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2 years ago

I REALLY NEED HELP WITH THESE PROBLEMS I WILL AWARD BRAINLIEST

Mathematics

1 answer:

exis [7]2 years ago

5 0

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The product of two number is 20 and the sum of square is 41 find the number

Marianna [84]

Let the two number is a and b

so,

product =ab=20

sum of square= $\bold{a^2+b^2=41 }$

Then,

$\bold{(a+b)^2=a^2+b^2+2ab }$

$\bold{ (a+b)^2=41+2×40 }$

$\bold{ (a+b)^2=81 }$

$\bold{a+b=\sqrt{81} }$

$\bold{a+b=9 }$ •••••••••(equation I)

Now,

$\bold{(a-b)^2=a^2+b^2-4ab }$

$\bold{ (a-b)^2=41-4×20 }$

$\bold{(a-b)^2=41-40 }$

$\bold{a-b=\sqrt{1} }$

$\bold{a-b=1 }$ ••••••••(equation II)

Now,combine the equation I and equation II

we,get

$\bold{a+b+a-b=9+1 }$

$\bold{a+\cancel{b}+a\cancel{-b}=10 }$

$\bold{ 2a=10 }$

$\bold{a=\dfrac{10}{2} }$

$\blue{\boxed{ a=5 }}$

Then,

put the value of a in equation II.

we get that,

$\bold{5-b=1 }$

$\bold{b+1=5 }$

$\bold{b=5-1 }$

$\bold{\boxed{\blue{b=4}} }$

so, 

The two number is 5 and 4.

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2 years ago

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What is the relationship between gross pay and net pay? A. Gross pay is less than net pay. B. Gross pay is more than net pay. C.

Reptile [31]

I believe the answer is C, because net pay is the amount that an employee takes home after deductions. Gross pay is the amount that the employee actually earns. It's practically the same thing. Just net pay is the monthly profit.

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3 years ago

Suppose I live in a society with two goods: X and Y. Production of ________________ is my next best alternative to the productio

skelet666 [1.2K]

Answer:

opportunity cost

Step-by-step explanation:

The Production Possibilities Curve, shows the maximum combinations of two goods a theoretical economy can produce with the current state of technology and given the available resources.

Any increase in the production of one commodity must be done at the expense of the other, the opportunity cost of the good increased is the number of unit of the other that we have to give up.

in this question the opportunity cost of producing 10 more unit of good X is the 5 units of good Y that was given up.

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3 years ago

S 0.4544555444........ Rational or Irrational? Why

stepan [7]

Answer:

Rational

Step-by-step explanation:

Its rational because it has the same numbers/pattern

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2 years ago

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4. A plane was flying at an altitude of 55,000 feet when it began the descent toward the airport. The airplan

marin [14]

Answer:

Step-by-step explanation:

A Descent rate,

B 10725ft,

C 25min

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2 years ago

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