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3 years ago

6x + y = -39 3x + 2y = -15 elimination using multiplication

1 answer:

5 0

Multiply the second equation by 2 so that its
6x+4y=-30
then subtract
6x+y=-39
6x+4y=-30
= -3y=-69
divide by -3 to isolate the y
then you get y=23
substitute the y value back into one of the equations to solve for x.
6x+23=-31
solve like you always do and you'll get your x
Congratulations, you solved a problem.

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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

Choose the values of the range given the function below. {(-1, -3), (5,7). (8. -4), (-7, 3), (-5, 11)}

lyudmila [28]

Answer:

the answer is 53454

Step-by-step explanation:

1+1=1

6 0

2 years ago

Which is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

iren2701 [21]

Equation of circle is (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
r^2 = (2 - 3)^2 + (-1 - 4)^2 = (-1)^2 + (-5)^2 = 1 + 25 = 26
Equation is (x - 2)^2 + (y + 1)^2 = 26

8 0

3 years ago

A= h(b+c) solve for b

madreJ [45]

A=h(b+c)
A/h=b+c
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Answer: b=(A/h)-c

7 0

2 years ago

Read 2 more answers

Please help I will give brainliest

Hunter-Best [27]

Answer:

Step-by-step explanation:

IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY

so I'm pretty sure u the arch equals twice the angle

so pi/2*2 = pi so D

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2 years ago