1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SpyIntel [72]
2 years ago
9

Vector u has its initial point at (-7,2) and it's terminal point at (11,-5). Vector v has a direction opposite that of vector u,

and it's magnitude is three times the magnitude of u. What is the component form of vector v?
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
8 0

Answer:

3\vec{v}  = ( - 21,54)

Step-by-step explanation:

\vec{u}  =   (18,- 7)\Rightarrow  \vec{v}  = ( - 7,18) \Rightarrow  3\vec{v}  = ( - 21,54)

You might be interested in
There are 45 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 1/5 of the remaining house
Nastasia [14]
45 new houses...
1/3 were sold......1/3(45) = 45/3 = 15 houses sold.....leaving 45 - 15 = 30 houses left. 1/5 of remaining houses sold....1/5(30) = 30/5 = 6...so 6 more houses were sold.....leaving 30 - 6 = 24 houses

24 houses are left <==
6 0
3 years ago
Read 2 more answers
Given △ABC. m∠A&gt;m∠B&gt;m∠C. Perimeter=30. Which side of △ABC may have length 7?
lisabon 2012 [21]

<u>Solution-</u>

As given in △ABC,

m\angle A>m\angle B>m\angle C

As from the properties of trigonometry we know that, the greater the angle is, the greater is the value of its sine. i.e

\sin A>\sin B>\sin C

According to the sine law,

\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

In order to make the ratio same, even though m∠A>m∠B>m∠C, a must be greater than b and b must be greater than c.

\Rightarrow a>b>c

Also given that its perimeter is 30. Now we have to find out whose side length is 7. So we have 3 cases.

Case-1. Length of a is 7

As a must be the greatest, so b and c must be less than 7. Which leads to a condition where its perimeter won't be 30. As no 3 numbers less than 7 can add up to 30.

Case-2. Length of b is 7

As b is greater than c, so c must 6 or less than 6. But in this case the formation of triangle is impossible. Because the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. If b is 7 and c is 6, then a must be 17. So no 2 numbers below 7 can add up to 17.

Case-3. Length of c is 7

As this is the last case, this must be true.

Therefore, by taking the aid of process of elimination, we can deduce that side c may have length 7.


5 0
3 years ago
Solve this A tourist starts off from town A and travels for 50km on a bearing of N80°W to town B.At town B ,he continues for ano
VLD [36.1K]

Answer:

The point C is 12.68 km away from the point A on a bearing of S23.23°W.

Step-by-step explanation:

Given that AB is 50 km and BC is 40 km as shown in the figure.

From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|

=|50 sin 80° - 40 cos 20°|=11.65 km

The length of y-component of AC = |AB cos 80° - BC sin 20°|

=|50 cos 80° - 40 sin 20°|= 5 km

tan\theta= 5/11.65

\theta=23.23°

AC= \sqrt{5^2+11.65^2}=12.68 km

Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.

8 0
2 years ago
Are 7 and 42 relatively prime
Iteru [2.4K]
7 is a prime number, 72 is not a prime number.
Hope this helped!:)

8 0
3 years ago
What are the slope of the y intercept of the line represented by the points shown on the table
Art [367]
The Y intercept is where the function passes/ intercepts the y axis. On a table, it is where x is 0, in this case the y intercept is -20. The slope is found by change in y over change in x. So choose any two coordinates to find change. 10/5=2. So your answer is A.
6 0
3 years ago
Other questions:
  • Plz i need a quick help doing this question
    6·1 answer
  • How is the process of multiplying fractions different from the process of adding fractions
    6·2 answers
  • Only 15 and 16 are the one I'm confused on
    12·1 answer
  • A bag contains 17 cards numbered 1 through 17 . a card is randomly chosen from the bag. what is the probability that the card ha
    7·2 answers
  • A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone
    14·1 answer
  • Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value
    13·2 answers
  • Question 1(Multiple Choice Worth 2 points)
    15·2 answers
  • Failingggggggggggggg math 50 pointsssssssss
    9·1 answer
  • What value of x makes the equation true? 12(4x−5)+52=10 Drag and drop the correct number in the box.
    13·1 answer
  • Twice a number is 46 less than 4 times the number. Find the number.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!