Find the distance between the points (5, 3) and (7,6).

Answers

Answer 1

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following points onto that equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex](x_{1}, y_{1}) = (5, 3)[/tex]

[tex](x_{2}, y_{2}) = (7, 6)[/tex]

-Solve the equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex]d = \sqrt{2^2 + 3^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

So therefore, the distance is [tex]\sqrt{13}[/tex].


Related Questions

Estimate the number of school-aged children in the city where the population is approximately 60,000, if 1 of every 10 citizens is a school-aged child. If 500 children can attend each school, about how many schools will the city need?​

Answers

1 out of 10 are school aged.

Divide total population by 10:

60,000 / 10 = 6,000 are school aged.

Each school holds 500, divide school aged by 500:

6,000 / 500 = 12

They would need 12 schools.

The number of schools the city with the population 60,000 requires are 12.

Given that, the number of school-aged children in the city where the population is approximately 60,000.

In population 1 out of 10 are school aged.

Divide total population by 10

60,000/10 = 6,000 are school aged

Each school have 500 children, so the number of schools are

6,000/500 = 12

Therefore, the number of schools the city needs are 12.

To learn more about the unitary method visit:

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How many times larger is 5 × 10^6 than 5 × 10^2​

Answers

Answer:

3 times

Step-by-step explanation:

The number 5 x 10⁶ is 10000 times greater than the number 5 x 10².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the numbers are 5 x 10⁶ and  5 x 10². How many times the number is greater will be calculated by dividing the bigger number by the smaller number.

E  = ( 5 x 10⁶)  / ( 5 x 10² )

E = 10000

Therefore, the number 5 x 10⁶ is 10000 times greater than the number 5 x 10².

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(5/8 x - 10) - (1/8 x - 12)

Answers

Answer: 16x-25 over 4(4x-5)(2x-3)

Step-by-step explanation:

(5/8x -10) - (1/8x - 12)
5/8x - 1/8x =1/2 (if simplified)
-10 - -12
-10+12
10-12
-2
1/2x - -2
Answer 1/2x +2

POSSIBLE POINTS: 10
The total distance in inches a toy train moves varies directly with the time in seconds. In 16 seconds, the toy train moves a total distance of 272 inches.
What is the time in seconds the toy train moves when the total distance is 527 inches?

Answers

Answer:

The time in seconds that the toy train moves is 32.9375 or rounded 33 seconds.

Step-by-step explanation:

hope it helps :) brainliest pls

Rylie paid $12 for two cans of racquetballs. The green bars represent the amount she spent, and the blue bars represent the number of cans she bought. What is the ratio of how much Rylie paid to the number of cans she purchased, in simplest form?

Answers

Answer:

18$

Step-by-step explanation:

If you divide 12 by 2 then you will get 6 so 6 times 3=18.

sorry if I'm wrong.

Answer:

18:3 should be the answer

Step-by-step explanation:

1 inch corresponds to 4ft, what is 2 1/4 inches converted to feet

Answers

Answer:

9 feet

Step-by-step explanation:

2 1/4 can be written as an improper fraction 9/4

we are given:

1 inch ----> corresponds to 4 feet

hence,

2 1/4 inch ---> corresponds to 4 feet x 2 1/4 = 4 x (9/4) = 9 feet

Which of the following could be the first sentence in a paragraph proof of the statement below?
If 2x + 5 = 11, then x = 3
(point)
A.The solution of the given statement is 2 = 3.
.BThe solution of the given statement is 23 + 5 = 11.
C.The given statement is x = 3.
D.The given statement is 2x + 5 = 11.
Can someone help me with this asap

Answers

Answer:

D(may not be D for everyone)

Step-by-step explanation:

The given statement is 2x + 5 = 11 :)

What’s the answer does anyone know?

Answers


56.57

Explanation:
In the process,
Diameter= 18,
Radius(r)=
18
2


Radius= 9
Now,
Circumference (Perimeter) = ?
According to the formula,
Perimeter= 2
×
22
7
×
r

Taking the equation,
Perimeter= 2
×
22
7
×
r

2
×
22
7
×
9

396
7

56.57142857

56.57

Let's hope this helps you:)
I hope this helps. Just plug it into the formula and you’re good

Find the missing angles
I need help with the linear triple and any other ones would be helpful thank you

Answers

m=123 degrees g=81 degrees f=99 degrees k=57 degrees q=81 degrees s=42 degrees h=123 degrees p=99 degrees r=57 degrees v=123 degrees u=57 degrees

7x − 14 = 7(x − 2)

please help ❤️

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

Let's solve this equation my simplifying it so that we have x on one side.

Apply the distributive property on the right side:

[tex]7x - 14 = (7\cdot x) + (7\cdot -2)\\\\7x-14 = 7x-14[/tex]

Woah, that's strange. We have the exact same thing on both sides of the equation. This means there are infinite solutions. If we tried simplifying this, we'd just end up with 0 = 0.

Test it out! Any value of [tex]x[/tex] will work for this equation.

Hope this helped!

Solve it
it's easy
take as much time you need☺️​

Answers

hope it helps......hehhehehe

Step-by-step explanation:

101^2= [100+1]^2

[100]^2 +1^2+2×100×1

=10000+1+200

=10201

HOPE IT HELP.......

A racecar driver holds the record for the fastest speed of 212.809 miles per hour.

Part A
What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.



