find the distance between two points ( -1,1) and (2,-4)

Answers

Answer 1

Answer:

The distance between two points ( -1,1) and (2,-4) is:

[tex]d=\sqrt{34}[/tex]  or d = 5.8 units.

Step-by-step explanation:

Given the points

(-1, 1)(2, -4)

Finding the distance between (-1, 1) and (2, -4) using the formula

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) =  (-1, 1)   and  (x₂, y₂) = (2, -4)

   [tex]=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}[/tex]

   [tex]=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}[/tex]

   [tex]=\sqrt{3^2+5^2}[/tex]

   [tex]=\sqrt{9+25}[/tex]

   [tex]=\sqrt{34}[/tex]  units

or

[tex]d = 5.8[/tex] units

Therefore, the distance between two points ( -1,1) and (2,-4) is:

[tex]d=\sqrt{34}[/tex]  or d = 5.8 units.


Related Questions

8 less a number is less than or equal to 17

Answers

Answer:

less than

Step-by-step explanation:

8 is less than 17

Answer :n ≤ 25

Step-by-step explanation:

n - 8 ≤ 17

n - 8 (+8) ≤ 17 (+8)

n ≤ 25

n ≤ 25 is your answer

help me

How many distinct permutations can be made from the letters of the word

“INDEPENDENCE”?


if anyone could answer, thank you (^-^)​

Answers

Answer:

360

Step-by-step explanation:

Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1

There are six different letters in INDEPENDENCE

Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is  

[tex]^{6}C _{4}[/tex]

 and making its arrangements

So total number of ways is  

[tex]^{6}C _{4}[/tex] ×4!=360

The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200

We are given the word INDEPENDENCE and it has;

I − oneN - threeD − twoE - fourP - oneC - one

Thus, we see that there are six different letters and 12 letters in total in INDEPENDENCE

Now from the question, the distinct permutations that can be formed is;

12!/(3! × 2! × 4!) = 1663200

Read more on permutations at; https://brainly.com/question/12468032

HEEEEEEEEEEELLLLLLLLPPPPPPPPPPP. PPPPPPLLLLLLEEEEEEAAAAASSSSSEE When Laura started her career at the age of 24, she deposited $800 into a savings account that earns 8.75% interest compounded semiannually. If she makes no other deposits or withdrawals, find the total amount in the account when she retires at the age of 65.

Answers

Answer:

she mad 52,000

Step-by-step explanation:

she made 52,000 by working by her job

What is this can you help

Answers

Answer:

yes

Step-by-step explanation:

the algebraic expression for 24a+27​

Answers

Answer:

3(8a+9) correct me if i'm wrong.

Step-by-step explanation:

If you have $32 and you want to see how many bulbs of elephant garlic you want to buy if four bulbs costs $8 , you first need to see how many $8 can fit into $32 . Thus, divide 32 by 8 . Now that you know $8 can fit into $32 four times, multiply 4 by 4bulbs , since there are four bulbs per $8 .

Answers

Answer:

What's the question it awnsers itself?

Step-by-step explanation:

factorise 3abc+6a²b pleaze with step too​

Answers

Answer:

3ab(c+2a)

Step-by-step explanation:

Given data

3abc+6a²b

we can see that 3, a, and b are common between the two terms

so let us factor them out

3ab(c+2a)

Hence the factored form is

3ab(c+2a)

Alex can climb 8 feet in 30 seconds and can run 112 feet in 20 seconds. When you combine his climbing and running, how many inches would that be?

Answers

Answer:

129024

Step-by-step explanation:

hope this help:)

Answer:

1440

Step-by-step explanation:

You add 8 + 112 then divide that by inches

The hypotenuse of a right triangle measures 20 cm and one of its
legs measures 10 cm. Find the measure of the other leg. If
necessary, round to the nearest tenth.

Answers

I’m pretty sure 17.3 because of you do a^2+b^2=c^2 you get a^2= 10 square root 3 and that in a decimal is 17.3205

Answer:

8

Step-by-step explanation:

6
Divide 2m in the ratio 9-1

Answers

Answer:

Step-by-step explanation:

First, add up the two numbers in the ratio to get 8. Next divide the total amount by 8, i.e. divide £40 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.

To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3.

Write a rational function for the given scenario. There may be more than one correct answer.

