Find the magnitude and the direction of AB⃗⃗⃗⃗⃗, BC⃗⃗⃗⃗⃗, and
AC⃗⃗⃗⃗⃗, if
AB⃗⃗⃗⃗⃗ = 12î− 5ĵand BC⃗⃗⃗⃗⃗ = 3î− 4ĵ.

Answers

Answer 1
Step-by-step explanation:

[tex] ab = \sqrt{ {12 }^{2} + { (- 5)}^{2} } \\ \ \\ = 13[/tex]

[tex]bc = \sqrt{ {3}^{2} + { (- 4)}^{2} } \\ = 5[/tex]


Related Questions

Find the coordinate of midpoint of seg given
(-2,2) and (6,4)

Answers

Answer:

[tex] \huge{ \fbox{ \sf{ \: ( \: 2 \:, 3 \: )}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: Let \: the \: points \: be \: A \: and \: B}} : [/tex]

[tex] \star{ \sf{ \: Let \: A( - 2 \:, 2 \: ) \: be \: (x1 \:, y1) \: and \: B \: ( \: 6 \:, 4 \: ) \: be \: (x2 \:, y2)}}[/tex]

[tex] \underline{ \sf{Finding \: the \: midpoint}} : [/tex]

[tex] \boxed{ \sf{Midpoint = ( \frac{x1 + x2}{2} ,\: \frac{y1 + y2}{2} )}}[/tex]

[tex] \mapsto{ \sf{Midpoint = ( \frac{ - 2 + 6}{2} \,, \frac{2 + 4}{2} }})[/tex]

[tex] \underline{ \text{Remember!}} [/tex]

The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \mapsto{ \sf{Midpoint = ( \frac{4}{2} ,\: \frac{6}{2} )}}[/tex]

[tex] \mapsto{ \sf{Midpoint = ( \: 2 ,\: 3)}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

At a dog shelter, a 28-pound bag of dog food will feed 42 dogs. How many dogs would you expect to feed with a 14-pound bag of dog food? (Input only whole numbers.)

Pounds of Dog Food 14 28 56
Number of Dogs Fed ? 42 84

Answers

Answer: A 14-Pound bag will feed 21 dogs.

Step-by-step explanation: Because 14 is half of 28 all you need to do is divide 42 by 2 like this 42/2=21 you can check your answer by adding the answer twice like this 21+21=42

Answer:

its 21 good day

Step-by-step explanation:

If one factor 56x^4 y^3 - 42x^2y^6 is 14x^2y^3 what is the other factor

Answers

Answer:

[tex](4x^{2} -3y^{3} )[/tex]

Step-by-step explanation:

This is our starting equation:

[tex]56x^{4}y^{3}-42x^{2}y^{6}[/tex]

We then factor out the known factor:

[tex]14x^{2}y^{3}(4x^{2}-3y^{3})[/tex]

And are left with our answer in parentheses:

[tex](4x^{2} -3y^{3} )[/tex]

correct answer will be marked as brainliest

Answers

Answer:

h=9cm

P=(x+5)cm

b=(x-3)cm

by the Pythagoras theorem,

h^2=p^2+b^2

9^2=(x+5)^2+(x-3)^2

81=x^2+10x+25+x^2-6x+9

81=2x^2+4x+34

break down 26 and 8 into factors

Answers

Answer:

26: 1 and 26, and 2 and 13

8: 1 and 8, and 2 and 4

Step-by-step explanation:

using linear pairs to find an unknown value what is the value of X

Answers

Answer:

linear pairs are always 180 degree.

Step-by-step explanation:

sample: x + 30° + 20° = 180°

x = 180° - 50°

x = 130°

what is the opposite of 0.75​

Answers

the fraction would be 3/4

The opposite of 0.75 is -3/4.

What is Additive Inverse?

To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below.

Given:

we have 0.75

So, to find the opposite we have to find the additive inverse of 0.75

Then, the additive inverse of 0.75 is (-0.75).

Then, -0.75 = -3/4.

Hence, the opposite is -3/4.

Learn more about Additive inverse here:

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-1/4(-8x+12y)
What is an equivalent expression to this equation

Answers

2x-3y. just distribute and because you can’t combine an x value and a y value you aren’t solving it you are just simplifying the expression.

Ellen can purchase 5 apples for $1.75. How many apples can she get for $1.00

Help!!!

Answers

Answer:

She can get 2

Step-by-step explanation:

2 multiplied by 35 equals 70 and 3 multiplied by 35 is 1.05 so Ellen can only get 2 apples

Hope it helps :)

Brainliest pls? Have a good day/night

HELP ASAP

Given the equation: 2x – 4 = 7, which property should be applied first?

Division Property
Subtraction Property
Multiplication Property
Addition Property

Answers

You would start by adding the 4 to the 7 so it would now look like 2x=11 then you would divide 11 by 2 to get your answer.
add 4+7 then you have 2x=11

Find the midpoint of the segment with the given endpoints
(0,-7) and (-5,5)

Answers

Do you have a picture of a graph?

