Mathematics College

What is the distance, d, between the points (2,5/2) and (8/3,1)?

Enter your answer in the box. Enter your answer in simplest radical form.

Answers

Answer 1

Answer:

um 3 5/4

Step-by-step explanation:

Answer 2

The distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]

So, we will use the distance formula:

Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂).

Now Substitute:

D = √[(1 - (5/2))² + (8/3 - 2)²]

Evaluate the expressions within the parentheses;

D = √[(1 - (5/2))² + (8/3 - 2)²]

D = √[(-3/2)² + (2/3)²]

Evaluate:

D = √[9/4 + 4/9]

Square:

D = √97/6

Hence, the distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.

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Related Questions

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?

Linear equation:
1
2
(x - 3) = 9

Answers

Peter started with 21 cards
( also your bottom formula is wrong it should be 1/2(x-3)=9)

Tara baked 6 dozen cookies. She sold 3 dozen of the cookies she made. How many dozens of cookies does Tara have remaining?

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Answer:

Very very simple, 3 dozens of cookies are remaining

(36 cookies all together)

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B because it is the only one were the 'y-coordinate' is not the same for 2 different 'x-coordinates'

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Answer:

C

Step-by-step explanation:

THIS IS URGENTTDetermine whether each table represents a function. Select Function or Not a Function for each table.

Answers

Answer:

1st table: Not a function

2nd table: Function

3rd table: Not a function

4th table: Function

Step-by-step explanation:

The functions pass the verticle line test

meaning, there is only one x value for any y value

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Answer:

0.6 of a serving is 225

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Two real numbers are defined as x=0.555555555555555....
Y=0.4564556455564555..

Which is rational and which is irrational

Answers

Answer:

0.555555555555555 is a rational number

0.4564556455564555 is an irrational number

The linear function f(x) = 0.3x + 76 represents the average test score in your history class, where x is the number of the tests taken. Determine the test average for your history class after completing test 3.
A.
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B.
79.9

C.
76.3

D.
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Answers

Answer:C

Step-by-step explanation:

The answer is C. 76.3

Solve the inequality.
6t+7≥25

Answers

Subtract 7 from both sides. You get 6t is greater than or equal to 25. Divide both by 6. You get t is greater than or equal to 4.166666667. Which is 4 and 2/3.
4 2/3 is the correct answer

Could this set of ordered pairs have been generated by a linear function (-3,0),(-2,4),(-1,8),(0,12),(1,16),(2,20)

Answers

Answer:yes because the input and the output don’t repeat

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Each increment of 1 in x produces an increment of 4 in y. When the increments have the same ratio like that (4:1), the function is linear. The equation for it is ...

  y = 4x +12 . . . a linear function

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

Answers

Answer:y = mx + b

(–6) = (4)(–1) + b

–6 = –4 + b

–2 = b

Step-by-step explanation:

Your goal is to save $50. So far, you have saved $34. How much more money do you need to save? Write your answer as a rational number.

Answers

Answer:

You need to save $16 more dollars.

Step-by-step explanation:

If you add 16 to 34 you get 50.

Cuál es el 30% de 100.000?
Porfaaaaaa ayudenmeeeeeee

Answers

Answer:

30

Step-by-step explanation:

The cost of 0.75 pounds of bananas is $0.63. How much will one pound of bananas cost?

Answers

Answer:

The cost of one pound of bananas is $0.84.

HK bisects GHJ. Find GHK and KHJ. Angle JHG measures 161

Answers

Answer: m∠GHK=80.5,

m∠KHJ=80.5

Step-by-step explanation:

Answer:

I would say both GHK and JHK equal 80.5 degrees. (if it is allowed with decimals).  

Step-by-step explanation:

Bisectors are lines that basically cut an angle in half. Since JHG is the whole angle, the bisector, HK, halves it. So, both GHK and KHJ should be the same, since they both are half of the original angle. As a result, 161 divided by 2 is 80.5 degrees.

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ASAPPP

Answers

Answer:

Its the third option.

Step-by-step explanation:

No,  all points on the line are solutions of the equation.

