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

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

Check the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answers

Answer:

4/25

Step-by-step explanation:

Its 4/25 as a fraction

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

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

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.  

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

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

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

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 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

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

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

Answers

Answer:

x=12

Step-by-step explanation:

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

What is the length of the unknown side?

Answers

Answer:

20!

Step-by-step explanation:

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.

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!      

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 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

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

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

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

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:

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

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.

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

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

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

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)

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

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

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