If a vector V is in standard position and the tip of the vector corresponds to the point (a, b), then we can write the vector in component form as

Answers

Answer 1

Answer:

[tex]V = <a,b>[/tex]

Step-by-step explanation:

Given

[tex]P= (a,b)[/tex] --- Point

Required

Component of V

From the question, we understand that V is in standard position.

This implies that V starts at the origin (0,0) and ends at (a,b)

So, vector V is:

[tex]V = <P(a,b) - O(0,0)>[/tex]

This gives:

[tex]V = <a-0,b-0>[/tex]

[tex]V = <a,b>[/tex]


Related Questions


In how many ways
can 4 students, Sue,
Jan, Kim, and Pat come
in 1st
, 2nd, 3rd, and 4th
place?

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

SA = 2tr2 + 2trh
(Use 3.14 for 1.) 5 in.
30 in.
Find the surface area.
square inches
Do NOT round your answer.

Answers

Given:

Radius of the cylinder = 5 in

Height of the cylinder = 30 in.

To find:

The surface area of the cylinder.

Solution:

The surface area of the cylinder is:

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]r=5,h=30,\pi=3.14[/tex] in the above formula, we get

[tex]SA=2(3.14)(5)^2+2(3.14)(5)(30)[/tex]

[tex]SA=2(3.14)(25)+942[/tex]

[tex]SA=157+942[/tex]

[tex]SA=1099 [/tex]

Therefore, the surface area of the cylinder is 1099  square inches.

convert 2.5 tons into pounds

Answers

i’m pretty sure it’s 5000 pounds

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Find the total surface area of the pyramid.
4 in.
6 in.
6 in.

Answers

the answer is b!!!!!!!!!

Answer:

84 in²

Step-by-step explanation:

[tex]S_{A} = A_{L}+A_{base}[/tex]

[tex]S_{A}[/tex] = 4(1/2 * 6 * 4) in² + 6 in * 6 in

[tex]S_{A}[/tex] = 2(24) in² + 36 in²

[tex]S_{A}[/tex] = 48 in² + 36 in²

[tex]S_{A}\\[/tex] = 84 in²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°

Answers

Answer:

A.

Step-by-step explanation:

22+(2x + 16)+90=180

combine like terms: 90+22+16=128

180-128=52

52=2x

52/2 = 2x/2

26 = x

(2*26+16) - angle B

Find the number of degrees in each rotation shown below.

Answers

Answer:

5

Step-by-step explanation:

in the triangle DEF, angle D measures 3x, angle E measures 6x+12, and angle F measures 5x. what is the value of x

Answers

Answer:

x = 12

Step-by-step explanation:

3x + 6x + 12 + 5x = 180

14x + 12 = 180

14x = 168

x = 12

A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of

wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.

How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.

The builder needs to cut

inches off the block of wood.

Answers

Answer: [tex]3.675\ in.[/tex]

Step-by-step explanation:

Given

Wood shrinks 5% over the period of time

The width of the gap is 3.5 inch

The length of the rectangular block is 5 inch

So, the builder cut the rectangular block 5% bigger to compensate for the shrinkage

Required length is

[tex]\Rightarrow 3.5+5\%\times 3.5\\\Rightarrow 3.5+0.05\times 3.5\\\Rightarrow 3.5[1+0.05]\\\Rightarrow 3.675\ in.[/tex]

Andre bought pencils in packs of 8. He gave 2 pencils to his sister and 3 pencils from each pack to his friends. The expression 8p-3p-2 represents the number of pencils Andre has left from p packs. Simplify the expression by combining like terms.

what is the answer?​

Answers

Answer:

27

Step-by-step explanation:

he was left with no pencils

help answer this for me it will help i will give u extra points

Answers

Answer:

a. 3

Step-by-step explanation:

get 20% of 60= 12

and 25% of 60= 15

15-12=3

Answer:

Step-by-step explanation:

b

As part of a survey, 150 students were asked if they eat breakfast on school days. Of these students, 45 stated they eat breakfast on school days What percentage of the students in the survey stated they eat breakfast on school days?

Answers

Answer:

30 students

Step-by-step explanation:

Total number of students = 150

Of these students, 45 stated they eat breakfast on school days.

We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :

[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]

Hence, out of 150, 30 students stated they eat breakfast on school days.

2. What does y equal? *
y+3/4 = 6

Answers

Answer:

3rd option

Step-by-step explanation:

Given

y + [tex]\frac{3}{4}[/tex] = 6 ( multiply through by 4 to clear the fraction

4y + 3 = 24 ( subtract 3 from both sides )

4y = 21 ( divide both sides by 4 )

y = [tex]\frac{21}{4}[/tex] = 5 [tex]\frac{1}{4}[/tex]

I chose the first answer, was I correct?

