Calculate the shortest distance between P and Q.

Calculate The Shortest Distance Between P And Q.

Answers

Answer 1

Answer:

10.6 cm

Step-by-step explanation:

Shortest distance between P(3, -1) and Q(-5, 6) using [tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Plug in the values

[tex] PQ = \sqrt{(-5 - 3)^2 + (6 -(-1))^2} [/tex]

[tex] PQ = \sqrt{(-8)^2 + (7)^2} [/tex]

[tex] PQ = \sqrt{64 + 49} [/tex]

[tex] PQ = \sqrt{113} = 10.6 [/tex] (1 d.p)


Related Questions

Which expression is equivalent to (xy)z?

A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)​

Answers

Answer:

c

Step-by-step explanation:

Answer:

It's C Aka x(yz)

Step-by-step explanation:

I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)

Find the angle measure.

The measure of angle XYZ is

Answers

Answer:

∠XYZ = 102

Step-by-step explanation:

1st step is to solve x from ΔWXY

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

           ∠X = 7x + 4

           ∠Y = 180 - (15x - 18)

                 = 198 - 15x

now plugin values into the equation:

5x + 2   +   7x + 4  +  198 - 15x  = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

2nd step is to substitute x = 8 into ∠XYZ

∠XYZ = 15x - 18

∠XYZ = 15(8)  - 18

∠XYZ = 102

What is the length of the unknown side?

Answers

Answer:

20!

Step-by-step explanation:

matt is playing a game. he gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. what is the final score?

Answers

Answer:

-9 points

Step-by-step explanation:

He starts at 0 but gains 7 [7] then loses 10 [-3] gains 2 [-1] and loses 8 [-9]

negative 9 points i just took it and it’s correct

PLS HELP!!! find the length of side a

Answers

Answer:

2

Step-by-step explanation:

the slope is always 1/2 so 5-3

Answer:

a = 4

Step-by-step explanation:

a = ?

b = 5

c = 3

a = √ (c^2 - b^2)

a = √ (3^2 - 5^2)

a = √ 25 - 9

a = √ 16

a = 4

please help quick :) (I'll give brainliest, whatever it's called.)

A relation contains the points (−2, 0), (−1, −1), (0, 2), (1, 0), and (1, −2). (show work if you can)

A. The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
B. The relation represents y as a function of x, because one value of y is associated with two values of x.
C. The relation does not represent y as a function of x, because one value of x is associated with two values of y
D. The relation represents y as a function of x, because each value of x is associated with a single value of y.

Answers

Answer:

C. The relation does not represent y as a function of x, because one value of x is associated with two values of y

Step-by-step explanation:

I chose choice c because in the relation we can see that the x-value 1 repeated but their y-values are different, one has 0 as its y-value and one has -2 as its y-value. In a function, this can't happen so it's not a function.

Hope this helps you

The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in the graph below.



What is the constant of proportionality,
E/H, for this situation?
+/-
.

Answers

Answer:

Pay Rate = Constant of Proportionality = E/h

Step-by-step explanation:

Recall this formula:  Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)

Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.

Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:

E = (Hourly Pay Rate)*h

The relevant constant of proportionality is found by dividing E by h:

Pay Rate = Constant of Proportionality = E/h

If Blake wanted to use the Substitution method to solve the following system of equations, what could be a good first
step?
31 + 4y=17
2 + 6y=24
A Cancel out the "x" terms
B Multiply the second equation by (-3)
Add 3 to the second equation
Solve the second equation for x​

Answers

Answer:

solve the second equation for x

IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss

A.
{4,7,8}

B.
EMPTY SET

C.
{2,5,6,7,4,8}

D.
{2,5,6}

Answers

Answer:

C - {2,5,6,7,4,8}

Step-by-step explanation:

It's just because these are the numbers that they don't have in common.

You from irv guessing from your username?

Answer:

Step-by-step explanation:fhh

Banks provide a number of services including all of the following except __________.

A. Payday Lending
B. Safety Deposit Boxes
C. Checking Assets
D. Cashier's Checks

Answers

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for small lending companies and not banks. They assist clients who have a minimal amount of salary to borrow a small amount of money with a high interest. The amount of money he can borrow will depend on the amount of salary he receives per month. The client will not be required to give any form of collateral for the borrowed money, thus, the client is said to be high-risk. However, he will have to return the money over a short period of time with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

Banks prefer to offer loans to people who have a steady income and a certain amount of salary.  

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

When m2 = m6
1. AD BC
2. DC AB
3. none

Answers

Answer:

Its DC and AB

The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval

Answers

Answer: average y = -8 average y =2

ARC : -4

Step-by-step explanation:

Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Given

The graph of [tex]y = f(x)[/tex]

See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]

The line segment is represented by a green line

To determine the average rate of change using the line segment; we have the following values.

