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2 years ago

Somebody please tell me the answer ..

Mathematics

2 answers:

Solnce55 [7]2 years ago

8 0

Answer:

y= -3/4 -0.5

...................

I need help with chemistry if anyone can help just look at my question and answer it please

Naily [24]2 years ago

4 0

Answer:

y=-3/4-0.5.

Step-by-step explanation:

Gradient=y2-y1/x2-x1.

=-5-4/6-(-6).

=-9/12.

=-3/4.

Equation of the line y=mx+c.

- 5=-3/4(6)+c.

- 5=-4/1/2+c.

- 5+4/1/2=c.

- 0.5=c.

Therfore y=-3/4-0.5.

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

frez [133]

Answer:

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

Step-by-step explanation:

Given

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

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

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

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

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

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

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

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

6 0

3 years ago

Si se invierten $ 500 a una tasa de 5% anual. Hallar el valor futuro a 3 años si el interés es compuesto trimestralmente.

9966 [12]

Answer:

the future value is $5800.38

Step-by-step explanation:

Given that

The invested amount i.e present value is $500

The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%

The time period is 3 per year so for quartely it is 3 × 4 = 12

We need to find out the future value

So as we know that

Future value = Present value × (1 + rate of interest)^time

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hence, the future value is $5800.38

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2 years ago

Divide £2400 into the ratio 5:7

sergiy2304 [10]

Answer:

£1000, £1400

Step-by-step explanation:

Sum the parts of the ratio 5 + 7 = 12 parts

Divide the amount by 12 to find the value of one part of the ratio.

£2400 ÷ 12 = £200, thus

5 parts = 5 × £200 = £1000

7 parts = 7 × £200 = £1400

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