What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?

Answers

Answer 1

Answer:

[tex]\displaystyle d = 34[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, -13)

Point (-1, 21)

Step 2: Find distance d

Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add:                              [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify:                             [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate:                           [tex]\displaystyle d = 34[/tex]

Related Questions

Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the speed of each person

Answers

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

:

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

6.5x= 5(x+1)

6.5x= 5x + 5

6.5x - 5x = 5

1.5x = 5

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

The Courtney's walking speed = 3.33 mph. Brandi's walking speed = 4.33 mph.

We have given that,

[tex]6.5x - 5x = 5[/tex]

Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

Let x = Courtney's walking speed

then (x + 1) = Brandi's walking speed

What is the formula time?

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time.

[tex]6.5/x + 1 = 5/x[/tex]

Cross multiply

[tex]6.5x= 5(x+1)[/tex]

Simplify parenthesis right side

[tex]6.5x= 5x + 5[/tex]

1.5x = 5

Isolate x.

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

(x + 1) = Brandi's walking speed

3.33 mph + 1 = 4.33 mph

Therefore,Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

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Please helllp meeee !!!

Answers

Answer:

B

Step-by-step explanation:

8/5=1.6

Answer:

b

Step-by-step explanation:

8/5=1.6

List three different combinations of coins, each with a value of 30% of a dollar.​

Answers

Answer:

1. 3 dimes

2. 1 quarter and a nickel

3. 30 pennies

Step-by-step explanation:

i hope this is it and i hope this helped <3

Answer:

3 nickels, 1 quarter and 5 pennies, and 30 pennies

Step-by-step explanation:

30% of a dollar is 30 cents. those all equal 30 cents

On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.

Answers

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

what fraction is equivalent to -3/2

Answers

Answer:

-1 1/2

Step-by-step explanation:

The feet of a poem can easily be compared to _______.

a heartbeat
footsteps
a musical beat
a drum beat

Answers

A footsteps I believe

Answer:

its a heartbeat.

Step-by-step explanation:

sorry for late answer, just answering for any future people.

-) Write 32 + 24 as a product of two factors using the GCF
and the distributive property.
32 + 24
?
+
?

Answers

Answer:

8 (4+3)

Step-by-step explanation:

32 + 24 as a product of two factors using the GCF is 8(4 + 3).

Greatest common factor (GCF)?

The greatest common factor (GCF) of two number is the largest number which can divide both the numbers completely.

Given,

The expression is 32 + 24 .

The greatest common factor of 24 and 32 can be found using the following method.

Common factors of 24 and 32 are:

2, 4, and 8

Out of all the common factors 8 is the largest number.

Therefore  greatest common factor of 24 and 32 is equal to 8.

Taking the GCF out we get:

                                       8(3 + 4)

Hence, 32 + 24 as a product of two factors using the GCF is 8(4 + 3).

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#SPJ1

this is for literal equations
A=4 πr2 (r2)

i think you solve for r2

Answers

Answer:

[tex]r^2=\dfrac{A}{4\pi}[/tex]

Step-by-step explanation:

The given equation is A=4 πr².

We need to solve the above equation for r².

We have,

A=4πr²

Dividing both sides by 4π, we get :

[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]

Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].

The admission tickets to an exhibition at $5 for an adult and $2 for a child. A family of 3 adults and 4 children visited the exhibition. What would be the charge if $50 note was used to buy the tickets?

Answers

Given :

The admission tickets to an exhibition at $5 for an adult and $2 for a child.

A family of 3 adults and 4 children visited the exhibition.

To Find :

What would be the charge if $50 note was used to buy the tickets.

Solution :

Charge of 3 adult ticket is, A = $( 5 × 3 ) = $15 .

Charge of 4 children ticket is, C = $( 4 × 2 ) = $8 .

Total amount to pay is :

T = $( 15 + 8 )

T = $23

Therefore, they get $( 50 - 23 ) = $27 change.

14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the
coordinate of point D that makes the quadrilateral a rhombus?
PLEASE HELPPP

Answers

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

Marquis started at an elevation of 3000 feet and hiked down a mountain at a constant rate. His elevation decreased 500 feet per hour.
Graph the relationship between Marquis’ elevation and time as he hiked down the mountain.

Answers

Answer:

if u divide it then slop  it u will get your answer

Step-by-step explanation:

Please help! Question posted above ^

Answers

Answer:

( x^2 - 6 )^2

Step-by-step explanation:

x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)

*solution* ( x^2 - 6 )^2

newibfib

bewbhbhdcwebcwbch

Answers

Step-by-step explanation:

Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, How many packs of pickled peppers did Peter Piper pick?

The two triangles shown are congruent: AFHG=AJKL. Based on this information,
which of the following is a true statement?
A) HELL
B) JK= FG
OC) GEL
D

Answers

Answer is c in the photo
the correct answer would be C. also you’re welcome

Round 3.456 to the nearest hundredth.
3
3.45
3.46
3.5

Answers

3.5
after the decimal it goes tenth, hundredth, thousandth

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.

Answers

Answer:

only one solution

Step-by-step explanation:

Complete question:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Given the expression

2x − y = 2 .... 1

3x + y = −6  ..... 2

We are to determine the number of solution the equation has:

Add equation 1 and 2

2x + 3x = 2 - 6

5x = -4

x = -4/5

Substitute x = -4/5 into 1

From 1: 2x − y = 2 .... 1

2(-4/5) - y = 2

-8/5 - y = -2

-y = -2+8/5

-y = -10+8/5

-y = -2/5

y = 2/5

Since the value of x and y are just 1 hence the system of equations has ine solution

A bottle contains 24oz of liquid medication.If the average dose is 2/3oz. How many dose does the bottle contain

Answers

Answer:

36

Step-by-step explanation:

keep, flip, change...