Which equation below would be perpendicular to the line x=5

Answers

x=5 is a vertical line therefore, the slope is undefined. the perpendicular line would be horizontal and the slope is 0.

Answer: y=3

Step-by-step explanation:

plzzzzzzzzzz helppppp​

Answers

Answer:

i cant see it

Step-by-step explanation:

Answer:

Domain: [-6,8]

Range: [-7, 8]

Step-by-step explanation:

My answer is written in interval notation.

Domain:

The domain is all the possible x values the function has. if you look at the graph, the x values do not pass -6 when going left, and it also does not pass 8 when going right. filled in circles means that point is included, which is why I used brackets instead of parenthesis.

Range:

The range is all the possible y values the equation can have. If you look at the graph, the graph does not have a point that goes below -7, or above 8. filled in circles means that point is included, which is why I used brackets instead of parenthesis.

*make sure to put the lower number first, which is why I put the negative numbers then the positive ones.

anyone know this?? i need help!

Answers

Answer:

45.50(7/10)

Step-by-step explanation:

Multiplication with fractions is the same as division with integers

I neeeeed it rnnnnnnnn pls

Answers

Answer:

its greater

Step-by-step explanation:

Greta learned that about 10% of people are left-handed. She ran 10 different simulations
using random digits to find the probability that there is a left-handed person in a group
of 5 randomly selected people. In the table below, O represents a left-handed person and
1 through 9 represent a right-handed person. Each row represents one simulation of 5 people.
3
1
4
9
6
5
6
9
6
7
5
3
2
6
8
1
4
4
2
8
9
4
4
2
6
6
7
4
9
6
4
8
8
ww00
2
4
4
2.
0
6
1
6
0
5
2
0
9

Answers

Answer:6%

Step-by-step explanation:

Work it out smh

The probability that there is a left-handed person in a group of 5 randomly selected people is 6%

It is given that Greta learned that about 10% of people are left-handed.

It is required to find the probability that there is a left-handed person in a group of 5 randomly selected people.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a total number of people = 50  (because 10 rows and 5 columns)

In the question, it is given that the 0 represents a left-handed person.

Then the number of left-handed people = 3 (there are three zero's in the table)

We know:

[tex]\rm Probability = \frac{ favorable \ outcomes}{total \ outcome}[/tex]

[tex]\rm Probability= \frac{3}{50}[/tex]

Probability = 0.06  or

Probability = 0.06×100 ⇒ 6%

Thus, the probability that there is a left-handed person in a group of 5 randomly selected people is 6%

Know more about the probability here:

https://brainly.com/question/16722133

solve the inequality 8(x - 2) + 9 < 3(x - 1) + 5x​

Answers

Answer:

no solution

Step-by-step explanation:

help! What is the ratio of the number of beaks to the number of legs the chickens and the sheep have on this farm?

Number of Chickens Number of Sheep
8 14
A.
1 beak : 7 legs
B.
1 beak : 9 legs
C.
2 beaks : 7 legs
D.
2 beaks : 9 legs

Answers

Answer:

1:9

Step-by-step explanation:

8( 3x + 3) = 3(9x-9)

Answers

Answer:

x = -15

Step-by-step explanation:

x equals negative 15

WILL GIVE BRAINLIEST!!!!!!

Hiram has a total of 20 nickels and quarters. The value of the coins is $4.00.
Write a system of equations that represents the number of coins he has


How many nickels and quarters does he have?

Answers

Answer:

Sorry idk the answer...

Determine whether the conclusion is based on inductive or deductive reasoning.

The library charges $0.25 per day for overdue books. Kyle returns a book that is 3 days overdue. Kyle concludes that he will be charged a $0.75 fine

Deductive or Inductive

Answers

Answer:

I think it is Deductive because it seems like a specific question

Step-by-step explanation

"In logic, we often refer to the two broad methods of reasoning as the deductive and inductive approaches. Deductive reasoning works from the more general to the more specific. Inductive reasoning works the other way, moving from specific observations to broader generalizations and theories."

An isosceles triangle has an angle that measures 100°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

90°, that is all the other angles so it would be 40° and 50°

Step-by-step explanation:

I hope this helps you :)

Answer:

40 degrees

Step-by-step explanation:

the three angles of a triangle must add to 180 and since it is an isosceles two angles must be equal therefore 180-100=80 to be divided by 2.