Explain!

Answers

Answer: Yes, by SAS

Step-by-step explanation:

This is because, two sides are equal and one angle is equal.

And also there is one angle between 2 sides, so it’s SAS

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

26.39

Step-by-step explanation:

It's a right triangle, so because of how trigonometric functions work:

[tex]\sin B = \frac{4}{9}\\B = \arcsin\frac{4}{9} \approx 26.3878^\circ[/tex]

There's really no better way than to input it into a calculator.

So the only thing left is to round to the nearest hundredth.

Answer:

I want to say it is 30 digresses

Step-by-step explanation:

I a awnsering that scence its a acute angle but I am still not completly sure but that is still my guess

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4


I Will Mark Brainliest

Answers

Answer:

bcd

Step-by-step explanation:

If "if p , then q " is the conditional statement, then "if q , then p " is the converse.

True
False

Answers

Answer:A true

Got it right in the odyssey ware

Step-by-step explanation:

Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year at the fair?

Answers

Answer:

She spent 8 dollars.

Step-by-step explanation:

24 divided by 3 is 8

What is the answer?

Answers

B seems right.
I think

What’s the answer for the last one

Answers

Answer:

its 14

Step-by-step explanation:

because each cookie is 10 and the 2 bananas are 2 so one banana is 1 and then the other thing whatever it is is 3 each so 10*1=10+1+3=14

hopefully this helps!

Independent Practice


Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.

2z3 + 12z2 – 5z – 30


A.
z2; –5


B.
2z; –5


C.
2z2; –5


D.
2z2; 5

Answers

Answer:

C.

2z2; –5

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

( z + 6 ) ( 2 z 2 − 5 )

Answer:

2z^2; –5

Step-by-step explanation:

2z3 = 2 • z • z • z 12z2

= 2 • 2 • 3 • z • z

The GCF is 2z2.

–5z3 = –1 • 5 • z • z • z

–30 = –1 • 5 • 6

The GCF is –5.

Megan has 2 red marbles, 5 blue marbles, and 8 yellow marbles. What is the ratio of red marbles to blue marbles in rational number form?
A.
5/2
B.
2/8
C.
2/5
D.
5/8

Answers

Answer:

A. 5/2

Step-by-step explanation:

There are 5 blue marbles and 2 red marbles. This means that the ratio is 5:2. 5/2 is another way to say 5:2 so option A is the correct answer.

If this answer has helped you, please mark it as the brainliest

Answer:

d

Step-by-step explanation:

You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?

Answers

Answer:

1/6

Step-by-step explanation:

I think it’s 1/6
I hope it’s help

Convert 12 radians to degrees. Round your answer to the nearest tenth.

Answers

Answer:

687.5

Step-by-step explanation:

Which group of numbers is ordered from least to greatest?
A. 4/5,−0.9,−3
B. −3,−0.9,4/5
C. −0.9,4/5,−3
D.4/5,−3,−0.9

Answers

Answer:

B. −3,−0.9,4/5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

−3,−0.9,4/5

= -3, -0.9, 0.8.

on her first two quizzes Barbara averaged nine correct answers on the next 3 quizzes she averaged 10 correct answers what decimal number shows Barbara's average score on all five quizzes



HELP ASAP​

Answers

Answer:

0.98

Step-by-step explanation:

Assuming the number of questions on all the tests is 10,

9+9+10+10+10 / 50

You get 50 by doing 5 quizzes x 10 questions per quiz.

48/50 = 0.98

Which of the following correctly displays 3 u>-2s>

Answers

Answer: (d)

Step-by-step explanation:

According to the triangle law of vector addition, the two vectors acting on a body are represented by the two sides of a triangle taken in order then the third side gives the resultant of the two vectors taken in the opposite order.

Here, option (d) aligns well with the triangle law of vector addition. The third side is in opposite order w.r.t the two vectors represented by the two sides of triangle i.e. [tex]3\vec{u}-2\vec{s}[/tex]

Answer:

D

Step-by-step explanation:

edge

Write each answer in Scientific notation 8x10^3 + 6.45 x 10^4

Answers

Answer:

7.25*10^4 let me know if it is wrong

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZz

Can someone please help?​

Answers

1,4 and 5,8 are both congurant angles I hope that helps

a cirle has circumference 23.2 cm. What is the area of the circle? use 3.14 for pi

Answers

Answer:

42.9 cm

Step-by-step explanation:

Area of a circle is A = pi r²

to get r (radius) from circumferance. r = C/ (2 pi)

pi = 3.14

In AHIJ, j = 1.9 inches, h = 3.4 inches and 41=161º. Find J, to the nearest 10th of an
degree.

Answers

Answer:

6.8

Step-by-step explanation:

Shown in delta

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