find the position vectors of the points which trisect the line joining the points whose position vectors are i+2j+7k and 3i+j-k

Answers

Answer 1

Answer:

Step-by-step explanation:

you should have to find two position vectors between the given positional vectors . to find the first position vector take the ratio 1:2 internally and for the second positon vector take the ratio 2:1 as it is trisectedusing the position vector formula we get the respective answer's

Related Questions

what would be the slope of y=3x.?

Answers

Answer:

3

Step-by-step explanation:

The slope is the coefficient to the x variable.

In the equation y = 3x, this means 3 is the slope because it is the coefficient to x.

So, the slope is equal to 3.

Answer:

[tex]3[/tex] or [tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Remember slope-intercept form.

[tex]y=mx+b[/tex]

~

[tex]m=slope[/tex]

[tex]b=y-intercept[/tex]

In the case of [tex]y=3x[/tex]:

[tex]m=3[/tex]

Solving by Completing the Square

Answers

Answer:

16

Step-by-step explanation:

Hello,

[tex]x^2-8x=10 \text{ *** we complete the square ***}\\ \\(x-4)^2-4^2=10 <=> (x-4)^2-16=10 \text{ *** we add 16 to both sides ***}\\\\(x-4)^2-16\boxed{+16}=(x-4)^2=10\boxed{+16}=26[/tex]

Thanks

A magic square is a square array of numbers arranged so that the numbers in all​ rows, all​ columns, and the two diagonals have the same sum. Create a​ 3-by-3 magic square using nine of the ten​ numbers, 20,​ 21, 22,​ 23, 24,​ 25, 26,​ 27, 28, and 29. Explain your solution and reasoning. List the strategies used.

Answers

Answer:

strategies used are : identifying a sub-goal and Guess and check

Step-by-step explanation:

To create a 3 by 3 magic square using nine of the ten numbers

20,21,22,22,23,24,25,26,27,28 and 29

In order to achieve a 3 by 3 magic square table we will pick Nine consecutive numbers out of the ten numbers given and apply the format below

n+1,n-4,n+3,n+2,n,n-2,n-3,n+4,n-1

we will take n = 24

attached below is the magic square

X/3+1=7/15 WHAT IS THE ANSWER​

Answers

Answer:

x=-8/5

Step-by-step explanation:

5x+15=7

5x=7-15

5x=-8 divide

-8/5

What is the quotient of 8,688 ÷ 24?
362
434
450
8,664

Answers

Answer:

362

Step-by-step explanation:

Answer:

362

Step-by-step explanation:

Add an apple orchard, small bags contain 7 apples. Alexa and her family bought 91 apples for a party. How many small bags did they buy? I need the problem solved out thanks

Answers

In this problem, we'll need to divide the number of apples by the amount of apples in a small bag. This will leave us with the number of small bags needed for the amount of apples.

91 / 7 = 13

Therefore, Alexa and her family bought 13 small bags of apples.

Write an improper fraction and a mixed number for the shaded portion of the group of figures.

Answers

Answer:

I will do a random number

2/3=1 2/3

Step-by-step explanation:

And I think that is what u want

[tex]2\frac{1}{3}[/tex] is a mixed fraction and 7/3 is a improper fraction.

What is Fraction?

A fraction represents a part of a whole.

We need to write a improper fraction and a mixed number for the shaded portion of the group of figures

Fractions are three types proper, improper and mixed fraction

A proper fraction is a fraction which has its numerator value less than the denominator.

A improper fraction is a fraction which has its numerator value greater than the denominator.

A fraction represented with its quotient and remainder is a mixed fraction.

[tex]2\frac{1}{3}[/tex] is a mixed fraction

7/3 is a improper fraction.

Hence, [tex]2\frac{1}{3}[/tex] is a mixed fraction and 7/3 is a improper fraction.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

An equivalent fraction to 5/16 is
a. 5/32
b. 10/32
c.1/2
d. 10/16

Answers

Answer:

B is the answer..................

