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3 years ago

One of the factors of 1331x^3-8y^3

Mathematics

1 answer:

pav-90 [236]3 years ago

3 0

Difference of 2 perfect squares

remember
$a^3-b^3=(a-b)(a^2+ab+b^2)$
so
$(11x)^3-(2y)^3=(11x-2y)(121x^2+22xy+4y^2)$

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if you know that 7 x 8=56, how can you use the commutative property of multiplication to find the product of 8 x 7 ?

Fofino [41]

Its the same thing because your just switching the order which doesn't matter when your adding or multiplying

5 0

3 years ago

How to solve 4y=x 3x- y=70 using substitution

creativ13 [48]

X = 4y
3x - y = 70

substitute the x in the second equation with the other half of the first equation.

3(4y) - y = 70
12y - y = 70
11y = 70
y = 6.36 repeating, or 6 4/11

now use this to solve first equation
x = 4 (6 4/11)
x = 25.45 repeating

done

7 0

3 years ago

A paddleboat can move at a speed of 4 km/h in still water. The boat is paddled 12 km downstream in a river in the same time it

Bas_tet [7]

Answer:

Speed of the river = $\frac{4}{3}$ km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = $\frac{\text{Distance}}{\text{Speed}}$

= $\frac{6}{4-v}$ hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = $\frac{12}{4+v}$ hours

Since, time taken by the boat in both the cases is same,

$\frac{6}{4-v}= \frac{12}{4+v}$

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

18v = 24

v = $\frac{24}{18}$

v = $\frac{4}{3}$ km per hour

3 0

3 years ago

Ubi made a banana cream pie.His brother ate 1/3 of the pie and his sister ate 2/6 of the pie.

tamaranim1 [39]

2/3 of the pie had been eaten, there is 1/3 left

8 0

3 years ago

Holly invested £3000 in a savings account the account paid compound interest of 4% per year work out how much was in the account

pogonyaev

Exponential function
form of interest rates

P(1 + r)^x
where p is the prime and r is rate of change and x is time in years

3000(1 + 4%)^1
The answer would be
3000(1.04)^1 = 3120 Euros

3 0

2 years ago