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Klio2033 [76]
2 years ago
7

If a = 2m-n and b = -m +n , find the magnitude of c = 3a + 2b where m and n are two vectors inclined at 60°.

Mathematics
1 answer:
kati45 [8]2 years ago
7 0

Answer:a^2 +b^2 =c^2.

Step-by-step explanation:

square of magnitude of first vector + square of magnitude of second vector + twice the dot product of the two vectors whose sum's magnitude is to be found.

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Point M is the midpoint of AB . AM=3x+3, and AB=8x−6.<br><br> What is the length of AM?
MissTica
AM=3x+3
AB=8x-6
AB=2AM
AM=AB/2
AM=(8x-6)/2
AM=4x-3
3x+3=4x-3
4x-3x=3+3
x=6

AM=3x+3
AM=3(6)+3
AM=18+3
AM=21
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Answer:

18

Step-by-step explanation:

original 3:4

now 18:24

Multiply by 6

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A container has a capacity of 4 quarts. What is the capacity in pints
Firlakuza [10]

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What are the vertical and horizontal asymptotes for the function f(x)=3^2/x^-4
Zarrin [17]

The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3

Option A is the correct answer.

<h3>What are Function?</h3>

Function are mathematical statement which links an independent variable to dependent variable.

It always comes with a defined domain and range.

The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is

\rm f(x) = \dfrac{3 x^2}{x^{2}-4}

This function can also be written as

\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}

Vertical asymptotes are defined when the denominator of a rational function tends to zero.

To find the equation/s let the denominator equal zero.

Denominator tends to zero for x = -2 and x = +2

Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Let the rational function f(x)= \dfrac{mx^a}{nx^b}  where  and a and b are degree of numerator and denominator.

If a < b , then the y axis y = 0 is a horizontal asymptote.

If b = a then horizontal asymptote is the line y = p/q

Here the value is b = 2 and a = 2

Since b = a the horizontal asymptote is the line

y = m/n  where m = 3 and n = 1

Therefore y = 3

So , vertical asymptotes x = - 2, 2

Horizontal asymptotes y = 3

Option A is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

8 0
2 years ago
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