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3 years ago

If v = 6i + 3j, what is ||-10v||

Mathematics

1 answer:

tia_tia [17]3 years ago

6 0

The values of ||-10v|| is 51.96 units

Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.

The general form of a complex number is expressed as z = x + iy

Given the complex number v = 6i + 3j,

10v is expressed as 10(6i + 3j)

10(6i + 3j) = 60i + 30j

Take the modulus of the complex number:

$|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units$

Hence the values of ||-10v|| is 51.96 units

Learn more on the complex numbers here: brainly.com/question/10662770

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PQRS is a parallelogram. PR and QS are diagonals. Match each element to its value. Tiles value of length of value of length of

ss7ja [257]

Since it is a parallelogram cente at point T, then the measure of PT is equal to the measure of TR. And the measure of QT is equal to the measure of TS.

PT = TR

a + 4 = 2a

4 = 2a -a

a = 4

PT = TR = 8 units

QT = TS

b = 2b -3

3 = 2b – b

b = 3

<span>QT = TS = 3 units</span>

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3 years ago

Read 2 more answers

Let f(X)=3√x

SOVA2 [1]

g(x) = 3√(x-5) -1

The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.

Horizontal stretching: It means the graph is elongated or shrink in x direction.

Vertical stretching : It means the graph is elongated or shrink in y direction

Vertical translation : It means moving the base of the graph in y direction

Horizontal translation : It means moving the base of the graph in x direction

According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.

Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get

g(x) = 3√x -1

According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.

Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get

g(x) = 3√(x-5) -1

To learn more about graphical transformation, refer to brainly.com/question/4025726

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2 years ago

Enguun earns $17 per hour tutoring student athletes at Brooklyn University. a) If Enguun tutored for 12 hours this month, how mu

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Answer: a) $204 b) $331.50

Step-by-step explanation: a) 17 x 12 b) 17 x 19.5 (Sorry, I can't do a diagram, you have to do it by yourself...)

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3 years ago

Solve the system of equations by graphing: 2x + 3y = 2 6x + 18y = 9

cluponka [151]

The answer is A: x=1/2 , y= 1/3

Solve the following system:
{2 x + 3 y = 2 | (equation 1)
{6 x + 18 y = 9 | (equation 2)

Swap equation 1 with equation 2:
{6 x + 18 y = 9 | (equation 1)
{2 x + 3 y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{6 x + 18 y = 9 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Divide equation 1 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:
{2 x + 6 y = 3 | (equation 1)
{0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x+y = 1/3 | (equation 2)

Subtract 6 × (equation 2) from equation 1:
{2 x+0 y = 1 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Divide equation 1 by 2:
{x+0 y = 1/2 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Collect results:
Answer: {x = 1/2, y = 1/3

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3 years ago

Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many

AnnZ [28]

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

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3 years ago