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Molodets [167]
3 years ago
9

Select the correct answer. Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a directio

n opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v? A. v = B. v = C. v = D. v =
Mathematics
1 answer:
hram777 [196]3 years ago
6 0

Answer:

Step-by-step explanation:

vector u=<(11-(-7),(-5-2)>=<18,-7>

as direction is opposite to u

so vector v=-3(18,-7)=(-54,21)

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Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0
4 years ago
Thomas went for a long hike and burned 675 calories in 2 hours. Marvin decided to go for a bike ride and burned 1,035 calories i
Verizon [17]

Step-by-step explanation:

I am not sure I fully understand what your teacher wants from you, but I would say we only need to define the burning rate per hour for both people, and with that normed rate (number / hour) we can answer the main question directly.

Thomas burned 675 cal/ 2 hours.

by dividing to and bottom by 2 (it is important to do the same action on the top and the bottom to keep the value of the ratio unchanged) we get

337.5 cal / hour

and Marvin burned 1035 cal / 3 hours.

so, the same trick, this time dividing to and bottom by 3 to norm the whole ratio to a 1 hour baseline :

345 cal / hour

so, Marvin burned more calories per hour.

6 0
3 years ago
Write 66 2/3% as a fraction in its simplest form and decimal to the nearest hundreth.
seropon [69]
Ummmmmmmmmm I am so sorry I do not know this
3 0
3 years ago
What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?
myrzilka [38]

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

4 0
4 years ago
If the range of the function f(x) = 4x – 3 is {11.4, 15, 17, 29}, what is its domain?
Irina18 [472]
The range is the y-component of the function

the function looks like it just consists of 4 points which have y-coordinates of 11.4, 15,17, and 29

so in order to find domain (x-component of the function), you just substitute each y value, and find the corresponding x-value

11.4 =4x -3
14.4=4x
x=14.4/4

15=4x-3
18=4x
x= 18/4

etc etc
5 0
4 years ago
Read 2 more answers
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