What is the distance between the following coordinates? Show work.

(5, -6) and (3, 4)
SHOW WORK

Answers

Answer 1

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } } [/tex]

♁ Question :Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

Step by step explanation:

Let the points be A and B. Now,

Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

[tex] \boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}[/tex]

Substitute the actual value of the points into the distance formula and then simplify.

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]

Remember : ( - ) × ( - ) = ( + )

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}[/tex]

Add the numbers : 4 and 6

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}[/tex]

Evaluate the power

[tex] \longrightarrow{ \sf{ \sqrt{4 + 100}}} [/tex]

Add the numbers : 4 and 100

[tex] \dashrightarrow{ \sf{ \sqrt{104}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}[/tex] units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is [tex] \sf{2 \sqrt{26}} [/tex] units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl


Related Questions

PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?

Answers

Umm you can say if you enter a taxi you have to pay 15 dollar for the taxi cab and u have to pay additional 4 dollars every mile you travel . X would represent miles traveling

PLEASE HELP!! PLEASE GIVE EXPLANATION!

Answers

As the months increase the money decrease
As time increases, the amount of money increases as shown by when x increases, so does y.

For part B, there is an increase of 45 dollars in the account per month.

You can find this value by calculating the change in y over the change in x. For example:

(557-467)/(8-6)

Evaluate the parenthesis and simplify:
90/2 = 45 dollars per month

A $290 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
HURRY I NEED THE ANSWE ASAP

Answers

Answer:

261 ! Round to the nearest dollar

Dos o más ángulos son_______________________ si la suma de sus medidas es 90°

Answers

Answer:

Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.

I’m not sure it use spanishdict it helps me a lot

25 POINTS!!!
The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need?
StartFraction 3 Over 10 EndFraction of a pound
StartFraction 8 Over 15 EndFraction of a pound
1 and StartFraction 7 Over 8 EndFraction pounds
3 and one-third pounds

Answers

Answer:

i think its the 3erd one... im giveing a estimate because of that one dude. lol

Step-by-step explanation:

im so so so so sorry if its wrong!!!

Answer:

C

Step-by-step explanation:

subtract the sum of ( a-3b-2c) from sum of *( 3a- 2b + c ) and ( 2a+ b+ 3c)

Answers

Answer:

A ~ A

Step-by-step explanation:

A and another A to make a upside down face with a squiggly.

PLS HELP ME WITH THIS

Answers

9514 1404 393

Answer:

Abby left some squares under the radical20x³√(3x)

Step-by-step explanation:

  [tex]5x\sqrt{48x^5}=5x\sqrt{3x(4x^2)^2}=(5x)(4x^2)\sqrt{3x}\\\\=\boxed{20x^3\sqrt{3x}}[/tex]

The cost of 9 scarves is $65.25. What is the unit price?

The unit price is $____ per scarf.

Answers

Answer:

7.25 each or 7.00 if rounded

Step-by-step explanation:

Wow this is easy I think just do 8 times 65.25

Describe the total change to Ms. Thomas' savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.

Answers

Answer:

$-1465.5

Step-by-step explanation:

Complete question

Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$2,931 from payments made on her car loan. Describe the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.

Given the following

Savings balance (after 1 year) =

−$2,931

If she pays the same amount on her car loan each month, we are to find the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan, this can be expressed as;

$x = 6months savings

Solving both equalities

Savings balance (after 1 year) =

−$2,931

Since 1year = 12months

-$2,931 =12months savings

$x = 6months savings

To get the total savings after 6months we will find x by cross multiplying;

12×x = -2931×6

Divide through by 12

12x/12 = (-2931×6)/12

x = -2931/2

x = -1465.5

Hence Ms. Thomas' savings account balance after making six monthly payments on her car loan is $-1465.5

use the graph to answer this question to the nearest tenth what is the length of EG

Answers

Answer:

218 (not positive its correct)

Step-by-step explanation:

Jose tacking care of a nabers cat for 5 days he has 3 cans of food he needs to feed the cat the same amont every day howw much food shold joes feed the cat per day

Answers

Answer:

If the owner left only 3 cans of food for 5 days, that means that we have to divide those cans of food so we can just do simple math and divide 3 by 5

3/5 and you get 0.6

So the cat must eat 0.6 of each can everyday.

The horizontal asymptote of the rational function f(x)= −2/+2 (x minus 2 over x plus 2) is *

Answers

9514 1404 393

Answer:

  y = 1

Step-by-step explanation:

The horizontal asymptote can be found as the ratio of the highest-degree terms in the numerator and denominator.

  f(x) = (x -2)/(x +2)

lim (x→ ±∞) of f(x) = x/x = 1

The ratio of yellow bottles to green bottles is 3:7. If I have 50 bottles, how many are yellow?
7

15

35

21

Answers

Answer:

15

Step-by-step explanation:

3 + 7 = 10

50/10 = 5

5 • 3 = 15

5 • 7 = 35

35 + 15 = 50

What is the unit rate for the cereal when it is 3/$10?

A $3/box

B $3.30/box

C $3.33/box

D $3.67/box

Answers

C. $3.33 It is the only one where it will equil $10 after you add it up

Answer:

B

Step-by-step explanation:

to find unit rate you want to find out how much of one thing cost so you would divide the top by 3 to get it to 1 and whatever you do to the top you have to do to the bottom

HELPPPPPPPPP ASAPPP!!!!!!!!