When [tex]x =5; y = 8[/tex]

When [tex]x =7; y = 0[/tex]

So, the average rate of change (m) is:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

Where:

[tex]\Delta y = y_2 - y_1[/tex]

[tex]\Delta y = 0-8[/tex]

[tex]\Delta y = -8[/tex]

[tex]\Delta x = x_2 - x_1[/tex]

[tex]\Delta x = 7 - 5[/tex]

[tex]\Delta x = 2[/tex]

So, we have:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Read more about average rate of change at:

https://brainly.com/question/2530409

plz help

What is the intersection of a plane and a solid figure called?

three-dimensional figure
cross section
two-dimensional figure
base

Answers

Answer:

B

Step-by-step explanation:

The intersection of both a solid figure and a plane is called a cross section

Answer:

cross section

Step-by-step explanation:

i had this same question on  ossadayware

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?

Answers

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

Read more at; https://brainly.com/question/20530468

Check the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answers

Answer:

4/25

Step-by-step explanation:

Its 4/25 as a fraction

simplify
4m+2mn+m^2+m+3m^2

Answers

Answer:

4m^2+ 5m +2mn

Step-by-step explanation:

The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.

The expression given is 4m + 2mn + m² + m + 3m².

We have to simplify the above expression.

What are the variables ?

A variable is a term which represents an unknown number or unknown value or unknown quantity.

As per the question ;

The expression given is 4m + 2mn + m² + m + 3m²

Let's simplify this by adding similar variables ;

4m , m are same variables

i.e., 4m + m = 5m

Similarly ,

m² and 3m² are same variables

i.e., m² + 3m² = 4m²

So ,

The value after simplification will be ;

4m + 2mn + m² + m + 3m²

= 4m²+ 5m + 2mn

Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.

To learn more about variables click here ;

https://brainly.com/question/22965573

#SPJ2

Find the slope and the y-intercept of the line.
y = 8x - 1

Answers

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

Question 8 of 10
If a point is on the bisector of an angle, then it is:
A. on one side of the angle.
B. the vertex of the angle.
C. equidistant from the two sides of the angle.
D. equidistant from the bisector and one side of the angle.

Pls and thank you

Answers

Answer:

yr point is A

Step-by-step explanation:

If a point is on the bisector of an Angle , then it is equidistant from two sides .

The Meaning of Bisector is to divide something or anything into two equal Halves.

The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.

Option A

equidistant from the two sides of the angle.

i jst taken the quiz

Answer:

equidistant from the two sides of the angle.

Step-by-step explanation:

E=RIGHT FOR AP-EX

Desde la parte más alta de un edificio a 25 m una persona lanza hacia la base un objeto de 150 g con una velocidad de 0.8 m por segundo calcula la energía mecanica total

Answers

Answer:

[tex] E_{T} = 36.84 J [/tex]        

Step-by-step explanation:

La energía mecánica total está dada por:

[tex] E_{T} = E_{c} + E_{p} [/tex]

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]

En donde:

m: es la masa = 150 g

v: es la velocidad = 0.8 m/s

h: es la altura = 25 m

g: es la gravedad = 9.81 m/s²

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]

Por lo tanto, la energía mecánica total es 36.84 J.

Espero que te sea de utilidad!      

what is 5/2x-7=3/4x+14? help please

Answers

Answer:

x=12

Step-by-step explanation:

A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent

Answers

the new price is $3.14

EFGH is a parallelogram. Find the given side length. Please help

Answers

Answer:

EF=35

EG=22

Step-by-step explanation:

EF

7y-14=2y+21

5y=35

y=7

EF=7(7)-14=49-14=35

EG

15x+7=12x+10

3x=3

x=1

EG=15(1)+7=15+7=22

Answer:

(a). 35 units ; (b). 44 units

Step-by-step explanation:

(a). 7y - 14 = 2y + 21 ⇒ y = 7

EF = 7(7) - 14 = 35 units

(b). EJ = JG

15x + 7 = 12x + 10 ⇒ x = 1

EG = 2 × (15(1) + 7) = 44 units

Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy? Solve your inequality by showing your work and steps. Please help

Answers

Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff

Step-by-step explanation:

let's add up the cost of the stuff she buys:

- a flat cost of $6.50

- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)

- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15

with that being said:

6.50 + 5.75 + 1.15x ≤ 18

solve for x

since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #

Answer:

Andrea can buy 5 candy bars.

Step-by-step explanation:

First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.

how do I find the factor of the trinomial
x²+x-20​

Answers

Answer:

(x+5)(x-4)

Step-by-step explanation:

Answer:

(X-4) (X+5)

Step-by-step explanation:

look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

62 persons

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62

What is the factorization of x^2-4x+3?

Answers

Answer:

D. (x - 3)(x - 1)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 4x + 3

The factors of 3 that sum to -4 are -1 and -3.

