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2 years ago

Does anyone know the answer

Mathematics

2 answers:

Amanda [17]2 years ago

6 0

The period of the given function is 10

slamgirl [31]2 years ago

5 0

Answer: The period of the given function is 10

Step-by-step explanation:

The period of a function is the distance required to complete a full cycle (In which the portion of the graph repeats itself however in both direction)

Since, by the given diagram,

After 10 unit, the one cycle of the function is completed,

⇒ The period of the given function is 10.

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

2 years ago

Read 2 more answers

What is the solution to the system of equations? (You can either do the substitution or elimination method) x - 2y = 19 x + 3y =

masha68 [24]

Answer:

D. (17,-1)

Step-by-step explanation:

We'll start by canceling out x. To do so, multiple the first equation by -1

-1( x - 2y)=( 19 )(-1)

This gives us:

-x +2y = -19

x + 3y = 14

Add the equations together:

→ 5y = -15

→ y = -1

Plug in y = -1 into an equation:

→ x + 3(-1) = 14

→ x - 3 = 14

→ x = 17

(17,-1)

Hope this helps!

4 0

2 years ago

Simplify the fraction.<br><br><br> what is 42 over 98

Darya [45]

42/98=3/7
Have a great day :)

4 0

3 years ago

Read 2 more answers

Write the equation of a line, in slope-intercept form<br> (1,1);(-2,-11)<br> Y =

bonufazy [111]

Answer:

Y =4X -3

Step-by-step explanation:

x1 y1 x2 y2

1 1 -2 -11

(Y2-Y1) (-11)-(1)= -12 ΔY -12

(X2-X1) (-2)-(1)= -3 ΔX -3

slope= 4

B= -3

Y =4X -3

6 0

2 years ago

Read 2 more answers

A rectangle is 7 feet long by 5 feet wide. If 3 feet are removed from the length of the rectangle, what would be the area, in sq

katrin [286]

The answer to your question would be 25 sq ft

6 0

2 years ago