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

To make homemade whipped cream the recipe calls for 1 ½ C of heavy cream, 1 ¼ t of vanilla, and 1 t. of sugar. This amount of whipped cream would be enough to cover one pie. If K makes 6 pies and covers them with whipped cream, how many teaspoons of vanilla will he need?

Answers

Answer:

7 1/2 teaspoons of vanilla

Step-by-step explanation:

From the above question,

The whipped cream for 1 pie contains

1 1/4 teaspoon of vanilla

Hence:

1 pie = 1 1/4 teaspoon of vanilla

6 pies = x

Cross Multiply

x = 6 × 1 1/4

x = 6 × 5/4

x = 30/4

x = 7 2/4

x = 7 1/2 teaspoons of vanilla

Hence: If K makes 6 pies and covers them with whipped cream, he would be needing 7 1/2 teaspoons of vanilla

When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

( √-5 + 2√20) ( -√-5)

Answers

Answer:

you cant do it

Step-by-step explanation:

because i have tryed with my calculator and it keeps on saying MATH ERROR

[AC]:CANCEL

[LEFT ARROW][RIGHT ARROW]: GOTO

YOUR WELCOME AND PLZ VOTE AS BRAINLESS

PS DAD IS IN HOTSPITAL SO I WOULD LIKE YOU TO VOTE ME AS BRAINLESS

THANK YOU  AGAIN

This problem cannot be simplified at all.

1 is 25% of what number

Answers

Answer:

4

Step-by-step explanation:

because 25% times 4 makes 100 so it is 4

5-3(2x-7)=2(7-3x)
What is true for the equation x=0, x=28, the equation has no solution or the equation has infinitely many solutions

Answers

Step-by-step explanation:

Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)

4x+7=6x-154x+7=6x−15

7=6x-15-4x7=6x−15−4x

7=2x-157=2x−15

7+15=2x7+15=2x

22=2x22=2x

22=2x / 222=2x/2

x=11x=11

Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.

Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?

Answers

Answer:

4 weeks

Step-by-step explanation:

In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter

Answers

Answer: 3.5

Step-by-step explanation:

Which number is equivalent to (1/3)^-4

A.12
B.81
C.1/12
D.1/81

Answers

Answer:

B

Step-by-step explanation:

(1/3)^-4

=1/[(1/3)^4]

=1/(1/81)

=81

cordenadas cartesianas​

Answers

what is this for ? is this spanish or what can u specify

what is the proportion?

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

i searched it up on google cause i'm dumb

Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.

Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis

Help please it's for a test!!

Answers

Answer:

Translation: (x, y) ---> (x + 1, y)

Reflection: (x, y) ----> in the x-a

I need help with this please. I already did this problem but I think I made a mistake can you please look it over?

Answers

Answer:

it is corect

Step-by-step explanation:

What is the slope of this line?

y+2=−2(x−3)

Answers

Answer:

-2

Step-by-step explanation:

The final equation is y= -2x+4, so the slope is -2

Answer:

The slope is -2

Step-by-step explanation:

This equation is in point slope form

(y-y1) = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y+2=−2(x−3)

y- -2=−2(x−3)

The slope is -2 and a point on the line is ( -3,-2)


Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?

Answers

Answer:

20%

Step-by-step explanation:

Answer: 25%
Explanation: 40/32 = 1.25

Ordena los siguientes números decimales en una tabla en la que integres en la zona azul: UM, C, D, U, Punto decimal (.), Décimos, Centésimos, Milésimos, Diezmilésimos.

a) 4567.3456

b) 78.6549

c) 7.0909

Answers

Answer:

que?

Step-by-step explanation:

Question #1 Find the unit rate if the graph below
A
150
135
120
105
90
75
Toys
60
45
30
15
3 6 9 12 15 18 21 24 27 30
Cartons

Answers

Answer:

The unit rate is 5 toy per carton on the graph

Helpp pls I tired to solve it out but I can’t get it

Answers

I think it’s b and a I think

Read the problems and and write the word that indicates an equation or inequality and decide whether an equation or inequality is indicated Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift certificate amount? Word/phrase?_________ Equation/Inequality_______

Answers

Answer:

Word/phrase : Equation

Equation:4x + 2 = $30

He can afford to buy 7 books without spending more than his gift certificate amount

Step-by-step explanation:

Step 1

We find the equation

Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.

Hence,

$4 × x + $2 = $30

Where x = number of books that he can buy

4x + 2 = $30

Step 2

We solve for x

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/4

x = 7

Hence, Brett can buy 7 books

Equation: 4x + 2 = $30

Word/phrase : Equation

He can afford to buy 7 books without spending more than his gift certificate amount

4,914÷7=
4
,
914
÷
7
=

Answers

4914/7= 702
914/7= 130.5714285714286

What is the value of the expression below when y = 8?
2y + 7
Answer:
Submit Answer

Answers

Answer:

23

Step-by-step explanation:

we will put 8 instead of "y" in the equation

2 x 8 + 7 = 23

2(8)+7
16+7
23
Answer= 23

Simplify 10cm:30cm
Simplify 2cm:1m

Answers

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

Answer:

Simplest form=10/30=1/3

=1cm:3cm

Step-by-step explanation:

Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?​

Answers

Answer:

Required Answer:-First go to first equation

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

Take common

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

Patty is inviting her friends to a party. She has 30 snack bars 45 juice boxed, and she wants to give the same number of each item to each friend.

