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
kvasek [131]
3 years ago
12

Given u⃗ =⟨3,4⟩ and v⃗ =⟨1,2⟩. Let m be the magnitude of vector u⃗ . Find u⃗ +mv⃗ .

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

\vec u+m\vec v=

Step-by-step explanation:

Being \vec u=<3,4> and \vec v=<1,2>, we must find

\vec u+m\vec v

If m is the magintude of \vec u:

m=\sqrt{a^{2}+b^{2}}

Where a and b are the components of \vec u

m=\sqrt{3^{2}+4^{2}}=5

\vec u+5\vec v=+5=+=

You might be interested in
the length of a rectangular garden is 3 m greater than the width. The area of the garden is 70m squared. find the dimensions of
Lerok [7]
A = l x w

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = l + 3

you then substitute the second equation into the first to solve for l

70 = l x (l +3)
70 = l^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula 

0 = l^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2

then you solve for the two seperate roots

l = -3 + 17 /2
l = 14 / 2
l = 7

or 

l = -3 - 17 / 2
l = -20 / 2
l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3
w = 7 + 3
w = 10 

hope this helps! if you did not understand a step or concept please let me know!
4 0
3 years ago
Anyone mind helping me out?
Igoryamba

Answer:

611 square miles

Step-by-step explanation:

Area of triangle = (1/2)*a*b*sinC (formula when u are not given the height of the triangle, but u are given with the angle.)

= (1/2)*30*47*sin(60°)

= 610.54 square miles (2 d.p)

≈611 square miles (rounded to nearest mile)

:)

4 0
2 years ago
Evaluate the following expression.<br> 9 +62 – 2.8=
posledela

Answer: I think it’s 68.2

3 0
2 years ago
Read 2 more answers
A circular plot of land has a diameter of 16 yards. What is the area of theland? Use 3.14 for it.O A. 803.84 yd2O B. 50.24 yd2O
Amiraneli [1.4K]

The area of the circle can be calculated with the following formula

A=\pi\cdot r^2

First let's find the radius

\begin{gathered} r=\frac{16}{2}\text{yds} \\ r=8\text{yds} \end{gathered}\begin{gathered} A=\pi\cdot8^2 \\ A=3.14\cdot64 \\ A=200.96\text{ yd2} \end{gathered}

The answer would be 200.96 square yards

6 0
1 year ago
If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value.
kotykmax [81]
This equation is falssseee
6 0
3 years ago
Other questions:
  • A rectangular prism shaped toy box is 52 centimeters long. The perimeter of one side of the box is 90 centimeters. The height of
    7·1 answer
  • Which of the following is NOT a reason for forced migration?
    8·2 answers
  • Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The
    8·1 answer
  • What is the y-intercept of the line with a slope of − 1/4 that passes through the point (−2, −9/2 )?
    5·2 answers
  • Describe the possible values of x.​
    6·1 answer
  • Please help me how to multiply
    13·2 answers
  • What is the solution to the inequality -4x -2 x -24<br> asap please :)
    10·2 answers
  • What are the domain and range of the function? F(x)=-3/5x^3
    5·2 answers
  • Sketch the graph for each function. Choose either A, B, C, or D.
    15·1 answer
  • Word form for 100,002
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!