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4 years ago

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion

Mathematics

1 answer:

Ksenya-84 [330]4 years ago

4 0

Answer:

-2/a³ m/s
-2 m/s
-1/4 m/s
-2/27 m/s

Step-by-step explanation:

The velocity is the derivative of position:

v = ds/dt = (d/dt)(t^-2) = -2t^-3

For t=a, the velocity is

-2a^-3 = -2/a³ . . . . meters per second

For t=1, the velocity is ...

-2·1³ = -2 . . . . meters per second

For t=2, the velocity is ...

-2·2^-3 = -2/8 = -1/4 . . . . meters per second

For t=3, the velocity is ...

-2·3^-3 = -2/27 . . . . meters per second

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Solve: 8+ x/2= 1/4 (x-4)-1

alexandr402 [8]

|3x+1|=4 : x=−
5
3 or x=1
Pasos
|3x+1|=4
Aplicar las propiedades de los valores absolutos: Pi |u| = a, a>0 entonces u = a or u = −a
3x+1=−4 or 3x+1=4
Mostrar pasos
3x+1=−4 or 3x+1=4

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3 years ago

Please Answer Quick 70 Points !

Kipish [7]

Answer:

The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

Step-by-step explanation:

we have

$2x-y=-5$ -----> First equation

$x+3y=22$ -----> Second equation

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (1,7)

The ordered pair (7,19) lie on the first line, so is a solution of the first equation

see the attached figure

Verify each statement

case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The statement is true

case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true

The statement is false, because the ordered pair (7,19) not lie on the second line

case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

The statement is true

case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true

The statement is false,because it makes only the first equation true

6 0

3 years ago

Solve and show your work. 1. 3(2x + 3) - 4x = -3 2. 26 = 3x - 2 - 7x

yKpoI14uk [10]

Answer:

1. x=-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+3)−4x=−3

(3)(2x)+(3)(3)+−4x=−3(Distribute)

6x+9+−4x=−3

(6x+−4x)+(9)=−3(Combine Like Terms)

2x+9=−3

Step 2: Subtract 9 from both sides.

2x+9−9=−3−9

2x=−12

Step 3: Divide both sides by 2.

x=-6

3 0

3 years ago

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mylen [45]

Answer:

Hmm for the 4th question i think its 36.4

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4 years ago

Two numbers, x and y, have a sum of 8 and a difference of –14. A. Write a system of equations that can be used to determine the

harina [27]

Answer:

The system is:

x + y = 8

x - y = -14

And the solution is:

x = -3

y = 11

Step-by-step explanation:

We have two numbers x and y, such that:

x + y = 8 (the sum is equal to 8)

x - y = -14 (the difference is equal to -14)

This is the system of equations we need to solve.

To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:

x = 8 - y

Now we can replace this in the other equation to get:

(8 - y) - y = -14

8 - 2*y = -14

8 + 14 = 2*y

22 = 2*y

22/2 = y

11 = y

Now we can replace this in the equation "x = 8 - y"

To get:

x = 8 - 11 = -3

Then the solution to the system is:

x = -3 and y = 11

3 0

3 years ago