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
Kitty [74]
3 years ago
12

Determine

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

You might be interested in
Help Its due in 3 mins I will give brainliest
I am Lyosha [343]

Answer:

144 yd^2

Step-by-step explanation:

(9x12)+(6x6)

4 0
3 years ago
Read 2 more answers
Convert the following into metres.<br> A- 22cm<br> B- 180km<br> C-300mm
Alecsey [184]

<em>A) 22cm</em>

<em>(</em><em> </em><em>divide the length value by 100</em><em>)</em>

<em>2</em><em>2</em><em>/</em><em>1</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>

<em><u>=</u></em><em><u>0.22m</u></em>

<em>B</em><em>)</em><em> </em><em>180km</em>

<em>(</em><em> </em><em>multiply the length value by </em><em>1000</em><em>)</em>

<em>1</em><em>8</em><em>0</em><em>×</em><em>+</em><em>1</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>

<em><u>=</u></em><em><u>180000m</u></em>

<em>C</em><em>)</em><em> </em><em>300mm</em>

<em>(</em><em> </em><em>divide the length value by 1000</em><em>)</em>

<em>3</em><em>0</em><em>0</em><em>/</em><em>1</em><em>0</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>

<em><u>=</u></em><em><u>0.3m</u></em>

<em> </em>

4 0
2 years ago
Read 2 more answers
Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)
Monica [59]

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

7 0
2 years ago
Help please
Setler79 [48]

Answer: inconsistent

Step-by-step explanation:

Inconsistent systems have two lines that are two independent equations that don’t overlap. Basically, if the lines are parallel, the system will always be inconsistent.

4 0
2 years ago
Find the volume of a pyramid with a square base, where the area of the base is
never [62]

Answer:

V=60.28\ cm^3

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

V=\dfrac{1}{3}Bh

Put all the values,

V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3

So, the volume of the pyramid is equal to 60.28\ cm^3.

4 0
3 years ago
Other questions:
  • WHAT IS 5X SOMETHING THAT EQUALS 120 BESIDES 24 X 5? SOMEONE PLEASE
    14·1 answer
  • Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall is 16.5 feet wide and each poster is 5 3/4 f
    11·1 answer
  • Which points would be considered outliers? Check all that apply. (3, 9) (4, 4) (6, 5) (7, 1) (8, 7) (11, 2) none
    6·2 answers
  • What algebraic expression represents the phase “two times the quantity of a number minus 12”
    14·1 answer
  • The Blakely family plans to plant sod (grass) in their backyard. The yard measures 250 feet by 180 feet. The family has an in-gr
    8·1 answer
  • I forgot how to do smh. please help
    6·1 answer
  • What transformation of the parent function, f(x) = x^2, is the function f(x) = -(x + 2) ^2
    7·1 answer
  • Louise used this figure to model the expression 20 divided by 4.
    12·2 answers
  • Surface area of rectangular prism length6 height2 width4
    13·2 answers
  • Please help im not understanding please check this before skippping over it
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!