Answer: B) 10/32

==================================================

Explanation:

Multiply top and bottom of the original fraction by 2

[tex]\frac{5}{16} = \frac{5*2}{16*2} = \frac{10}{32}[/tex]

Or you could go in reverse to divide each part of 10/32 by the GCF 2

[tex]\frac{10}{32} = \frac{10\div 2}{32\div 2} = \frac{5}{16}[/tex]

-------------------

Another alternative is to use your calculator to find the decimal version of each answer choice

5/32 = 0.15625

10/32 = 0.3125

1/2 = 0.5

10/16 = 0.625

And compare these results with 5/16 = 0.3125

Both 5/16 and 10/32 have the same decimal value 0.3125, which makes them equal.

Carrie has $87 left in her bank account. If she writes a check for $99, what will Carrie’s balance be?

Answers

Answer:

[tex] -12 [/tex]

Step-by-step explanation:

You start with 87 dollars.

[tex] 87 [/tex]

You write a check for 99 dollars.

Writing a check means taking money out of the bank.

[tex] 87 - 99 [/tex]

[tex] -12 [/tex]

She will have -12 dollars.

She is in debt for 12 dollars.

She owes the bank 12 dollars.

(4x - 2) + (6x - 2). Please help brainly

Answers

Answer:

2 (5 x - 2) = 10 x - 4 or x = 2/5 (if you need to solve for x)

Step-by-step explanation:

Simplify the following:

4 x - 2 + 6 x - 2

Hint: | Group like terms in 4 x - 2 + 6 x - 2.

Grouping like terms, 4 x - 2 + 6 x - 2 = (4 x + 6 x) + (-2 - 2):

(4 x + 6 x) + (-2 - 2)

Hint: | Add like terms in 4 x + 6 x.

4 x + 6 x = 10 x:

10 x + (-2 - 2)

Hint: | Group the negative terms in -2 - 2 together and factor out the minus sign.

-2 - 2 = -(2 + 2):

10 x + -(2 + 2)

Hint: | Evaluate 2 + 2.

2 + 2 = 4:

10 x - 4

Hint: | Factor out the greatest common divisor of the coefficients of 10 x - 4.

Factor 2 out of 10 x - 4:

Answer: 2 (5 x - 2)

________________________________

if you need to solve for x then:

Solve for x:

10 x - 4 = 0

Add 4 to both sides:

10 x + (4 - 4) = 4

4 - 4 = 0:

10 x = 4

Divide both sides of 10 x = 4 by 10:

(10 x)/10 = 4/10

10/10 = 1:

x = 4/10

The gcd of 4 and 10 is 2, so 4/10 = (2×2)/(2×5) = 2/2×2/5 = 2/5:

Answer:  x = 2/5

Are lines GH and G'H' perpendicular? Why or why not? Yes, they intersect at one point. Yes, their slopes are negative reciprocals. No, their slopes are not negative reciprocals. No, their slopes are not equal.

Answers

Answer:

Step-by-step explanation:

B yes their slopes are negative reciprocals

Answer:

b

Step-by-step explanation:

on edge

10/2i?
(dividing complex numbers)​

Answers

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

Help me please with this question

Answers

Answer:

C.

Step-by-step explanation:

His initial cost of the phone bill was  $25.90, which is the constant. He is charge $0.18 for each text. So you will have to add the initial bill and costs of the texts to get final cost on the phone bill, which is $30.40.

x/9 + 7 ≥ 10

A. x ≤ 83

B. x ≥ 27

C. x ≤ 27

D. x ≥ 83

Answers

Answer:

its B.x> 27

Step-by-step explanation:

If (6, 1) is dilated by a scale factor of 3 the new point would be:
A(3,3)
B (18,3)
C (15,3)
D (9.4)

Answers

The answer is B (18,3)

Three quarters make up what fraction of a dollar?

Answers

Answer: 0.75 cents is 3/4 of a dollar

A message can follow different paths through servers on a network. The sender’s message can go to one of five servers for the first step; each of them can send to five servers at the second step; each of those can send to four servers at the third step; and then the message goes to the recipient’s server.
a. How many paths are possible?
b. If all paths are equally likely, what is the probability that a message passes through the first of four servers at the third step?

