What is the length of the segment connecting the points A(1,3) and B(6,5)?

Answers

Answer 1

Answer:

The answer is

[tex]\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1,3) and B(6,5)

The length is

[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]

We have the final answer as

[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]

Hope this helps you


Related Questions

A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the function y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?

Answers

Answer:

domain all real numbers

range all real numbers

the cost of his monthly cable is $40.50 when you plug in 4

x - 4 = 9
Help please

Answers

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

which grows faster linear or exponential

Answers

exponential graphs grow faster

2 (4z-1)=3(z+2) simplify

Answers

Answer:

z=8/5

Step-by-step explanation:

2(4z-1)=3(z+2)

distribute the 2 and 3

8z-2=3z+6

move 2 to the other side by adding 2

8z=3z+8

move 3 to the other side by subtracting 3

5z=8

divide both sides by 5

z= 8/5

The equivalent value of the expression is z = 8/5 = 1.6

Given data ,

Let the equation be represented as A

Now , the value of A is

2 ( 4z - 1 ) = 3 ( z + 2 )

On simplifying the equation , we get

2 ( 4z - 1 ) = 3 ( z + 2 )

So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )

Opening the parenthesis on both sides , we get

2 ( 4z ) - 2 = 3z + 6

8z - 2 = 3z + 6

Subtracting 3z on both sides , we get

5z - 2 = 6

Adding 2 on both sides , we get

5z = 8

Divide by 5 on both sides , we get

z = 8/5

z = 1.6

Therefore , the value of z = 8/5 = 1.6

Hence , the expression is z = 8/5 = 1.6

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Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).

Answers

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

3(5x-2)=15x-6 is their a solution or no

Answers

Answer: 0 = 0

Step-by-step explanation: there is no solution  

PLEASE HELP! URGENT!

Answers

The answer is John spent 92 dollars

Simplify the expression (5)2.
O 25
O-10
0-25
O 10

Answers

The answer is 25
I hope I could help!

7.2 times 1/9 I need help!

Answers

Answer:

8/10

Step-by-step explanation:

Step 1:

7 2/10 × 1/9

Step 2:

72/10 × 1/9

Answer:

8/10

Hope This Helps :)

7.2 times 1/9 is 0.8

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

7.2 times 1/9

=7.2* 1/9

=72/10* 1/9

=8/10

=0.8

Hence, 7.2 times 1/9 is 0.8

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I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?

Answers

Right angles have a measure of 90 degrees
I’m assuming these two angles are complimentary (they add up to 90)

If one angle is 68, to find the other just subtract 68 from 90

90-68 = 22

The unknown angle is 22 degrees

is this the right andwer plz help i will mark you as brilliant​

Answers

Answer:

No the answer is 35! :)

Step-by-step explanation:

Answer:

The Answer is Thirty five

Step-by-step explanation:

So you would multiply five by seven and get Thirty Five

Four times a number
decreased by ten is 34.
Write an equation & solve.

Answers

4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11

JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.

Answers

Answer:

KL= 63

Step-by-step explanation:

JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)

*J_______________________K___________________________L

JL=JK+KL

114=7x+9+9x+9

114-18=16 x

16x=98

x=98/16=6

KL= 9x+9

KL=9(6)+9

KL= 63

7/20 write the decimal from of each rational number and determine

Answers

Answer:

0.35

Step-by-step explanation:

Step 1:

7/20 = 35/100

Step 2:

35 ÷ 100

Answer:

0.35

Hope This Helps :)

Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.

Answers

Answer:

           BC = 29

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.

Answers

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

[tex]6 \times 38 + 6 \times c = 354[/tex]

Taking 6 as common,

[tex]6(38 + c) = 354[/tex]

Dividing 6 from both sides,

[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]

[tex]38 + c = 59[/tex]

Solving further,

[tex]38 + c - 38 = 59 - 38[/tex]

[tex]c = 21[/tex]

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

The teacher spent  $21 on each microphone.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total amount of teachers have = $354

Cost of costume for all 6 members ;

6 × 38 = $228

Cost of microphone for all 6 members ;

6 × c = 6c

Now,

Cost of microphone  + Cost of costume =  total amount

6c + 228 = 354

6c = 126

c = 21

Hence "The teacher spent  $21 on each microphone".

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A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

d) 360

Step-by-step explanation:

Answer: D. R0, 360°

Step-by-step explanation: RIGHT ON EDGE 2023

-1 +(-3) is units from -1 in the direction

Answers

Answer:

-4

Step-by-step explanation:

It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!

Answers

Answer: It would cost $9.45

$28.20/188= .15

then .15 times 63=9.45

please tell me y what 6(2y−9)=-42

Answers

Answer:

y =1

Step-by-step explanation:

6(2y−9)=-42

Divide each side by 6

6/6(2y−9)=-42/6

2y -9 = -7

Add 9 to each side

2y -9+9 = -7+9

2y =2

Divide by 2

2y/2 = 2/2

y =1

Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2​

Answers

Step-by-step explanation:

7+6x5-2

First we eliminate.

It isn't A. because they didn't use order of ops.

It isn't B. because they added 6 and 5 instead of multiplying.

Now, we simplify.

7+(6x5)-2

7+30-2

37-2

35

hope it helps!

Solve for a.
ab + c = d.

Answers

Answer:

a = [tex]\frac{d - c}{b}[/tex]

Step-by-step explanation:

ab + c = d

     - c        - c

ab = d - c

divide both sides by b

a = [tex]\frac{d - c}{b}[/tex]

I hope this helps!!

Answer:

a=d-c/b

Step-by-step explanation:

ab+c=d

ab=d-c

a=d-c/b

Please help me
I need to submit it now!!

Answers

Answer:

Alicia is right, 11 is the answer

Step-by-step explanation:

ItS EaSy

Answer:

it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅

Please answer this question! it's due in a few hours if you don't mind!

Answers

Answer: 45 Seconds

Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.

Hope this helped!

The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?

Answers

Answer:

She can make 20 baskets in 5 hours

The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours. Which car has faster rate?

Answers

Answer:

The Ford Mustang can travel at a faster rate.

Step-by-step explanation:

160/2 = 80/1   miles/hour -Ford Mustang

210/3 = 70/1    miles/hour - Toyota Corolla

Combining Like Terms

Equation: 5x + 7y -2x + 3y

So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer

Answers

it would be a + because the 7 in 7y is positive, therefore it would be added to the X’s. if it was -7y, then the underline would be a –.

Simplify the following: (-83)2​

Answers

The answer is -166, your welcome

5 and 3/4 divided by 1 and 1/2

Answers

Answer:Exact Form:

23/6

Decimal Form:

3.83

Mixed Number Form:

3 5/6

What is 6x - 2 if x = 5

Answers

Replace x with 5 so
6 (5) -2
30-2
28

Answer:

28

Step-by-step explanation:

6x = 6 x 5 because x = 5.

6 x 5 = 30

30 - 2 = 28

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