Answers

Depends how many friends she has. Whatever that number may be, divide it by both 30 and 45 to have the same number per friend. If you get a decimal or fraction then round down to the nearest whole number
Example: 10 friends
30/10= 3 so 3 snack bars
45/10=4.5 so 4 juice boxes

(GRADE7MATH) Can somebody plz answer all the questions correctly and show ur answer..thanks!!
(Only if u done this before)
WILL MARK BRAINLIEST) :D

Answers

Answer:

7. 28

8. -40

9. 36

10. -18

11. -32

12. -49

13. -33

14. 30

Step-by-step explanation:

Multiply as normal. If the signs are different, the product is negative. If the signs are the same, the product is positive.

Answer:

7. 28

8. -40

9. 36

10. -18

11. -32

12. -49

13. -33

14. 30

Step-by-step explanation:

+ × + = +

+ × - = -

- × - = +

- × + = -

Factor -4 out of -8d + 20.
The factored expression is

Answers

2d-5 divide all numbers by -4

A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *

Answers

1,250/5 = 250 calories per serving
375/250 = 1.5 servings

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.

Answers

Use distributive property on first equation
5x + 2x - 8
Combine lick terms
7x -8
They are equal

What's the slope of this line

Answers

Answer:

slope= 1/2x-3

Step-by-step explanation:

Rise / run + the y intercept

verbal expression for the following numerical expression: ( 4 + 9 ) x 3

Answers

Answer:

I don't know if I'm doing this 100% correctly but I would put:

four plus nine's total multiplied by 3

Other Questions
I have a question. How do you deal with the pain, of knowing you cant date your crush, who you have liked for 1 and a half years, and knowing that her dad is the reason why. How should i deal with it cause i cant seem to get past it. How did the government work in the city-state of Sparta?A. Priests decided on laws after praying to the gods.B. One man and one woman were selected to make all laws.C. Adult men had the right to vote for laws and leaders.D. A group of elders had the most power to make decisions. Southern Home Cookin' just paid its annual dividend of $0.42 a share. The stock has a market price of $20 and a beta of 0.8. The return on the U.S. Treasury bill is 3 percent and the market return is 14 percent. What is the cost of equity? A. 8.8 percent B. 11.2 percent C. 11.8 percent D. 14.2 percent E. None of the above A car starts from rest and accelerates uniformly over a time of 7 seconds for a distance of 190m. Find the the acceleration of the car. Select the correct answer.What is DC offset?A.a low, inaudible noise created by the microphone while recordingB.a low inaudible noise made by the singer while recordingC.a low inaudible noise created by the recording device while recordingD.a loud audible noise created by the recording device while recordinga low inaudible noise created by the ambience of the recording roomE. Please help me this is due tomorrow if there was no technological advancement what would be our society like Rosa eats a peanut butter sandwich for lunch. Peanut butter contains a lot of protein, and bread is mostly starch. Rosa plans to go for a run later this afternoon. Rosa is breathing normally. How do Rosas body systems work together to get the molecules she needs into her cells? (Sentence starter: Rosa's body systems work together by... write an equation for the line above Use the paragraphs to answer the question.Vote No on the Highway 85 Extensionby Victoria Vail, Tribune staff writer Next week, the city council will consider a proposal to extend highway 85 by ten miles. A small coalition of real estate developers have hurried this proposal forward, hoping to capitalize on state tax breaks and reassuring the city that their intentions are good. In truth, however, the proposed extension would hurt our community. It would be bad for downtown businesses, bad for families, and bad for the environment.Bad for Downtown Businesses Developers claim that the land west of town is ripe to be turned into a combined retail/residential area. They say that the extension of highway 85 would give shoppers access to a greater variety of stores. In truth, though, we already have a great variety of stores downtownover 200 of them. Many of these businesses have been hurting for several years due to the neglect of the exit 10 overpass, which has made driving difficult. Extending highway 85 would give shoppers a reason to avoid downtown altogetherlikely dooming many small businesses and leaving buildings vacant. However, the overpass could be repaired at a fraction of the cost of the highway extension. This small investment in city infrastructure would be good for businesses and shoppers alike.In one to two sentences, identify the author's point of view and the author's purpose. can some one help me on this I need you too put them in cronlogical order please)!!! A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products? C is the element symbol for which element?a. Carbonb. Cadmiumc. Celeniumd. Chlorine Which word or phrase from the passage shows the purpose of the narrators violent gesticulations? Marching Bands: In how many ways can four marching bands and three floats line up for a paradeif two bands cannot march next to one another? Ordena cronologicamente los siguientes hechos de acuerdo con el texto.Regresar a casa Levantarse. Tomar la bolsa de la playa.Desayunar. Salir a la calle. Ducharse.1.4.. 2.5.3.6.56 Please help!!!! 20 points!!!Para conducir legamente, hay que____. Imagine you're cooking dinner for a few of your friends. You decide to make a salad with homemade dressing. Why do you need to think about the polarity of the different ingredients in your salad dressing in order for it to turn out well? Answer in 1 to 2 paragraphs. (10 points) Think about how polar molecules only mix with other polar molecules and nonpolar molecules only mix with other nonpolar molecules. algebra 2. pls help:( Solve the formula for the specified variable.f=m+n+p/2 pls hurry I need helpill give brainliest