Answer:

answer the last    yes because all the points meet

Step-by-step explanation:

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Answer:

A & B

Step-by-step explanation:

Find y, Help and get brainlist. ​

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Answer:

Step-by-step explanation:

Cheryl read for 30 minutes twice yesterday.Today she read for twice as long as she did yesterday.choose the expression that is a correct translation of the problem.

Answers

Answer:

(30x2)x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

O

i need help ASAP What is the slope of this line? Enter your answer as a fraction in simplest term in the box.

Answers

the slope would be 0. hope this is helpful!

Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. She would like her child care center to serve
29 children
(a) How many teachers will be needed?

Answers

Serena needs 4 teachers for the child care center.

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Answer: 1. True 2. False

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Taylor paid $8.10 for 3.6 pounds of apples what was the price per pound of apples

Answers

Answer:

2.25 per pound

Step-by-step explanation:

i took 8.10 divided by 3.6 to get the price per pound

(brainllist plz)) (if helped)

find the sum of (3a+7)+(a−1)

Answers

Answer:

[tex] \huge{ \bold{ \boxed{ \text{4a + 6}}}}[/tex]

Step-by-step explanation:

[tex] \text{ (3a + 7) + (a - 1)}[/tex]

In addition , sign of each term in the expression remains unchanged. So, Remove the unnecessary brackets.

[tex] \text{⇢ \: 3a + 7 + a - 1}[/tex]

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

[tex] \text{⇢ \: 3a + a + 7 - 1}[/tex]

[tex] \text{⇢ \boxed{ \text{4a + 6}}}[/tex]

And we're done! :D

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Best regards! :D

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Solve -8 =2(z-18) for z

Answers

Answer:

z=14

Step-by-step explanation:

-8=2(z-18)

  -8=2z-36

+36     +36

28=2z

28/2=14

z=14

Answer:

z=14. 2(14-18)=2(-4)=-8=-8

P.s.

please give me brainliest for my next rank

List the integers from least to greatest

{-6, -13, 0, 3, 5, - 7}

Answers

-13, -7, -6, 0, 3, 5

A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

Answers

Answer: 210

Step-by-step explanation:

Given: total locations = 7

Number of locations wishes to rank = 3

If order of selection matters, then the number of permutations of r things from n= [tex]\dfrac{n!}{(n-r)!}[/tex]

The number of ways to rank 3 locations out of 7 [tex]=\dfrac{7!}{(7-3)!}=7\times6\times5=210[/tex]

Hence, the number of different ways required = 210

Line M passes through points (4, 2) and (-7, 1) what is the slope of a line N that is parallel to line M

Answers

1/11 use rise Over run

The solution is :

We conclude that the slope of line 'n' is: m₂ = 10

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given

The slope of line m is: m₁ = 10

It is stated that another line is parallel to line m.

Let m₂ be the slope of the 'n' line.

We know that when two lines are parallel, they have equal slopes.

i.e.  m₁ = m₂

as

The slope of line m is: m₁ = 10

and

The lines are parallel

so

The slope of line 'n' is: m₂ = 10

Therefore, we conclude that the slope of line 'n' is: m₂ = 10.

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complet question:

Line m has a slope of 10. Another line n is parallel to line m. What is the slope of line n ?

Solve the equation
Y = -2(x+4) + 6 when x = -2 then use that value of y to evalute w = -3 - 2y

Answers

Answer:

12

Step-by-step explanation:

Plug in for x first:

Y = -2(x+4) +6

Y = -2((-2)+4) +6

Y = -4 + 6

Y = 2

Then use Y to find W;

W = -3 -2y

W = -3 - 2(2)

W = -3(-4)

W= 12

Answer:

y=8 and w=13

Step-by-step explanation:

y=-2(x+4)

-2x-2=4 sooo...

y=4+4

y=8

then plug 8 into the equation for w

w=-3-2y

then you would get

w=-3-16

-3-16

w=13

Which type of graph is useful for demonstrating how something changes or fluctuates in value over time?

Answers

Line graphs (or line charts) are best when you want to show how the value of something changes over time, or compare how several things change over time relative to each other. Whenever you hear that key phrase “over time,” that's your clue to consider using a line graph for your data.

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No nonetheless hdbsbbsn sushi’s Hans us she had
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