find 2u if vector u has initial point of (2,-1) and terminal point (3,1)

Answer:

48 sq

Step-by-step explanation:

Answer:

After finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]

Step-by-step explanation:

We need to find like terms and simplify the expression [tex]4- 2x + x^2 + 5x + 12 + 2x^2[/tex]

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

[tex]4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16[/tex]

So, after finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]

Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

[tex]4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16[/tex]

So, the answer will be: [tex]\mathbf{3x^2-7x+16}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

there isnt anything else to solve so there is no need of order of operation, u would just do 6x21 which is 126

Answer:

k= 13

Step-by-step explanation:

Answer:

the answer is 120 because 1500/ 2% or 0.02 = 30 and multiply by 4 equals 120

Step-by-step explanation:

hope this helps :l

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

Answer:

4 and 7

Step-by-step explanation:

4 for 16

7 for 49

Answer:

The answer should be $5,000

Step-by-step explanation:

Answer:

The answer is x=-7/2

Step-by-step explanation:

hope this helps

6x + 9 = -12

6x+9-9=-12-9

6x=-21

To find the x divide both side by 6.

6x/6=-21/6

x= -7/2

the answer to this question is = (- 7/2)

Answer:

Distributive property is one of them

Step-by-step explanation:

false

                                                                                                                                                   vdvfvfddfvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Answer: Use operations combined terms and solve by insulating the

Equation

Step-by-step explanation:

Answer:

B and B

Step-by-step explanation:

Answer:

the correct answer is A

and A

Answer:

explanation=

2(7)-5

14-5

=9

Answer:9

Step-by-step explanation:2(7)-5=9

Answer: 49:77

Step-by-step explanation:

Answer:

No, because it does not have a constant rate of change. Making it not a function.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Plot both lines and then take the y-value from the point where they intersect.

HTH :)

Answer:

Step-by-step explanation:

reverse solve it.

10*8=80

80/5=16

Answer:

Step-by-step explanation:

5x/8 = 10

multiply both sides by 8

5x = 80

divide both sides by 5

x = 16

Answer:

(19.6,-12)

Step-by-step explanation:

Answer:

x=

98

5

and y=−12

Step-by-step explanation:

this is what i got

Answer:

73.015873015873%

Step-by-step explanation:

Convert fraction (ratio) 46 / 63 Answer: 73.015873015873%

Answer:

73.015873015873%

Step-by-step explanation:

i like your profile pic

Answer:

I would think the set answer

Answer:

100

Step-by-step explanation:

250 divided by 2  =125 multiplied by .20 to get 25 then minus 25 from 125 to get 125

Answer:522

522x18=  so 522x8=4176    522x1=522 add those up and get 4176+522=4698

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer: C. 1 1/3

Step-by-step explanation:

Slope is calculated by the change in y/the change in x.

Plug values from the table into the equation:

(19-15)/(4-1)

Evaluate and Simplify:

4/3 -> 1 1/3

Answer:

The ball will reach a maximum height of 39.993 meters after 1.428 seconds.

Step-by-step explanation:

Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:

[tex]K_{1}+U_{g,1} = K_{2}+U_{g,2}[/tex] (1)

Where:

[tex]K_{1}[/tex], [tex]K_{2}[/tex] - Initial and final translational kinetic energies, measured in joules.

[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.

By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:

[tex]\frac{1}{2}\cdot m\cdot v_{2}^{2}+m\cdot g\cdot y_{2}= \frac{1}{2}\cdot m\cdot v_{1}^{2}+m\cdot g\cdot y_{1}[/tex] (2)

Where:

[tex]m[/tex] - Mass of the ball, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speed of the ball, measured in meters per second.

[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final heights of the ball, measured in meters.

The final height of the ball is determined by the following formula:

[tex]v_{2}^{2}+2\cdot g\cdot y_{2} = v_{1}^{2}+2\cdot g\cdot y_{1}[/tex]

[tex]v_{1}^{2}-v_{2}^{2}+2\cdot g \cdot y_{1}=2\cdot g\cdot y_{2}[/tex]

[tex]y_{2} = y_{1}+\frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g}[/tex] (3)

If we know that [tex]y_{1} = 30\,m[/tex], [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the maximum height that the ball will reach is:

[tex]y_{2} = 30\,m + \frac{\left(14\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)}[/tex]

[tex]y_{2} = 39.993\,m[/tex]

The ball will reach a maximum height of 39.993 meters.

Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:

[tex]t = \frac{v_{2}-v_{1}}{-g}[/tex] (4)

If we know that [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then:

[tex]t = \frac{0\,\frac{m}{s}-14\,\frac{m}{s} }{-9.807\,\frac{m}{s^{2}} }[/tex]

[tex]t = 1.428\,s[/tex]

The ball will take 1.428 seconds to reach its maximum height.