Question 1. X-intercept: none
Vertical Asymptote: X = -3
Horizontal Asymptote: y = 0

Question 2. X-intercept: none
Vertical Asymptote X=2 & x= -2
Horizontal Asymptote: y = 0

Question 3 x-intercept: (3,0) & (-3,0) Vertical Asymptote: X=-1 & x= -4
Horizontal Asymptote: y = 1

Question 4. X-intercept: (-2, 0)
Vertical Asymptote: X = 4 & x=-5 Horizontal Asymptote: y=0

Need to make a rational function for each question.

Answers

Answer:

Q1:     [tex]\frac{1}{x+3}[/tex]

Q2:     [tex]\frac{1}{(x-2)(x+2)}[/tex]

Q3:     [tex]\frac{(x-3)(x+3)}{(x+1)(x+4)}[/tex]

Q4:     [tex]\frac{x(x+2)}{(x-4)^{2}(x+5) }[/tex]

Step-by-step explanation:

If there is a vertical asymptote at x=k, then the denominator must contain a term (x-k) or (x-k) raised to a positive integer power.

If there is an x intercept at k, then the numerator must contain a term (x-k) or (x-k) raised to a positive integer power.

If there is a horizontal asymptote of 0, then the highest power of x in the denominator must exceed the highest power of x in the numerator.

If thee is a horizontal asymptote of k, then the highest power of x in the numerator and denominator must be the same and the ratio of their coefficients (numerator to denominator) must be k.

20 POINTS / I need this ASAP Solve the Problem

Answers

Answer:

n= 7.5

Step-by-step explanation:

So to get the answer to this equation, we have to create different equivalent equations, in the base equation so that in the end all bases are equivalent to solve for n.

Exact Form:

7/2

Decimal Form:

3.5

Mixed Number Form:

3 1/2

Hope this was helpful! Have a great day! :)

Answer:

n = 4

Step-by-step explanation:

Properties of Exponents

We are required to solve the following equation:

[tex]\displaystyle 7^7\cdot 7^5=\frac{(7^n)^4}{7^4}[/tex]

Operating:

[tex]\displaystyle 7^{7+5}=\frac{7^{4n}}{7^4}[/tex]

[tex]\displaystyle 7^{12}=7^{4n-4}[/tex]

Equating the exponents:

4n - 4 = 12

Adding 4:

4n = 16

Dividing by 4:

n = 4

Andre withdrew spending money from his checking account that initially had $982. What was the amount of his withdrawal, w, if his ending balance was $922.

Answers

Answer:

$60.00

Step-by-step explanation:

you subtract the original number with the new number to see the difference.

Plsss help plssssssss

Answers

The answer is (2,6)
X:2
Y:6

Answer:

x = 2

y = 6

Step-by-step explanation:

We have a system of equations and are asked to solve for x and y.

y = -2x + 10

y = 3x

Since both equations start with y, we can subtitute.

3x = -2x + 10

Solve for x :

Add 2x to both sides :

5x = 10

Divide 5 from both sides :

x = 2

Now substitute x in the second equation because it's more easier :

y = 3(2)

3(2)

6

y = 6

The area of a parallelogram is 8x^2+2x-6 and it's height is 2x+2. What is the base of the parallelogram?​

Answers

Answer:

4x - 6

Step-by-step explanation:

Remember the formula for finding the area of a parallelogram;[tex](base)*(height)=(area)[/tex]

Manipulate the equation such that it is solved for the base;

[tex](base)=\frac{(area)}{(height)}[/tex]

So the equation that needs to be solved is;

[tex]\frac{(8x^{2} + 2x - 6 )}{(2x + 2)}[/tex]

Set up the division problem and solve;

              _____4x - 6___

[tex]2x + 2[/tex]     | [tex]8x^{2} + 2x - 6[/tex]

             [tex]-(8x^{2}+8x)[/tex]

                ________

                       -6x - 6

                      [tex]+ (6x + 6 )[/tex]

                      ________

                              0

What percent of 2/3 is 1/6? HELP!!!!! :(​

Answers

Answer:

Look at the pictures

Step-by-step explanation:

Hope this helps

59 + 4/9y
y= -1/2
Thank you

Answers

Answer:

=

4 /9 y+59

Step-by-step explanation:

Answer: 58.78 or 58 and 7/9ths

Step-by-step explanation:

59+4/9(-1/2), 59-2/9=58.78 or 58 and 7/9ths

(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J is at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ

Answers

I think the answer is H-I

Answer:The guy above me is correct you can give him brainlest.

