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3 years ago

PLEASE HELP 20 POINTS

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

6 0

You divide the following bumbers

Alexeev081 [22]3 years ago

6 0

The average time of Car 1 is 4.16 seconds
The average time of Car 2 is 8.41 seconds
The average speed of Car 1 is 0.48m/s
The average speed of Car 2 is 0.24m/s

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Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square

professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is $xy=10$

Also, given the sum of the squares of the numbers is 29 that is $x^2+y^2=29$

and the sum of the cubes of the numbers is 133 that is $x^3+y^3=133$

Using, the given identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ ,

Substitute, the given values, we have,

$(x+y)(29-10)=133$

Simplify , we get,

$(x+y)(19)=133$

Divide both side by 19, we have,

$(x+y)=7$

Thus, the sum of two numbers is 7.

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0.01x=0.6
0.01x/0.01=0.6/0.01
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x=60

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