24 ÷ [tex]\frac{2}{3}[/tex] would be the same as [tex]\frac{24}{1}[/tex] × [tex]\frac{3}{2}[/tex] which is equal to [tex]\frac{72}{2}[/tex] (36 if you simplify it)

The number of dose of 2/3oz of liquid medication does the bottle contain is 36.

What is the fraction number?

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

A bottle contains 24oz of liquid medication and the average dose is 2/3oz.

Let suppose the number of dose does the bottle contain is n. There is total 24oz of liquid medication in the bottol.

As the average dose is 2/3oz. Thus the number of dose in the bottle which has 24oz of liquid medication is,

[tex]n=24\div\dfrac{2}{3}\\n=24\times\dfrac{3}{2}\\n=36[/tex]

Thus, the number of dose of 2/3oz of liquid medication does the bottle contain is 36.

Learn more about the fraction number here:

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you play tennis against a player that you have a 20% chance of winning. what is the probability g

Answers

Question:

You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?

Answer:

[tex]Probability = 0.262144[/tex]

Step-by-step explanation:

Represent the probability of winning with P(Win)

[tex]P(Win) = 20\%[/tex]

Required

Determine the probability of not winning 6 games

First, we calculate the probability of not winning a game.

Opposite probability add up to 1.

So, we have:

[tex]P(Win) + P(Lose) = 1[/tex]

[tex]P(Lose) = 1 - P(Win)[/tex]

[tex]P(Lose) = 1 - 20\%[/tex]

[tex]P(Lose) = 100\% - 20\%[/tex]

[tex]P(Lose) = 80\%[/tex]

The sample space of losing 6 games is:

Lose Lose Lose Lose Lose Lose

Therefore, the probability is:

[tex]Probability = 80\% *80\% *80\% *80\% *80\% *80\%[/tex]

[tex]Probability = 0.80*0.80*0.80*0.80*0.80*0.80[/tex]

[tex]Probability = 0.262144[/tex]

help me plzz i will pay you back what ever

Answers

Answer:

i beleive its A

Step-by-step explanation:

i say its A due to the phrase "no more" is accurate to showing that the 200 is truly "More than or equal too"

a. tan2 -sin= sin2 tane

Answers

Step-by-step explanation:

tan²θ - sin²θ

= sin²θ/cos²θ - sin²θ

= sin²θ * (1/cos²θ - 1)

= sin²θ * (csc²θ - 1)

= sin²θ * tan²θ. (shown)

PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −3
0 0
1 3
g(x)

g(x) = 7x + 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

Here,

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

What do we put in the first boxes

Answers

Answer:

What BOXES?

Step-by-step explanation:

Need help with this one.

Answers

Yo honestly I don’t know but I wish you the best keep going bruv

Answer:

7.82

Step-by-step explanation:

4x−5 for x=10

Please, I really need the answer.

Answers

Answer:

4(10)-5=35

Step-by-step explanation:

4(10)=40-5=35

4(10) is the same as 4x10

So think about it like 4x10-5

I hope this helps ;}

Y’all keep on getting it wrong so do it right

Answers

Answer:

But it's your work so you shouldn't be the one complaining. You are depending on us.

Btw, the answer is deleted.

Answer:

the answer is lemme cop these 5 points real quick

At 9 a.m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker.
At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a.m. when Jessica and Kate will be in
the same position on the parkway?

Answers

Answer:

See below

Step-by-step explanation:

Start time = 9 A.M.

JessicaStart point- 40 milesSpeed - 30 mph

Equation:

y = 40 + 30xKateStart point- 10 milesSpeed - 40 mph

Equation:

y = 10 + 40x

Note. There is no graph but see the attached. It should be similar graph for this case

The will meet after 3 hours at 130 miles mark

Solving the system of equations we get:

40+30x = 10 + 40x10x = 30x = 3

And y is:

y = 40+3*30 = 130

(3, 130) is the intersection of lines

Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.

A ball is dropped from a height of 9 meters. On each bounce, it rises to 35% of its previous height.

When it hits the ground for the sixth time, how far has it traveled?


Round your answer to the nearest hundredth.

Answers

I believe it’s .006 because 9 times .35 6 times is .00579054

I need help with this problem, I’d appreciate it if someone helped.

Answers

Answer:

answer A looks good

Step-by-step explanation:

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

Answers

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Answer: ABC is 60

BAC is 50

ACB is 70

Step-by-step explanation: welcome

PLEASE HELP Maya wants to make a pyramid out of plaster for social studies class. How much plaster does she need to make a rectangle prism of what the dimensions shown below?

Answers

Maya needs 176 cubic inches of plaster to make the rectangular pyramid

In order to determine the amount of plaster needed, we need to determine the volume of the rectangle pyramid.

Characteristics of a  rectangle pyramid

It is a 3-dimensional shape. It is made up of a rectangular base and 4 triangular faces. The 4 triangular faces are joined at a vertex.

Volume of a pyramid = 1/3 x ( length x base x height)

[tex]\frac{1}{3}[/tex] x ( 11 x 8 x 6) = 176 in³

To learn more about rectangle pyramid, please check : https://brainly.com/question/15246882?referrer=searchResults

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