Review the graph.What is the magnitude of the vector shown?

5
13
StartRoot 5 EndRoot
StartRoot 13 EndRoot
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Answers

Answer 1
Answer:

The required magnitude of the vector is √13. Option D is correct.

A graph is given, that shows the vector, the magnitude of the vector is to be determined.

What is vertex form?

Vector form is defined as representing any point in space that has both magnitude and direction.  A point k in space is represented as a vector OKi + OKj, which denotes the vector line, OK joining the line from the origin O to the point k. The vector form is used to define a line or a plane in a 3D space.

From the figure,
given vector can be expressed as,
\bar v = 3\bar i+2\bar j
now the magnitude of vactor,
|\bar v| = √(3^2+2^2)\n|\bar v| = √(9+4)\ \n|\bar v| = √(13)\

Thus, the required magnitude of the vector is √13. Option D is correct.

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Answer 2
Answer:

Answer:

D. sqrt 13

Step-by-step explanation:

took on edge :)


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A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation y=-x^2+4x+6. What is the turning point of the rocket's path?1) (1,5)
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3) (-2,-10)
4) (1,-5)

Answers

y=-x^2+4x+6 \n \na =-1, \ b = 4 , \ c=6 \n \n The \ vertex \ is \ (x,f(x)) \n \nx=(-b)/(2a) =(-4)/(2\cdot (-1))=(-4)/(-2)=2\n \n f(2)=-x^2+4x+6 =-2^2+4 \cdot 2+6 =-4+8+6=10 \n \n The \ vertex \ is \ (2,10) \n \n \n Answer: \ 2) \ \ (2,10)

A circular skating rink has a radius of 40 feet. Which expression can be used to find the circumference of the skating rink, in feet?

Answers

The expression used is the circumference of a circle which is 80π

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A circular skating rink has a radius of 40 feet.

∴  The expression can be used to find the circumference of the

skating rink is 2π(40) = 80π feet.

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Circumference of a circle = 2 \pi r

They are all multiplied by each other
r = radius 
we know our radius is 40 
and... \pi = 3.14 

so we would use this expression 
3.14 x 40 x 2 

As a added bonus ill solve it for you :P
3.14 x 40 x 2 = 251.2 
The circumference of this ice skating rink is 251.2 feet 

Tiffany pays $40 for 160 minutes of talk time on her cell phone. Hpw how many minutes of talk time does she get per dollar?

Answers

the answer is ............................4

If x = 3z and z=2y, then x=?

Answers

Answer:

x = 6y

Step-by-step explanation:

x = 3z and z=2y

Substitute the second equation into the first

x = 3 (2y)

x = 6y

What does the remainder theorem conclude given that f(x)x+5 has a remainder of 17? Enter your answer by filling in the boxes.

Answers

The remainder theorem is an easy way of calculating the remainder from polynomial division.

The conclusion of remainder theorem, here is that: f(-5) = 17

We have:

(f(x))/(x + 5) and a remainder of 17

The general rule of the remainder theorem is that:

For (f(x))/(x + a) and a remainder of b

It means:

f(-a) = b

By comparing

(f(x))/(x + a) and (f(x))/(x + 5)

It means:

a = 5 and b = 17

So:

f(-a) = b becomes

f(-5) = 17

Hence, the conclusion is that:

f(-5) = 17

Read more about remainder theorems at:

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Answer:

f(-5)=17

Step-by-step explanation:

Took the quiz.

What is the absolute value of -10

Answers

absolute value is basically made everything positive, so it is 10! :)

the absolute value of -10 is 10 because that is the opposite number.
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