The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC​

Answers

Answer 1

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).


Related Questions

A. Reflection
B. Rotation
C. Translation
D. No Transformation

Answers

Answer:D I think might be wrong

Step-by-step explanation:

10.
Can someone help me solve this?​

Answers

Answer:

D. 12

Step-by-step explanation:

you put the x coordinate in place of c and that cancels it out so the answer is 12

Help meeeeee! plsssssssssssssssssssssssssssss

Answers

Step-by-step explanation:

Store a must offer 30%

25%
I hope this helped :)

What is the equation of the line that passes through the point (-3,4) and has a slope of zero?

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

Hope this helps.

Write the equation for the line with the given points (0,-3) and (2,9) in point slope form

Answers

Equation: Y = mx + b
First of all, we will solve for our M which is our slope.
M = Yb - Ya / Xb - Xa
M = 9 - (-3) / 2 - 0
M = 9 + 3 / 2 - 0
M = 12 / 2
M = 6

Now that we have our slope, we will be finding our y-intercept.
Y = mx + b
9 = (6)(2) + b
9 = 12 + b
= 9-12 = 12-12 + b (12 cancels out)
= -3 = b

So, therefore, the equation is: Y = 6x - 3

the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot

Answers

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Find the measure of each acute angle. PLEASE HELP !!

Answers

Answer:

7x=42°

8x=48°

Step-by-step explanation:

Sum of all interior angles in a triangle=180°

90+8x+7x=180

90+15x=180

15x=180-90

15x=90

x=90/15

x=6

The measure of each acute angle is 42° and 48°.

what is an Acute angle?

If an angle is less than 90 degrees, then it is called an Acute angle. Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Given there is a right triangle. since it's a right triangle angle one angle will always be 90 degrees.

Since the sum of all angles of any triangle is 180 degrees thus,

7x + 8x + 90 = 180

15x = 90

x  = 6

since each acute angles were 7x and 8x

hence those angles would be 42 and 48 degrees.

therefore, Each acute angle is 42° and 48° in size.

Learn more about acute angles here:

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How do you find the slope when you are only given an equation or a table?

Answers

Answer:

All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope in an equation is the number before the x

in a table it is y2-y1/x2-x1

can someone help please

Answers

Answer:

39.3078

Step-by-step explanation:

i am not for sure but i belive this is correct:)

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

Answers

Answer:

630.

Step-by-step explanation:

Given the following data;

Dimensions for cube = ¼ inches

[tex] Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4} [/tex]

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

[tex] Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4} [/tex]  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

[tex] Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube} [/tex]

Substituting into the equation, we have;

[tex] Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}} [/tex]

[tex] Number \; of \; cubes = \frac {315}{32} * 64 [/tex]

[tex] Number \; of \; cubes = 315 * 2 [/tex]

Number of cubes = 630

True or false: you flip the sign every time you multiply or divide when you're solving an
inequality.

Answers

False. You only flip when the number you are multiplying/dividing is negative.

What is (29-7) x 7^2+6

Answers

Answer:

used bedmas

Step-by-step explanation:

=(22)x49+6

= 1070+6

=1076

Write the equation of the line in slope-intercept that has passes through the points and (4, -8). (-3, 27) ​

Answers

Answer:

It's y = -5x + 12 and/or 5x + y = 12

Step-by-step explanation:

(x,y) is really helpful

*I believe that I'm correct, but I would recommend a quick double-check (just like any other math-related question)

PLEASE HELP THIS IS URGENT!!!
what is 2+2

Answers

Answer:

4

Step-by-step explanation:

Hope this helps!! Have a good day!

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

The length of a rectangle is five times its width.
If the perimeter of the rectangle is 84 m, find its length and width.

Answers

Answer:let

Length =L

Width =W

L=5W

Perimeter(p)=2L+2W

P=10W+2W

84=12W

Divide both sides by 12

W=7m

L=5*7=35m

Hence, the length and width are 35m and 7m respectively

Step-by-step explanation:

QUICK PLZ!!! Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.​

Answers

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $

Answers

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

How can simple interest to make saving money easy

Answers

Answer:

A bank with a simple interest savings plan will automatically transfer money from your paycheck to your savings account, letting you save without any extra effort.

13
y у
3
Х
4
What is y?

Answers

Y is 13 and X is 4 hope this helped

15 pointsss

The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?

A. $200
B. $87.50
C. $250
D. $350

Answers

The answer to this question is option B

Melissa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $ 0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish?

Answers

$12...................

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

Answers

Answer:

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

[tex]z\left(-6.4\:-3.5x\right)[/tex]

Apply distributive law:   [tex]a\left(b-c\right)=ab-ac[/tex]

Here:  [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]

so the expression becomes

[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]

                         [tex]=-6.4z-3.5zx[/tex]                 ∵  [tex]+\left(-a\right)=-a[/tex]

Therefore,

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, option 'C' is true.

solve the rational equation: 7 - 2/x = 4 + 10/x

Answers

Answer:

7 - 2 / x = 4 + 10 / x

or , 7 - 4 = 10 / x + 2 / x

or , 3 = 12 / x

or , x = 12 / 3

Therefore , x = 4

Simplify the following and express the result in positive exponential form


( 3/11)-2 x ( 3/11)-5

Answers

Answer:

Step-by-step explanation:

Solution:

Your problem → (3/11)-2 x (3/11)-5

(3/11)-2x(3/11)-5

=(3/11)-2x × (3/11)-5

=(3/11)-(6x/11)-5

=(3-6x-5×11)/11

=3-6x-55/11

=(-52-6x)/11

The Perimeter of the scalene triangle is 54.6cm

Which equation can be
used to find the value of b if side a measures 8.7 cm?

a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6

Answers

Answer: B. 17.4+b=54.6

Step-by-step explanation:

Edgen 2023

The equation can be used to find the value of b is 54.6 = 34.8 + b.

We have,

The border of the triangle is54.6 cm

and side a = 8.7 cm,

So, Perimeter = sum of the lengths of the three sides

54.6 = a + 3a + b

54.6 = 4a + b

We know a= 8.7 then

54.6 = 4(8.7) + b

54.6 = 34.8 + b

Therefore, the needed equation is54.6 = 34.8b.

Learn more about Perimeter here:

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PLEASE HELP me!!! can give brainliest!


Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

Answers

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

6. Simplify the expression 2x + 8. when x=4​

Answers

Answer:

16

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Plug in:

8+8

Answer:

16

Step-by-step explanation:

2 × 4 = 8

8+8= 16

your answer is 16 when x equals 4

(88÷1×2×5−9)+3×8 what does this make

Answers

Answer: 6992

Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)

Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343

Answers

Its 0.343 because it cannot be expressed as a fraction or whole number
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