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2 years ago

What is the factorization of 216x12 – 64?

Mathematics

1 answer:

GalinKa [24]2 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

The correct factoring can be found by looking at the first exponent in the second set of parentheses.

The factorization of ...

(a^3 -b^3)

is ...

(a -b)(a^2 +ab +b^2)

Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...

a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice

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Earth's radius is approximately 6400 km. What is the surface area & volume of the earth?

Tamiku [17]

Answer:

$SA=514,457,600\ km^{2}$

$V=1,097,509,546,667\ km^{3}$

Step-by-step explanation:

step 1

Find the surface area

we know that

the surface area of a sphere is equal to

$SA=4\pi r^{2}$

substitute

$SA=4 \pi (6,400)^{2}$

$SA=163,840,000 \pi\ km^{2}$

substitute the approximate value of pi (3.14)

$SA=(3.14) (163,840,000)$

$SA=514,457,600\ km^{2}$

step 2

Find the volume

The volume is equal to

$V=(4/3)\pi r^{3}$

substitute

$V=(4/3)(3.14) (6,400)^{3}$

$V=1,097,509,546,667\ km^{3}$

8 0

2 years ago

Read 2 more answers

A little girl has learned how to write digits. So far, she knows only: one, two,

kolbaska11 [484]

Answer:

it's what will be left when it's divided

3 0

3 years ago

The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

Here as the Pentagon is regular so it's all sides will be of equal length . And if we assume It's each side be s , then it's perimeter is going to be (s+s+s+s+s) = 5s.And as here , each side is increased by 8 inches and then it's perimeter is 65 inches , so we got that it's side after increament is (s+8) inches and original length is s inches . And if it's each side is (s+8) inches , so it's perimeter will be 5(s+8) and as it's equal to 65 inches . So , 5(s+8) = 65

${:\implies \quad \sf 5(s+8)=65}$

${:\implies \quad \sf 5s+5\times 8=65}$

${:\implies \quad \sf 5s+40=65}$

${:\implies \quad \sf 5s=65-40}$

${:\implies \quad \sf 5s=25}$

${:\implies \quad \sf s=\dfrac{25}{5}=5}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}$

As we assumed the original side to be s .

Hence, the original side's length 5 inches 

8 0

1 year ago

A number is multiplied by 5. If 12 is added to the product you get 37.

Korolek [52]

5x+12=37

5x=25

x=5

I hope this helps

5 0

3 years ago

PLS HELppppppppppppppp

Montano1993 [528]

Answer: B

Step-by-step explanation:

Oki so I know this becaue I study to much and because if there was an answer saying this : y=6x+3 it would be wrong because it is adding to the constant

So y=6x is proportinal because it is allways constant. I forgot this was an example sorry.

6 0

2 years ago

Read 2 more answers