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3 years ago

Mr Taylor brought back 180 Euros to the UK. The exchange rate was €1.2 to £1.

1 answer:

6 0

The answer is £150.

This could be calculated using proportion. If £1 is €1.2, how many £ is €180:
£1 : €1.2 = x : <span>€180
</span>x = £1 ÷ €1.2 × <span>€180</span>
x = £150

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Answer:

345 sq. ft

Step-by-step explanation:

You know that the area is the length times the width. Simply plug in values to your equation:

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3 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

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Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

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Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

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$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

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$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

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In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

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3 years ago

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