Find a unit vector in the direction of ⃗PQ if P = (4, -7) and Q = (2, -3)

Answers

Answer 1
The coordinates of two points P and Q are given. In each case, determine the components of the vector PQ. Write your answers in the form (a, b). P(2, 3) andQ(3,7)

Related Questions

3-8(1+8x)=-133
Solve for x

Answers

Answer:

x=2

Step-by-step explanation:

Expanding, we have 3 - 8-64x=-133.

Combining like terms, we have -5 - 64x=-133

Adding 5 to both sides, we have -64x= -128

Dividing by -64, we have x = 2

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks

Answers

Answer:

A=15 inches. B=h=5+2.5w inches

Step-by-step explanation:

Our starting height is 5 inches.

It grew at a constant rate of 2.5 inches per week.

A. How tall after 4 weeks?

Well, we can solve by making an equation.

height=5inches+2.5(x)

In this situation, x is 4.

Height will be 15 inches.

B. This is just asking for the equation.

We already did that in part a!

We just need to switch x out with w.

h=5+2.5w

The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.

Answers

Answer:

0.00714285 less per foot

Step-by-step explanation:

1 divided by 11/2 as a fraction

Answers

Answer:

1.375 decimal to fraction.

2/7 Fraction to Decimal

Step-by-step explanation:

Bob paid $54 for shoes if they were on sale for 10% off what was the original price

Answers

Bob paid $48.6 that’s the total

Help help math please I’m stuck help help help

Answers

Answer:

12x

Step-by-step explanation:

I am not really sure how to explain it I just looked it up

A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?

Answers

Answer:

=$114.750

Step-by-step explanation:

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Is it possible to have a bounded feasible region that does not optimize an objective function?

Answers

Feasible sets may be bounded or unbounded. ... If the feasible set is unbounded, there may or may not be an optimum, depending on the specifics of the objective function.

It is not possible to have a bounded feasible region that does not optimize an objective function.

What is the feasible region?

The viable zone is the common area that the linear programming problem's constraints all dictate.

There is an optimum value of the objective function if the feasible region is bounded and the function attains its optimum values at the extremes of the feasible region.

Hence,  it is not possible to have a bounded feasible region that does not optimize an objective function.

Learn more about the feasible region:

https://brainly.com/question/29314086

#SPJ2

An angle measures 136°. What is the measure of its supplement?

Answers

Answer:

44⁰.

Step-by-step explanation:

Its supplement = 180 - 136

= 44 degrees.

Ms. Jackson wants to rent a van for a week. It will cost the weekly fee plus $0.80 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.​

Answers

ANSWER: In order to calculate the total amount that Ms. Jackson will need to pay for renting we need to multiply the number of miles that she will drive by the price per mile driven. Once we have that product we can simply add the weekly fee (w) to it which will give us the total (T) amount that Ms. Jackson will have to pay for her trip. This can all be combined into the formula: T = w + 0.90m

I need help with this badly. It's geometry and angles.

Answers

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

Ok done. Thank to me :>

litterally nobody answers my questions
my question is the image

Answers

Here you go hope this helps

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

yes that is correct

Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 5 mm and 12 mm. Find the perimeter of the piece of jewelry.

Answers

Answer:

30 mm.

Step-by-step explanation:

The longest side = sqrt(5^2 + 12^2)

= sqrt169

= 13.     (Using Pythagoras).

So the perimeter = 5+12+13

= 30 mm.

Perimeter of the piece of jewelry = 30mm

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".

Given,

Shape of jewelry is right angle triangle ABC

length of shorter sides,

AB = 5mm

BC = 12mm

By Pythagoras theorem,

AC² = AB²+BC²

AC = √(5² + 12²)

AC = √169

AC = 13 mm

Perimeter of Triangle = AB + BC + AC

                                    = 5 + 12 + 13

Perimeter of Triangle = 30

Hence, 30 mm is the perimeter of jewelry.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

help me please I'm stuck on this question!!!!​

Answers

Answer:

1: 2.8

Step-by-step explanation:

15:42

Divide each side by 15

15/15 : 42/15

1: 2.8

Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an
amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a
second movie may be rented for $0.42. If a two and two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a
second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15.
If a customer rolls the dice and rents a second movie every Thursday for 30 consecutive weeks, what is the approximate probability that the total
amount paid for these second movies will exceed $15.00?

I saw other questions for this but why is the standard deviation 0.15*sqrt of 30 and not 0.15*30 because I thought this is a linear transformation

Answers

Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total  amount paid for these second movies will exceed $15.00.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard error is [tex]s = \sigma\sqrt{n}[/tex]

In this problem:

Mean of $0.47, standard deviation $0.15, hence [tex]\mu = 0.47, \sigma = 0.15[/tex]30 instances, hence [tex]n\mu = 30(0.47) = 14.1, s = 0.15\sqrt{30} = 0.8216[/tex]

The probability is 1 subtracted by the p-value of Z when X = 15, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the n instances:

[tex]Z = \frac{X - n\mu}{s}[/tex]

[tex]Z = \frac{15 - 14.1}{0.8216}[/tex]

[tex]Z = 1.1[/tex]

[tex]Z = 1.1[/tex] has a p-value of 0.8643.