Answers

Answer:

A is correct

3.75x 1^5 is also written as 375000

Divide 375000 by 75 and u get 5, 000

5 times 10^3 is also 5000

therefore A is correct

Step-by-step explanation:

Answer:

5000 or A. 5 x [tex]10^{3}[/tex]

Step-by-step explanation:

3.75 x [tex]10^{5}[/tex] = 375000

375000/75 = 5000

after a baby was born she began to gain weight at a rate of 2lbs pee month. the weight of the baby at birth was 8lbs. write an equation for W in terms of representing weight in pounds of the newborn baby t months after birth​

Answers

Answer:

The required function is: [tex]W(t) = 2t+8[/tex]

Step-by-step explanation:

The weight of the baby increases 2lbs per month which means that it is a linear function.

Now given that the initial weight was 8lbs it will remain constant.

Let t be the number of months and as the weight gain is 2 lbs per month, 2t will be the weight gain after t months.

The function can be written as:

[tex]W(t) = 2t+8[/tex]

Hence,

The required function is: [tex]W(t) = 2t+8[/tex]

what is the highest common factor of 10,18 ,20 and 36​

Answers

Answer:

2

Step-by-step explanation:

Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12

The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF

Hope this helps

The HCF is 2.

What is HCF?

The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.

For example, 2 is the HCF of 4 and 6.

Given numbers:

10,18 ,20 and 36​

Now splitting the factors of each number we have

10=2*5

18=2*3*3

20=2*2*5

36=2*2*3*3

Hence, the Highest common factor is 2.

Learn more about HCF here:

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3 5/8 to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

3 and 5/8 is closer to 4 then 3 easy

Kendrick walked 5/12 a mile in 1/2 of an hour how fast did he walk

Answers

Answer:

0.833 mph

Step-by-step explanation:

5/12 miles / 0.5 hours = 0.833 mph

5/6

Kendrick walked

5

12

of a mile in

1

2

of an hour. How fast did he walk?

Simplify your answer and write it as a proper fraction, mixed number, or whole number.

miles per hour

You answered:

0.5

miles per hour

solve

Find the rate in miles per hour. Divide

5

12

of a mile by

1

2

of an hour.

To divide by

1

2

, multiply by its reciprocal, 2.

5

12

÷

1

2

=

5

12

2

=

52

12

Rewrite the denominator to identify common factors.

52

12

=

52

26

Cancel common factors and simplify.

52

26

=

52

26

=

5

6

Kendrick's rate was

5

6

of a mile per hour.

Anahuac was
a.
a Native American tribe living in North Texas.
b.
the site of a small fort that controlled commerce into Mexico.
c.
a battle during the Mexican Revolution for independence from Spain.
d.
the leader of Mexico.

Answers

The answer is B

I hope you have a nice day!

Answer:

b

Step-by-step explanation:

took test on edge 2020

Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation

`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?

Answers

Answer:

i don't know the answer but i really want the points

Step-by-step explanation:

On the Mertler’s vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

180/3 = 60

120/2 = 60

Just make it into a fraction and divide. They are driving 60 mph.

1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8

Answers

Answer:

y=mx+b no judgement i think this is right but i coukldbe completely off

Step-by-step explanation:

Timothy bought concrete mix for several projects. He used 3.5 bags of concrete mix for a new set of stairs and 2.25 bags of concrete mix for a garden wall. Timothy mixed 345 pounds of concrete in all. Answer parts a and b

Answers

Answer: 3.5y + 2.25y =345

Step-by-step explanation:

What is 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x100Divided by 5 mutpliply 200 add 2 million minus 1000

Answers

Answer:

21

Step-by-step explanation:

;)

Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).

Answers

Answer:

[tex]y=6x+43[/tex]

Step-by-step explanation:

We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).

Since the new line is parallel, it must have the same slope as the original line.

The slope of the original line is 6.

Hence, the slope of our new line must also be 6.

We know that the slope is 6.

And it passes through the point (-7, 1).

So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]y-1=6(x-(-7))[/tex]

Simplify:

[tex]y-1=6(x+7)[/tex]

Distribute:

[tex]y-1=6x+42[/tex]

Add 1 to both sides. Hence, our equation is:

[tex]y=6x+43[/tex]

Uhhh just look at the photo I guess
Work out the area of this circle.
Take pi to be 3.142 and write down all the digits given by ur calculator

Answers

Answer:

314.2 cm²

Step-by-step explanation:

The formula for the area of a circle is πr², so since the radius is 10, just multiply 100 × π, which is 314.2, since the problem told you to use 3.142 for π.

What is an equation of the line thaj passes through the point (6, 3) and is parallel to
the line x + 3y = 24?

Answers

If two lines are parallel, they will have the same gradient, m1=m2

The equation that passes through the points (6, 3) and is parallel to the line x + 3y = 24 is [y = -1/3x + 5].

What are line equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the equation will be:

Equation passes through the points (6, 3).Parallel to line x + 3y = 24.

Now, calculate as follows:

x + 3y = 2yy = -x/3 + 8

The gradient of the line: -1/3

y - 3 = -1/3(x - 6)y = -1/3x + 5

Therefore, the equation that passes through the points (6, 3) and is parallel to the line x + 3y = 24 is [y = -1/3x + 5].

Know more about line equations here:

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At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *

Answers

Answer:the answer is 3/8.

Step-by-step explanation:

Awan makes 1 3/4 quarts of tea he drinks 2/5 of the tea how many quarts of tea did awan drink

Answers

Answer:

1 7/20 or 27/20

Step-by-step explanation:

Convert the fraction to where the denominators are both equal then subtract 2/5

A fraction is a way to describe a part of a whole. The amount of coffee that Awan drinks is 0.7 quarts.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given Awan has 1 3/4 quarts of tea, also he drinks 2/5 of the coffee, therefore, the amount of coffee that Awan drinks is,

Amount of Coffee = 1 3/4 × 2/5

Amount of Coffee = 7/4 × 2/5 = 14/20 = 7/10 = 0.7 quarts

Hence, the amount of coffee that Awan drinks is 0.7 quarts.

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