So,

[tex] \longrightarrow [/tex] x² - x - 3x + 3

[tex] \longrightarrow [/tex] x(x - 1) - 3(x - 1)

[tex] \longrightarrow [/tex] (x - 3)(x - 1)

HEEEEEELP MEEEEEEE PLZZZZ WILL CHOOSE BRAINLIEST

Answers

Answer:

no jami can not mow 1 1/2 in 1 hour

Step-by-step explanation:

well 1/6 * 9 = 1.5

8 * 9 = 72

i would take her 1 hour and 12 minutes to mow

Complete the statements about circle Z. A central angle, such as angle ____ of circle Z, is an

Answers

Answer:

A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.

Answer:

do you have a pic of the circle

Step-by-step explanation:

Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,

Answers

Answer:

-1029

Step-by-step explanation:

24, 11, -2...

f(n) = 24 - 13n

f(81) = 24 - 13(81) = 24 - 1053 = -1029

Molly bought 2 pounds of jelly beans for
$2.99. How much would 7 pounds of jelly
beans cost?
(Round your answer to the tenths place.)

Answers

10.465 would be your answer.

Answer:

10.5

Step-by-step explanation:

2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.

Other Questions
Which statement best describes the relative risk of two types of investment?A Bonds are riskier than mutual funds.B. Individual retirement accounts are riskier than stocks.C. Stocks are riskier than savings accounts.D. Certificates of deposit are riskier than hedge funds. END OF SEMESTER TEST SO PLEASE DONT TRY AND BE SILLY AND ANSWER CORRETLY! I WILL GIVE BRAINLIESTSelect the correct text in the passage.Which details in this diary entry support the main idea that the writer is enjoying his time at his new school?September 18It's been a whole week since I joined the new school, and it's not as bad as I thought it would be. No one has bullied me for being the new kid, and the teacher isn't so scary. Mr. Denton has a unique way of teaching that my old teachers never used. He often pitches us the questions and waits for us come up with the answer. He even holds fun class debatesthe kind where half the class argues with the other half about an issue. At the same time, he seems very strict when it comes to completing assignments.I made a couple of friends in my first week too. There is Gina, whose father works at the same company as my father. She's really smart and has promised to help me with my studies. Then there's Max and Charlie. They live a couple of blocks from my place. Max is into soccer, just like me, but he only follows European football. Charlie and I don't talk a lot. I only know him because he hangs out with Max all the time. But I do know that he loves watching horror movies. Maybe I'll show him my collection when he comes over.PICK MORE THAN ONE!!options:-No one has bullied me for being the new kid, and the teacher isn't so scary.-At the same time, he seems very strict when it comes to completing assignments.-I made a couple of friends in my first week too.-She's really smart and has promised to help me with my studies.-Charlie and I don't talk a lot. I only know him because he hangs out with Max all the time. Describe a powerful force? What would happen if all the cordgrass was removed from the coast of South Carolina? pls help quickly What is the slope of the linear function shown in the table below: Need help ASAP please Point P on the coordinate grid below shows the location of a stage light. A second stage light is 10 units above P. The length of each square on the grid is 2 units. What are the coordinates of the location of the second stage light?A four-quadrant coordinate grid from negative 16 to positive 16 in increments of 2 is drawn. Point P is plotted on the ordered pair 2, negative 6. (2, 16) (12, 4) (2, 4) (12, 16)Please help The largest mass extinction was in thea. Precambrian time.b. Cenozoic era.C. Paleozoic era.d. Mesozoic era. And I need not tell you that wonderful things happened to me there. Now I know that all you children dont know who Josephine Baker is, but you ask Grandma and Grandpa and they will tell you. You know what they will say. Why, she was a devil. And you know somethingwhy, they are right. I was too. I was a devil in other countries, and I was a little devil in America too.Identify one type of rhetorical devices used in paragraph and what sentence is it? :Do you think Native Americans should still be getting paid today for our poor treatment of them? Why or why not? what is the climax of the story ''me talk pretty one day''? how do you know? Which of the following shows the correct orderof how sound travels through the ear?A) Pinna, tympanic membrane, ossicles,cochlea, cochlear nerveB) Auditory canal, ossicles, cochlea, vestibularnerveC) Pinna, tympanic membrane, vestibule, What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7 For every 60 students there's 3 teachers so for every 15 teachers how many students would there be? In order, give the acts imposed on the colonist by the English. PLEASE I NEED HELP ILL GIVE BRAINLIEST!!! How does your state constitution organize its executive branch? 5.Write an algebraic expression for the verbal expression "five times a number minus eight.A 5x + 8B 8x - 5C 5x - 8D 5 + X - 8 If the same base pairs are used to code for all organisms, why is there so much variation among organisms?A. The order of the codons differs between organismsB. The order of the codons is the same between organisms C. The codons in each organism are the sameD. The codons in each organism differ please help me with this question:) 1. Kim ran the 100-meter race in 135.46 seconds. Tyron ran faster by 15.7 seconds. What was Tyrons time for the 100-meter dash?2. Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if ml is taken each time?3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?4. Arjay bought 8.75 meters of cloth for 813.75. Find the cost price per meter.5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?