1 - 0.8643 = 0.1357.

0.1357 = 13.57% probability that the total  amount paid for these second movies will exceed $15.00.

A similar problem is given at https://brainly.com/question/25769446

What is the number ten written in base 2?

Answers

10001 should be the answer if not i’m special

A middle school had a school spirit day. In one class the ratio of students who wore school colors to the number of students who didn’t was 8 to 5. Ten students didn’t wear school colors

Answers

Answer:

Step-by-step explanation:

What is 1 + 1 I need to know.

Answers

Answer:

2

Step-by-step explanation:

please mark my answer in brainlist

Answer:

2

Step-by-step explanation:

1+1=2

Jack has 8 out of 10 questions correct. He said that he earned a 75% on his exam. Is he correct? Show why he is correct or incorrect.

Answers

Answer:

He is incorrect. He actually got an 80%

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] = 80%

I hope this helps!

a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere

Answers

Answer:

24

the formula of sphere is

[tex]v = \frac{4}{3} {r}^{3} [/tex]

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]

We can cancel

We can cancel π from each side.

[tex]2304 = \frac{4}{3} {r}^{3} [/tex]

Multiply both sides by

[tex] \frac{3}{4} [/tex]

hope I help you ☺️❤️

Which equation below represents an equation in standard form?

Answers

Answer:

C

Step-by-step explanation:

standard form is ax + by = c, which is true for the third option.

35 devide 28 with decimals pls help I need help

Answers

The answer has to be 1.25 I might be wrong tho

Answer:

1.25

Step-by-step explanation:

28 * 1 = 28.  35 - 28 = 7.

Add a decimal after the 1 in your answer and after the 35 in your problem.  Add a zero to make your 7 into 70.  

28 * 2 = 56.  70 - 56 = 14

Add a zero to make your 14 into 140.  

28 * 5 = 140

Find all real zeros of the function f(x)=2x(x-1)2(x-5)2

Answers

The zeros are 0,1,-1,5,-5

Write the equation of the line perpendicular to y = 8 - 5z that contains the point (0, 0) . Fill in the slope and y-intercept

Answers

The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.

8y=-5x+16

y=-5/8x+2.

To be perpendicular, the slope has to be 8/5.

What is the slope-intercept form of the line?

The slope-intercept form is y=mx+c

Where m is the slope and c is the y-intercept.

So y=8/5x+b.

We can plug in the given coordinates to get

7=8/5*-5+b

7=-8+b

b=15.

So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15

5y=8x+75

5y-8x=75

The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.

To learn more about the slope-intercept form visit:

https://brainly.com/question/1884491

#SPJ1

help help help help meeee

Answers

Answer: 36!

Step-by-step explanation:

Answer:

B . 34

Step-by-step explanation:

simply subtract the lowest value from the greatest value, ignoring the others.

Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2
(2, -5)
(-2, 5)
(2, 5)
(-2, -5)

Answers

Answer:

(2,5)

Step-by-step explanation:

it's the only one that fits

Answer:

(2, 5)

Step-by-step explanation:

Unit 4 Solving Quadratic equations {and complex number}

Answers

1.) a=5, b=9, c=-4
2.) C
3.) No solution
4.) x=-2, x=1.25
5.) x=-9, x=3
6.) quadratic formula
7.) 2
8.) 11cm by 16cm

Guys please i need help on this, i will give brainliest to the right answers

Answers

Answer:

C) Discrete made up of individual points

Rewrite the expression without parentheses.
13m−​(−9m−4​)

Answers

Answer:

22m+4

Step-by-step explanation:

Let's break it down:

13m+-1(-9m-4)

13m+(9m+4)

22m+4

Answer:

22m+4

Step-by-step explanation:

Other Questions
what is the pressure exerted by a force of 25 N on an area of 5m square Please help me yall. How does Olaudah describe the process of being kidnapped by slave traders? What emotions were he and his sister feeling during this time? Why may they have felt this way Consider the table, equation, and graph. Which of them represents a proportional relationship? What is the range of the relation? Which kind of group exists to promote policies that would increase wages, adequate health and unemployment insurance, and promote safe working conditions?Group of answer choicesA Labor groupsB Ethnic groups Madame pouchets home is called. Example:Find the word whose underlined part is pronounced differently from the others.A. growB. browC. powerD. prow At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar. i need two things a lion does that helps the earth except stabilize animal populations I NEED THIS DONE NOW! List the four types of computer cases My friend needs your help Answer This!!!!!!I'll give brainliest to whoever gets it right.And 100 Points! Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food. What rules or laws should apply to Child Labor? The quotient of 2 numbers, p and qA: pqB: p+qC: p/qD: p - q HELP PLEASEEEE what is the range of 0,5,10,15,20,255112025 yen said the additive inverse of 8 is -8 becuase positive 8 and negative 8 added together equals zero do you agree? why or why not Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them? Pls help Ill brainlest ASAP Ill add extra points