The expression x-2 has a value of -5 for some value of x. For the same value of x, what is the value of the expression (x-2)²+5x-10? Show your reasoning for this problem in the space provided.
(1) 0 (2) 15 (3) 14 (4) -10

Answers

Answer:

-10

Step-by-step explanation:

Assuming that x-2=-5, we can subtitute it into the equation as follows:

(-5)^2 + 5(-5) - 10, we start off with the exponent according to the order of operations resulting in:

25 + 5(-5) -15, then we do the multiplication next:

25 + (5 * -5 = -25) so:

25 + -25 - 10, the 25s cancel each other out and your left with:

0 - 10 which equals -10

During the summer, you work 40 hours per week at a coffee shop and eam $9.25 per hour. You also tutor for $10.00 per hour and can work as many hours as you want. You want to earn a total of $425 per week. How many hours must you tutor?​

Answers

Answer:

6 hours worked as a tutor

Step-by-step explanation:

40 x 9.25 = 370$

425 - 370 = 55

55/10 = 5.5

so 5.5 but because you work full hour round up to 6 hour worked as a tutor

An equation is formed of two equal expressions. The number of hours you must tutor to earn $425 is 5.5 hours.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that you work 40 hours per week at a coffee shop and earn $9.25 per hour. You also tutor for $10.00 per hour and can work as many hours as you want. Therefore, we can write the total earnings as,

Total earning = Earning from the coffee shop + Earning from the tutoring

Total earning = ($9.25 × 40 hours) + ($10 + x number of hours)

It is also given that You want to earn a total of $425 per week. Therefore, we can write,

Total earning = ($9.25 × 40 hours) + ($10 + x number of hours)

$425 = ($9.25 × 40) + $10x

Solving the equation for x,

$425 = $370 + $10x

$425 - $370 = $10x

$55 = $10x

x = 55/10

x = 5.5

Hence, the number of hours you must tutor to earn $425 is 5.5 hours.

Learn more about Equation here:

https://brainly.com/question/14686792

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Why would two lines be parallel to each other based on where the congruent angles are positioned

Answers

Parallel lines NEVER intersect, therefore, they must have congruent angles that are the same, and be in a position that doesn’t make them cross over each other.

Given: (−10,2) and (3,5), the midpoint is???

Answers

Answer:

M=(−7/2,7/2).

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \sf{( \frac{ - 7}{2} \:, \: \frac{7}{2})}}} [/tex]

Step-by-step explanation:

[tex] \star{ \sf{Let \: the \: points \: be \: A \: and \: B}}[/tex]

[tex] \sf{A( - 10 ,\: 2) \longrightarrow{ \: (x1 \:, y1)}}[/tex]

[tex] \sf{B(3 \:, 5) \: \longrightarrow} \: \sf{(x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: midpoint}} : [/tex]

[tex] \boxed{ \sf{Midpoint \: = \: ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} )}}[/tex]

[tex] \mapsto{ \sf{Midpoint = ( \frac{ - 10 + 3}{2} \: , \frac{2 + 5}{2} }})[/tex]

[tex] \text{Remember!} : [/tex]

The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \mapsto{ \sf{Midpoint = ( \frac{ - 7}{2} , \: \frac{7}{2} }})[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Identify the slope of the following equation . y=4/5x+8​

Answers

Answer:

4/5x is your slope and 8 is your y intercept

Step-by-step explanation:

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it
takes to run that distance.
Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?
For each 1 minute, the runner ran 9.5 miles.

Answers

The missing choices are:

(A) for each 1 minute, the runner ran 9.5 miles.

(B) for each 9.5 minutes, the runner ran 1 mile.

(C) the minimum distance with a recorded time is 9.5 miles.

(D) the maximum distance with a recorded time is 9.5 miles.

Answer:

The interpretation that describes the line best fit of y = 9.5 x is: for each 9.5 minutes, the runner ran 1 mile.  ⇒ (B)

Step-by-step explanation:

Since the equation of the line best fit is y = 9.5 x, where

x is the number of miles runy is the time in minutes9.5 is the rate of change of the time to the mile

The rate of change = change of y/ change of x

∵ y represents the time in minutes

∵ x represents the distance in miles

∴ The rate of change = minutes / mile

∵ The rate of change = 9.5 minutes / 1 mile

∴ The interpretation describes the line best fit is:

   For each 9.5 minutes, the runner ran 1 mile

Answer:

b on edge

Step-by-step explanation:

DITII
Deyuences
SAQ 1: What is the importance of having the steps in formulating an explicit formula?​

Answers

Answer:

The importance of having the steps in the formulation of an explicit formula are;

1) It promote repeatability of the derivation

2) It ensures traceability so as to outline the areas covered by the proof of the formula

3) It provides proof of the validity of the formula

4) It provides a improved insight into the given problem

5) It improves understanding of the problem

6) It serves as a back bone for more advanced proofs

Step-by-step explanation:

Factor: 5x2 – 15x – 20

(a) 5(x-4)(x+1)

(b) -2(x-4)(x+5)

(c) -5(x+4)(x-1)

(d) 5(x+4)(x+1)

Answers

Answer:

A.

Step-by-step explanation:

5x^2 – 15x – 20

= 5(x^2 – 3x – 4)

= 5(x^2 – 4x + x – 4)

= 5{x(x - 4) +1(x - 4)}

= 5(x-4)(x+1)

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