Answers

Answer:

Number of way s= N=100

The probability that it passes through  first of four servers at the third step is 0.25

Step-by-step explanation:

The total number of possible ways can be found out by multiplying the possibilities so the possibilities at the

1st stage is  5

2nd stage is 5

3rd stage is  4

4th stage is 1

So Number of way s= N= 5*5*4= 100

This can be solved by drawing a tree diagram as well.

Now the probability of finding the  that a message passes through the first of four servers at the third step.

There are five paths

And we have to find the probability of four

So 5C1*5C4/100= 0.25

The probability that it passes through  first of four servers at the third step is 0.25

solve the given triangles by finding the missing angle and other sides lengths.

Answers

Answer:

75+48+x=180

x=180-123

=57degree

side length=3+3+3=9

Simplify 3 + (b + 8) = 3 + (8 + b)

Answers

Answer:

−3b /8

​  

 

Step-by-step explanation:

Answer:

b + 11 = 11 + b

Step-by-step explanation:

Combine like terms. Note that because you are adding for all terms, you can technically disregard the parenthesis:

3 + (b + 8) = b + 3 + 8 = b + 11

3 + (8 + b) = 3 + 8 + b = 11 + b

b + 11 = 11 + b (True).

what's the solution of the equation 4[x+2(3x-7)]=22x-65

Answers

Answer:

x = -3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+2(3x−7))=22x−65

Step 1: Simplify both sides of the equation.

4(x+2(3x−7))=22x−65

(4)(x)+(4)(2(3x−7))=22x+−65(Distribute)

4x+24x+−56=22x+−65

(4x+24x)+(−56)=22x−65(Combine Like Terms)

28x+−56=22x−65

28x−56=22x−65

Step 2: Subtract 22x from both sides.

28x−56−22x=22x−65−22x

6x−56=−65

Step 3: Add 56 to both sides.

6x−56+56=−65+56

6x=−9

Step 4: Divide both sides by 6.

6x = -9

6       6

x =  -3/2

A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is, and the probability
of getting a jellybean is 3. What is the probability of getting a jawbreaker?

Answers

Answer:

1/2

Step-by-step explanation:

First, I added the two numbers tat we had already.

1/6+1/3=1/6+2/6=3/6=1/2

Then, I subtracted the sum (1/2) from the total (1).

1-1/2=1/2

So, the probability of getting a jawbreaker is 1/2.

Estimate. Then find the difference 456,912 -37,800

Answers

The answer is 419,100 if you round to the hundreds place.

If 46 people can fit into 64 square teet. Which proportion should you use to estimate how many people are in a 600
square foot area?

Answers

Answer:

431.25 approximately 431

Step-by-step explanation:

one way of calculating it would be to get the measure per one person which would be equal to 46 / 64 = 0.7 people in one square feet

then multiply 0.7 by the total distance = 431.25 approximated to 431

On a number line where is the number 14 relative to the number -23

Answers

Answer:

14 is to the right of -23

Step-by-step explanation:

On the number line, the number 14 will appear on the right side of -23 with respect to zero from front.

What is a number line?

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series.

Number line is a graphical representation of whole numbers, natural numbers, rational and irrational numbers. which represents both negative and positive numbers such that, positive numbers from 1 to infinity lie on the right-hand side of zero and negative numbers from (- 1) to (- infinity) lie on the left-hand side of zero.

Therefore, zero is considered as the reference point.

Number 14 is positive natural number, it appears on the right side of zero and (-23) appears on the left side of zero.

Thus, On a number line, the number 14 lies to the right of number -23.

Learn more about number line here:

brainly.com/question/13425491

#SPJ5

Solve the equation, P= n+k+m for n

Answers

Answer:

n = p-k-m

Step-by-step explanation:

You would just say, like k and m and 1 and 2. But instead of adding them you just bring the to the other side like

p = n+1+2

-1         -1

p-1 = n+2

-2        -2

p-1-2 = n

p-k-m-n

Find the unit rate and use it answer the question
35 copies in 7 minutes, how may copies in 10 minutes

Answers

Answer:

50 copies in 10 minutes

Step-by-step explanation:

becuase it takes 7 minutes for 35 copies and 5 copies times 7 is 35 so 5 copies per minute and it would take 10 minutes for 50 copies

please simplify 1+3^2⋅2−5

Answers

Answer:

[tex]-2.2[/tex]

Step-by-step explanation:

Let's simplify the expression.

