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3 years ago

Solve the system algebraically.

2 answers:

8 0

<span>2x + y - 10 = 0
x - y - 4 = 0
------------add
3x - 14 =0
3x = 14
x = 14/3

</span>x - y - 4 = 0
14/3 - y - 4 = 0
y = 14/3 - 4
y = 4 2/3 - 4
y = 2/3

answer
y = 2/3
hope it helps

stepan [7]3 years ago

5 0

I think it's 14/3 too
:)

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

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3 years ago

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Answer:

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jeka57 [31]

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Step-by-step explanation:

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