A line segment has endpoints (4, 7) and (1, 11). What is the length of the segment?

Answers

Answer 1

[tex]length = \sqrt{ ({11 - 7})^{2} + {(1 - 4})^{2} } \\ [/tex]

[tex]length = \sqrt{ ({4})^{2} + ({ - 3})^{2} } \\ [/tex]

[tex]length = \sqrt{16 + 9} [/tex]

[tex]length = \sqrt{25} [/tex]

[tex]length = 5[/tex]

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Related Questions

Convert to standard form:
-8x + 7y = 6 - 12x

Answers

Answer:

4x+7y = 6

Step-by-step explanation:

-8x + 7y = 6 - 12x

add 12x in both sides

4x+7y = 6

8 • 6 + ( 12 - 4 ) divided 2

Answers

Answer:

28

Hope this helps

In 2010, the average finishing time for marathons across the US was approximately 278 minutes, with a standard deviation of approximately 63 minutes. What finishing time defines the fastest 7.93% of runners?

Answers

Answer:

336 minutes

Step-by-step explanation:

Mean finishing time: 278 minutes

Standard Deviation: 63 minutes

Confidence interval: [278 - 63] , [278 + 63]  = [215 , 341] minutes

What finishing time defines the fastest 7.93% of runners?

This means the 7.93% of time closest to the upper limit of 341 minutes

341 - 215  ≡  63 × 2  = 126

7.93% of 126  = 0.0793 × 126  = 9.9918

341 - 9.9918 = 331.0082

Hence the finishing time that defines the fastest 7.93% of runners has an interval of [331 , 341] minutes with a mean or average of 336.0041 ≅ 336 minutes

Solve the equation for x.
3x + 11 – X + 23 = 4

Answers

Answer:

x = -15

Step-by-step explanation:

3×+34-×=4

2×+34=4

2×+34-34=4-34

2×=4-34

2×= -30

2×/2=-30/2

×= -15

s congruent to . If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x.

Answers

Given:

Consider angle S is congruent to angle U.

The angle S is (5x-11) degrees and angle U is (4x+9) degrees,

To find:

The value of x.

Solution:

Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.

[tex]m\angle S=m\angle U[/tex]

Put the given values.

[tex]5x-11=4x+9[/tex]

Subtract 4x from both sides.

[tex]5x-4x-11=9[/tex]

Add 11 on both sides.

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20.

Samuel needs 346 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel.
How many pieces of wood does Theresa need?
Samuel needs
pieces of wood. Theresa needs
pieces of wood.

Answers

Length of wood Samuel needs to build a fence = 346 feet

Length of each piece of wood = 15 feet

Number of wood pieces he will have with him :-

[tex] = \frac{346}{15} [/tex]

Samuel will need 23 pieces of wood .

Length of wood Theresa needs to build a fence :-

= 346 × 2

= 692 feet wood

Number of wood pieces Theresa will need :-

[tex] =\frac{692}{15} [/tex]

[tex] = 42 \: pieces \: of \: wood[/tex]

Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .

A pair of shoes regularly costs $65.00. I paid $58.50 for the shoes. What was the percent discount that I
received

Answers

Answer:

i think you received 7 percent discount

Answer:

Hi there

Your answer is

10% discount

Step-by-step explanation:

$65=100%

/65 to determine percent per 1$

1$= 1 & 7/13ths or 20/13ths

*58.5

58.5$ = 90%

Your received a 10% discount because 100-90=10

CHECK YOUR WORK

.1 * 65 = 6.5

65-6.5=58.5

Please answer this for me!!:)))) it’s due rn!!!! least to greatest question 7th grade

Answers

Answer:

1st 2nd 3rd

Step-by-step explanation:

Answer:

C, B, A

Step-by-step explanation:

Cs answer will be negative making it automatically the least

B when multiplied will equal 6/25. when you divide that you get 0.24

A you just multiply the 2 together to get 7.68

10 less than a number x

Answers

Answer:

x-10

Step-by-step explanation:

The correct answer is-10

In kidney transplantations, compatibility between donor and receiver depends on such factors as blood type and antigens. Suppose that for a randomly selected donor from a large national kidney registry, there is a 10% chance that he or she is compatible with a specific receiver. A sample of size 5 donors are randomly selected from this registry. Find the probability that exactly 2 of the selected donors is compatible.

Answers

Answer:

The probability is  [tex]P(X = 2)= 0.0729[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage that the donor is compactible is  p = 0.10

   The sample size is  n  =  5

   Generally the probability that the donor is not compactible is  

      [tex]q =  1- p[/tex]

=>    [tex]q =  1- 0.10 [/tex]

=>    [tex]q = 0.90 [/tex]

Generally the probability that the  exactly 2 of the selected donors is compatible mathematically represented as

    [tex]P(X = 2)= \  ^{5}C_2 *  p^2 *  q^{5-2}[/tex]

Here C standards for  combination

=>   [tex]P(X = 2)= \  10 *  0.10^2 *  0.90 ^{5-2}[/tex]

=>   [tex]P(X = 2)= 0.0729[/tex]

