All categories

2 years ago

Given that OA= 11x +6y, OB=4x +10y and CO= - 13x+11y, write down each of the following vectors in its simplest form.

Mathematics

1 answer:

levacccp [35]2 years ago

8 0

Answer:

BA = 7x -4y
AC = 2x -17y

Step-by-step explanation:

a) BA = OA -OB = (11x+6y) -(4x +10y)

BA = 7x -4y

b) AC = -CO -OA = -(-13x +11y) -(11x +6y)

AC = 2x -17y

_____

The vector OC is the opposite of the vector CO.

You might be interested in

Given matrix A below, and that A = B, find the value of the elements in B. A = 9 −2 3 2 17 0 3 22 8 b11 = b12 = b13 = b21 = b22

GuDViN [60]

Answer:

$b_{11}=9,b_{12}=-2,b_{13}=3,b_{21}=2,b_{22}=17,b_{23}=0,b_{31}=3,b_{32}=22,b_{33}=8$

Step-by-step explanation:

Consider the given matrix

$A=\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right]$

Let matrix B is

$B=\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right]$

It is given that

$A=B$

$\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right]=\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right]$

On comparing corresponding elements of both matrices, we get

$b_{11}=9,b_{12}=-2,b_{13}=3$

$b_{21}=2,b_{22}=17,b_{23}=0$

$b_{31}=3,b_{32}=22,b_{33}=8$

Therefore, the required values are $b_{11}=9,b_{12}=-2,b_{13}=3,b_{21}=2,b_{22}=17,b_{23}=0,b_{31}=3,b_{32}=22,b_{33}=8$ .

3 0

2 years ago

Read 2 more answers

Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.

Rudiy27

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

2 a + b = 12 ----------------Equation 1

We have, she bought 3 more pens than pencils

a - b = 3 ------------------ Equation 2

Equation 1 +Equation 2,

2 a + b + a - b = 12 + 3

3a = 15

a = 5

Substituting in equation

5 - b = 3

b = 2

Number pencils Ava bought = 2

5 0

2 years ago

A) Find the coordinates of the points of intersection of the graphs with coordinate axes: b y=−2x+4

vova2212 [387]

Answer:

Step-by-step explanation:

y=−2x+4

y-int:

y=−2*0+4

y=4

x-int:

0=−2x+4

2x=4

x=2

(2,4)

2x+3y=6

y-int:

2*0+3y=6

3y=6

y=2

x-int:

2x+3*0=6

2x=6

x=3

(3,2)

1.2x+2.4y=4.8

y-int:

1.2*0+2.4y=4.8

2.4y=4.8

24y=48

y=2

x-int:

1.2x+2.4*0=4.8

1.2x=4.8

12x=48

x=4

(4,2)

4 0

2 years ago

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.