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Zigmanuir [339]
2 years ago
10

If x+y=12 and xy=27 . find x^3+y^3pls help with steps ​

Mathematics
2 answers:
Ivan2 years ago
8 0

Answer:

Step-by-step explanation:

use formula

x^3+y^3=(x+y)^3-3*x*y(x+y)

=12^3-3*27(12)

=1728-972

=756

luda_lava [24]2 years ago
6 0

Answer:

x^3 + y^3 = 756

Step-by-step explanation:

Given that,  x+y=12 and xy=27

We know that,

( x + y )^3 = x^3 + y^3 + 3xy(x + y)

∴ 12^3 = x^3 + y^3  + 3 * 27 * 12

=> 1728  = x^3 + y^3 + 972

x^3 + y^3 = 1728 - 972

==>  x^3 + y^3 = 756

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irina1246 [14]
2.8 = 2 + 0.8

*let's analyze the decimal 0.8 as a fraction

0.8 = 8/10

*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:

(8/2)/(10/2) = (4)/(5) = 4/5

*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:

2*(5/5) = (2*5)/5 = 10/5

*Now we add the fractions together:

2 = 10/5
0.8 = 4/5

10/5 + 4/5

*add numerators only, the denominator stays as a 5

(10 + 4)/5 = 14/5

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answer is: 14/5

8 0
3 years ago
Read 2 more answers
URGENT!! NEED THIS IN TWO HOURS. DUMB ANSWERS WILL BE REPORTED ALTHOUGH I UNDERSTAND IF YOU MAKE A SIMPLE MISTAKE IN YOUR CALCUL
Andre45 [30]

Yo sup??

The given points are (1,1),(1,3) and (9,2)

equation of circle is

8x²+8y²+ax+by=0

let us plug in (1,1) in the equation we get

8+8+a+b=0

a+b=-16

let us now plug in (1,3) in the equation

8+8*3²+a+3b=0

a+3b=-80

let us. now solve the two equation in terms of a and b

we get

2b=--64

b=-32

and

a=-16+32

=16

therefore the equation is

8x²+8y²+16x-32y=0

Hope this helps

6 0
3 years ago
2. Solve: 33 + 2(5+8)-(6-2)
mars1129 [50]

Answer:

55

Step-by-step explanation:

Add the numbers 5 + 8 and you get 13. Multiply 13 x 2 which is 26. Add 33 + 26 and you get 59. Then, subtract it by 4 and you get 55.

6 0
3 years ago
Dani’s estimate for the cost of tiling her bathroom is $50 plus $3 per square foot. She says that she can model the cost with a
jarptica [38.1K]
She is correct.

She starts with 50
Each square foot adds 3 dollars...
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4 0
3 years ago
Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other
kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}

So, we use the cosine rule , which states that

 c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03

So, c = x= 106.03 mi.

Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.


8 0
3 years ago
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