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3 years ago

I will ive brainliest answer

Mathematics

2 answers:

yarga [219]3 years ago

8 0

The red line is y=1/2x -4 while the blue one is y=-2x+1. It's the last statement

iogann1982 [59]3 years ago

8 0

For this case what you should do is see the point of intersection of both graphics.

The point of intersection represents the solution of the system of equations.

We have then that the solution is given by:

$(x, y) = (2, -3)$

We have then that the system of equations is:

$(1/2) x-4 = -2x + 1$

Substituting the value of x = 2 the result on both sides of the equation must be -3.

We have then:

$(1/2) (2) -4 = -2 (2) +1\\1-4 = -4 + 1\\-3 = -3$

Abswer:

$(1/2) x-4 = -2x + 1$

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A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve

sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: $x(t)=c_1e^{-t/4} +c_2te^{-t\4}$ .

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

$x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85$ .

Hence, $x(t) =-0.6e^{-t/4}+1.85te^{-t/4}$ .

5 0

3 years ago

Suppose ABC added a new point, D. If the coordinates of D were (5, 2), what would be the coordinates of D' have to be if it foll

atroni [7]

Answer:

C the coordinates are just fliped since It was flipped on the y- axis

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How many miles can you go on 28 gallons

ArbitrLikvidat [17]

Answer:

depends on how many miles you can go on 1 mile.

6 0

2 years ago

Read 2 more answers

Explain when you know you need to rename avmakes numbers do you subtract

Ivan

Use what you know about subtracting whole numbers and fractions to subtract mixed numbers.

7 0

3 years ago

Write an equation of the line that passes through 3,1 and 0,10

elena-14-01-66 [18.8K]

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

3 0

3 years ago