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Pavel [41]
3 years ago
9

Are the following vectors of u = <6,-4> and v = <2, -3> orthogonal? Could you please, briefly emphasis on why or why

not? Thank you.
Mathematics
1 answer:
melomori [17]3 years ago
6 0
Orthogonal vectors have a zero dot product.

\langle6,-4\rangle\cdot\langle2,-3\rangle=(6)(2)+(-4)(-3)=12+12=24\neq0

These vectors are *not* orthogonal.
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What is the common ratio for the sequence 5,-10,20,-40?
algol [13]

Answer:

The COMMON RATIO of the sequence is -2.

Step-by-step explanation:

Here, the given sequence  is:

5, -10, 20 ,-40

Here, The first term ( a 1 ) of the sequence is (5)

The second term (a 2) of the sequence is (-10)

Third term of sequence (a 3) is 20

Now, calculating the common ratio (r) of sequence ,we get:

\frac{a_2}{a_1} =  r  = (\frac{-10}{5}) = -2\\\frac{a_3}{a_2} =r  = (\frac{20}{-10}) = -2

So, here r =(-2)

⇒ The COMMON RATIO of the sequence is -2.

Hence, the given sequence in in GEOMETRIC PROGRESSION.

8 0
3 years ago
Use f(x)=(2x+1)/(3x-2) and g(x)=5x-1 to find <br> (gof)(x)
Orlov [11]

Answer:

From the functions f(x) and g(x) we have (g\circ f)(x)=\frac{7(x+1)}{3x-2}

Step-by-step explanation:

Given that the functions f is defined by f(x)=\frac{2x+1}{3x-2}

and g is g(x)=5x-1

To find the (g\circ f)(x) :

(g\circ f)(x)=g(f(x))

=g(\frac{2x+1}{3x-2})

=5(\frac{2x+1}{3x-2})-1

=\frac{10x+5}{3x-2}-1

=\frac{10x+5-1(3x-2)}{3x-2} ( by using the distributive property )

=\frac{10x+5-3x+2}{3x-2}

=\frac{7x+7}{3x-2} ( adding the like terms )

=\frac{7(x+1)}{3x-2}

Therefore (g\circ f)(x)=\frac{7(x+1)}{3x-2}.

5 0
4 years ago
The top letter is “L”<br> Please help!! Answer correctly and no guessing, please!
Mkey [24]

First you need to find out what K and L's angle is

Step #1: Finding L's angle number

to do this you are going to subtract  219-178=?

answer should be 41.

Step #2: Desiding if J is Larger than L

Is 219 Larger than 41? or is 41 larger than 219?

4 0
3 years ago
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BRAINIEST QUICKKKK!!!! You guys are really the best
wariber [46]
Use photo math it will be easier
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3 years ago
Express this number in scientific notation.<br> 31 billion
Nadusha1986 [10]

Answer:

3.1 * 10^10

Step-by-step explanation:

4 0
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