Step-by-step explanation:

Well you can see how 1 liter of water is 3 liters of flour since there's a point on the graph, and you can find the liters of flour by just doing 1/3

8 0
3 years ago
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Find the simple interest paid for 7 years on a $600 loan at 5% per year.
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Answer:

Step-by-step explanation:

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Find the area of a circle with the diameter of 3 centimeters. Use 3.14 for pi ().
wlad13 [49]

Answer:

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Step-by-step explanation:

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Circle area formula:

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Plug in r:

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3 years ago
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