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3 years ago

Find three numbers whose sum is 6 and whose sum of squares is a minimum.

1 answer:

4 0

Números que suman 6:

3 + 2 + 1 = 6=> 3^2 + 2^2 + 1^2 = 9 + 4 + 1 = 14
4 + 3 - 1 = 6 => 4^2 + 3^2 + (-1)^2 = 16 + 9 + 1 = 26 => do not use negative numbers, because that will increase the other numbers.

5 + 1 + 0 = 6 => 5^2 + 1 + 0 = 25 + 1 + 0 = 26

4 + 2 + 0 = 4^2 + 2^2 + 0 = 16 + 4 = 20

When you use zero the you increase the sum of the squares.

Then the three numbers that yields the minimum sum of the squares is 1, 2 and 3.

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Brilliant_brown [7]

The answer is -2 1/6

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3 years ago

Which system of equations has the solution (4,−2)?

Marat540 [252]

Answer:

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

2x - y = 10

We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

3x = 12

x = 12/3

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4 + y = 2

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2 years ago

Mario has a very disorganized sock drawer. Inside, there are 12 black socks and 16 white socks. Without looking, Mario takes one

BlackZzzverrR [31]

Given

12 black socks

16 white socks

Without looking, Mario takes one sock out of the drawer and then takes out another without replacing the first sock

Which expression shows one way to find the probability that he will take out two white socks?

Procedure

for the first white socks

$\frac{16}{16+12}=\frac{16}{28}=\frac{4}{7}=0.5714$

for the second white socks

$\frac{15}{15+12}=\frac{15}{27}=\frac{5}{9}=0.555$

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1 year ago

Please help me now plz <br> I will mark you brainliest

cricket20 [7]

Answer:

B.) x=5

Step-by-step explanation:

Use the Pythagorean theorem. Since it isosceles, both values of x are the same. Split 6 in half (because perpendicular bisector).Insert values:

$a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x$

X is equal to 5.

Done.

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4 years ago

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Answer:

Step-by-step explanation:

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4 years ago

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