[tex]1+3^2.2-5[/tex]

And the answer is

[tex]-2.2[/tex]

Hope this helps!

Answer:

14

Step-by-step explanation:

I took the test~~~~

I need help with example 4 plz

Answers

Answer:

a) [tex]y=1[/tex]

b) [tex]x=-3[/tex]

Step-by-step explanation:

Recall the forms of vertical and horizontal lines

Horizontal lines come in the form of [tex]y=0x+b[/tex], so the slope of the equation is zero. The value of b will be the y-value of the point that  you're given.

This means that the equation for a would be y=1

Vertical lines come in the form of [tex]x=a[/tex]. For this line, the value of a would be equivalent to the x-value of the given point. Therefore, b. would be [tex]x=-3[/tex]

Help, please! College precalc! TIA.

Answers

Answer:

I believe that the answer is 0

Step-by-step explanation:

All you have to do is add f and g and substitute -2 for x. When you substitute -2, simplify.

Step-by-step explanation:

(f+g)=(x-4)+(x^2-x)=x^2+x-x-4=x^2-4

when x=-2

(f+g)(-2)=(-2)^2-4=0 ans.

Given f(x) = 3x – 5, solve for x when f(x) = 1

Answers

Answer: f(1) = -2

Explanation:

f(x) = 3x - 5
f(1) = 3(1) - 5
f(1) = 3 - 5
f(1) = -2

The value of x when f(x) = 1 is  x = 2.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

The function,

f(x) = 3x – 5.

Solving for x when f(x) = 1,

1 = 3x - 5

3x = 6

x = 2

Therefore, the value is x = 2.

To learn more about the function;

brainly.com/question/28303908

#SPJ5

Other Questions
PLEASE HELP ME! How do I find x????????? In Marvel comics, what imaginary rare metal is an important natural resource of Wakanda, the home country of Black Panther? kryptonite neptunium vibranium titanium Solve for n: 4n = 2n + 6A. 1B. 2C. 3D. 4E. 12 For your Geology class you have been assigned to groups and given lab assignments to complete as a group. Your group completes the lab and you each turn in a copy of the same lab report with your individual name at the top of the page and your lab-mates names listed in the first paragraph. Is this a violation of academic integrity?A.Yes.B. False. Which word best describes Hektor's final words to Achilleus? In this exercise, lines m and n are parallel. Find the measure of each numbered angle. ITS 9 PARTS We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these, are Life, Liberty and the pursuit of Happiness. Read the passage from the Declaration of Independence. This passage shows the influence of Jewish and Christian teachings on the concept of citizenship in the United States by focusing on the worship of one god. pursuit of happiness. need to live a moral life. need to treat people equally. What is efficiency? What is effectiveness? Imagine you manage a local car wash. Which criteria might you use to determine your efficiency as a manager? Which criteria might you use to determine your effectiveness? Who was the soilder killed by grendels mother? PLEASE HELP!!! WORTH 50 POINTS!!! Professional assessments are the only reliable method for determining an individual's levels of health-related fitness. Please select the best answer from the choices provided. T F The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are thecoordinates of B? - - I have to find the Molecular formula A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked. The ball's height, 2 seconds after it was kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!! The monomer of DNA is nucleotides. Which type of macromolecule is DNA Angel rode his bike 8 km South 5 km East how long did it take Angel to get back Gerald is studying the plants and animals of a meadow. He classifies the grasses and clover as autotrophs or producers. Give two pieces of evidence to support Geralds classification. Which of the following choices BEST describes the relationship between intensity and time in a successful exercise program? The largest prime factor of thirty-five is _____. 7 5 9 11 For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over? Im stuck on this question