Part B
Which explains how you round 212.809 to the nearest hundredth?
A.


Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.


Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.


Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.


Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.

Answers

Answer: 212.81

C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place

Step-by-step explanation:

What is 212.809 rounded to the nearest hundredth?

When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.

Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,

212.809 = 212.81 to nearest hundredths

Evaluate this expression -|-3|

Answers

Answer: absolute value: -3

answer without absolute value: 3

Step-by-step explanation:

Since it has absolute value signs, you will take it out of it and since it is a - (-) it turns the 3 positive, however in absolute value form it is -3

Answer:

-3

Step-by-step explanation:

-l -3 l

-l 3 l

-3

hope this helps

Need some help on this

Answers

I believe you would subtract 64 from 180 (since it’s the measurement of the straight line) that would leave you with 116. From there you would divide that by 2 since it’s split in 1/2 which would leave you with 58. Therefore, the answer is x=58

How is 5,067,000 written in standard scientific notation?

Answers

Answer:

5.067e6

Step-by-step explanation:

Milk creamery charges $2 for a cup of ice cream and $0.75 for each topping (t) . Justin wants a cup of ice cream with for toppings

Answers

Answer:

$5

Step-by-step explanation:

$2 for cup

$0.75 per topping

4 toppings $0.75 a piece

4 × .75 = 3.00

$2 + $3 = $5

The expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.

Given that, Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t).

We need to find which expression best represents the situation, and how much will the ice cream cost Justin.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be addition, subtraction, multiplication, or division.

Now, the expression for the given situation is 2+0.75x

Justin wants a cup of ice cream with four toppings, so the cost of ice cream=2+0.75(4)=$5

Therefore, the expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.

To learn more about an expression visit:

https://brainly.com/question/28170201.

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Your question is incomplete, probably the complete question/missing part is:

Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t). Justin wants a cup of ice cream with four toppings. Which expression best represents the situation, and how much will the ice cream cost Justin?

9 in.
6 in.
the volume of the party
closest. In cubic inches

Answers

I think it’s 54








Good luckkk

I need help with this question. Also can you explain it to me? Thanks

Answers

Answer:

A: not a function

B: function

C: Not a function

D function

Step-by-step explanation:

A: doesn't pass vertical line test

B: No repeating x values, for every x-value there is only one y-value

C: X value has 2 y values

D: pass vertical line test

B is the midpoint of AC
А
B
If:
AB = 62 – 7 and
BC = 5x - 3
Find AC

Answers

Answer:

            AC = 110    

Step-by-step explanation:

B being the midpoint of AC means:

AB = BC = 0.5AC  

AB = 0.5AC  ⇒  AC = 2AB

AC = 2(62 - 7) = 2×55 = 110

solve quickly please

Answers

Answer:

44

Step-by-step explanation:

3x-5+x+1=180 [linear pair]

4x-4=180

4x=176

x=44

The sum of two numbers is 68. The larger number is 16 more than the smaller number. What are the numbers?

Answers

Answer:

x = 26

Step-by-step explanation:

68=x +(16+x) and if you plug in 26 it is 68

The three steps of the problem solving process are

Answers

Understand, implement, strategize

ockdown Learning Week 2 Higher
A and B are two cities.
b)
>
x В
واورأه
-os
D
Submit Answer
a) Measure the bearing of B from A.
AX
b) Measure the bearing of A from B.​

Answers

Answer:

A) measure the bearing of A from B

Help quick !! Will give brainliest

Answers

1. 5/6

2. 7/8

3. 1/2

4. 5/4

5. 4/5

6. 5/4

7. 11/12

8. 5/4

9. 11/12

10. 2/3

11. 13/20

12. 1/12

13. 7/22

14. 7/18

15. 2/3

16. 5/12

17. 5/12

18. 3/8

Express 7.4 x 102 in standard form.

MATH​

Answers

10^2 = 100

7.4 × 10^2 = 7.4 × 100 = 740

Answer: 740

4= -2(x-2) +4 please help I’ll give you points!







Answers

Solution:

4 = -2(x-2) + 4

or, 4 = -2x + 4 + 4

or, 4 = -2x + 8

or, 4 - 8 = -2x

or, -4 = -2x

or, -4/-2 = x

or, 2 = x

Answer:

The value of x is 2.

Answer:

x = 1

Step-by-step explanation:

4 = -2( x - 2) + 4

4 = -2x - (-2) +4

4 = -2x + 2 + 4

4 = -2x + 6

4 - 6 = -2

6 - 6 = 0

-2 = -2x

x = 1

hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do).  :)

4. A recipe for pasta dough says, "Use 150 grams of four per large egg."
a. How much flour is needed if 6 large eggs are used?
b. How many eggs are needed if 450 grams of flour are used?

Answers

Answer:

900 grams of flour 150x6=900

3 eggs 450/150=3

I need help ASAP PLEASE! WILL GIVE BRAINLIEST
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.

Answers

Answer:

true

Step-by-step explanation:

because no integers are irrational.

8hiobhjgjgjvygvm,dfndfjkgnvabjchdbsnfbhj

Answers

Answer:

d

Step-by-step explanation:

what is the value of the expression 4w+9 when w=5

Answers

Answer:

4(5) +9 =29. Hope this helped:)

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

First, input 5 instead of w:

4(5) + 9

Then, distribute (get rid of parentheses):

20 + 9

Finally, simplify (add):

The answer is 29

Hope this helps ^^

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