Have a great day!

please answer my question

Answers

it’s 7.1 acute
have a good day!!

If 19 erasers cost $3

Answers

If 19 erasers cost $3, then one eraser costs approximately 15 cents

look at the pic~ find the area of the figure please ​

Answers

Answer:

164 m^2

Step-by-step explanation:

14*11=154

5*2=10

10+154=164

The average length of the dragon used in the performance is 12 feet. The dragon is divided into 9 sections. How long is each sections

Answers

Answer:

do it urself sorry i letterely dont know

Step-by-step explanation:

it’s gonna be 12 divided by 9
so each section is 1.33333 or 1.3 feet

Rational expression please help

Answers

Answer:

Option C is the correct answer of this question .

plz mark my answer as brainlist plzzzz.

HELP ME PLEASE!

I am currently working on my homework and this question popped up. I don't remember how to do it... If you can, please answer this question and show your work so I can do it next time!
Thank you so much!

Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Answers

Answer:

Angle CAB= 63°

Angle ABC= 90°(right-angle)

ACB=180°-(CAB+ABC)

=180°-(63°+90°)

=180°-153°

=27°

Step-by-step explanation:

Answer:

BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°

Step-by-step explanation:

A fishing boat is hauling up a lobster trap. A machine called a winch pulls the trap up at a constant rate of 85 feet per minute.

Each ordered pair below represents a number of minutes elapsed, t, and a number of feet the lobster trap has traveled, d.

Which ordered pairs represent the correct relationship between distance and time? Select all that apply.
A.
(1,85)
B.
(0.85,1)
C.
(0.2,17)
D.
(3.5,297.5)
E.
(4,350)

Answers

Answer:

A, C, D

Step-by-step explanation:

We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output

(A) 1*85-85

(B) 0.85*85 = 72.75

(C) 0.2*85 = 14

(D) 3.5*85 = 297.5

(E) 4* 85 = 340

A, C, and D match up

Tell whether (-8,2) is a solution of -x-6y>12

Answers

Answer:

it ain't

Step-by-step explanation:

x = -8

y = 2

-(-8) - 2(6) > 12

8 - 12 > 12

-4 > 12

This is incorrect

A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 19 years after it was purchased, to the nearest hundred dollars?

Answers

Answer:

The answer is "$238".

Step-by-step explanation:

Current worth[tex]= \$ 17,000[/tex]

depreciates by [tex]\frac{1}{2}[/tex] in 3 years.

time=  19 years

depreciates rate=?

Using formula:

[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]

[tex]\to A_t=A_0(1-\frac{r}{100})^t[/tex]

calculates depreciate value in 3 year [tex]= \frac{1}{2} \times 17,000[/tex]

                                                              [tex]= 8,500[/tex]

so,

[tex]A_t=8,500\\\\A_0=17,000\\\\t=3\ years[/tex]

[tex]\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%[/tex]

depreciates rate= 20%

[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]

[tex]= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238[/tex]

Answer:

200

Step-by-step explanation:

Halving Formula:

y=a\left(\frac{1}{2}\right)^{\frac{t}{h}}

y=a(

2

1

)

h

t

a=17000\hspace{40px}h=3\hspace{40px}t=19

a=17000h=3t=19

h is the halving time

\text{Plug in:}

Plug in:

y=17000\left(\frac{1}{2}\right)^{\frac{19}{3}}

y=17000(

2

1

)

3

19

y=210.826702215

y=210.826702215

y\approx 200

y≈200

How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?

Answers

Answer:

6 years

Step-by-step explanation:

$8 per year 48÷8=6 years

Answer:

Dude i don´t eeven know

Step-by-step explanation:

ty for da points tho

A triangle has one angle that measure 75% and one that measure 19% what is the measure of the third angle

Answers

Answer:

86%

Step-by-step explanation:

angles in the triangle add up to 180

so we add 75% and 19%

to get 94%

then we subtract 180 by 94%

to get 86%

Solve and show your work: |4x − 1| = 13
PLEASE HELP ME

Answers

Answer: x=7/2, x=-3

Step-by-step explanation:

First lets do look at it without the absolute value marks

4x-1=13

4x=14

x=7/2

Now lets do the same but assume 13 is negative,

4x-1=-13

4x=-12

x=-3

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