The ratio between the ages of Amar and Kabir is 3:4 at present.after 4 years ago their ages would be 7:9.ratio of ages of Kabir and amar after 20 years from now?​

Answers

Answer:

[tex]Ratio = 11:13[/tex]

Step-by-step explanation:

Represent Amar age with x

Represent Kabir age with y

So, we have:

Presently

[tex]x : y = 3 : 4[/tex]

After 4 years

[tex]x + 4 : y + 4 = 7 : 9[/tex]

Simplify both ratios:

[tex]x : y = 3 : 4[/tex]

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Cross Multiply

[tex]4x = 3y[/tex]

Make x the subject

[tex]x = \frac{3}{4}y[/tex]

[tex]x + 4 : y + 4 = 7 : 9[/tex]

[tex]\frac{x + 4}{y + 4} = \frac{7}{9}[/tex]

Cross Multiply

[tex]7(y+4) = 9(x+4)[/tex]

Open Brackets

[tex]7y + 28 = 9x + 36[/tex]

Collect Like Terms

[tex]9x = 7y + 28 - 36[/tex]

[tex]9x = 7y -8[/tex]

Substitute [tex]\frac{3}{4}y[/tex] for x in [tex]9x = 7y -8[/tex]

[tex]9(\frac{3}{4}y) = 7y - 8[/tex]

[tex]\frac{27}{4}y = 7y - 8[/tex]

[tex]6.75y = 7y - 8[/tex]

[tex]6.75y - 7y = - 8[/tex]

[tex]-0.25y = - 8[/tex]

[tex]y = -8/-0.25[/tex]

[tex]y = 32[/tex]

Substitute 32 for y in [tex]x = \frac{3}{4}y[/tex]

[tex]x = \frac{3}{4} * 32[/tex]

[tex]x = \frac{3* 32}{4}[/tex]

[tex]x = \frac{96}{4}[/tex]

[tex]x = 24[/tex]

So, in 20 years time, the ratio of the ages would be:

[tex]x + 20 : y + 20[/tex]

This gives

[tex]24 + 20 : 32 + 20[/tex]

[tex]44 : 52[/tex]

Divide by 4

[tex]44/4:52/4[/tex]

[tex]11:13[/tex]

Hence, the Ratio is

[tex]Ratio = 11:13[/tex]

Which is the smallest number 0.9, 0.899 , 0.0999, 0.909, 0.09 , 0.9009

Answers

Answer:

0.0999 hope it will help you

Convert the following into scientific notation:
70.2 = _____ x 10 ____

Answers

Answer:

7.02 x 10^1

Step-by-step explanation:

Answer:

7.02 * 10^1

Step-by-step explanation:

What is the answer for number 4

Answers

Answer:

x=-13

Step-by-step explanation:

All you have to do is divide 8 by both sides because you want to get x by itself.

For each equation below, determine if the given value is a solution or not. 12- x= x, x = 3

Answers

Answer:

no that is not a solution

Step-by-step explanation:

12-x=x or 12-3=3 is not a solution because the answer doesnt make the equation

please help me solve for the letter !!!!!!!!!!!!!!

Answers

Answer:

it may be 34 because the 34 to the second power is 68

Answer:

d = 2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

You want to solve for d by itself, so you must take the square root of both sides.

d = [tex]\sqrt{68}[/tex]

This can be simplified, since this square root has a perfect square inside. You take out the perfect square (which is 4) and end up with 2[tex]\sqrt{7}[/tex]

HELP PLZZZZ
THANK YOU SO MUCH FOR HELPING ME!!!!

Answers

f(1/2 pi) = 2
I don't entirely remember how to do the second one so hang on
f(x) = 0 when x = k (pi) ?
Range: [-2,2]
f(pi/2)=2
X=-2pi,-pi,0,pi,2pi
Range=-2,0,2

Find the circumference of a circle with a diameter of 6 yd. leave your answer in terms of pi.

Answers

Answer:

18.85yd I think am not sure

A chicken farm produces ideally 400,000 eggs per day but this total came very buy as many as 30,000 eggs what is the maximum and minimum expected production at the farm?

Answers

Answer:

400,000+30,000

430,000

400,000-30,000

370,000

Step-by-step explanation:

Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. What are the maximum and minimum amounts that Victor might have made last month?​

Answers

Answer:

maximum is 81.50

minimum is 68.50

Step-by-step explanation:

1m-751=6.50

m-75=6.50

m=81.50

/m-75=-6.5

m=68.50

The maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that Victor has a goal of making $75 per week at his after-school job. and Last month he was within $6.50 of his goal. Therefore, the maximum and minimum amounts that Victor might have made last month are,

Maximum and minimum amount = $75 ± $6.50

                                                      = $75+$6.50 , $75-$6.50

                                                      = $81.5 , $68.5

Hence, the maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.

Learn more about Addition here:

https://brainly.com/question/14092461

#SPJ2

A conjecture and the paragraph proof used to prove the conjecture are shown. 100 points please help

Answers

Answer:we USED

Step-by-step explanation:

please make me brainliest

Answer:

1- angle congruence postulate

2- definition of complementary

3- m<3

4- <3

Make a proportion for the following word problem and answer the question.A zippster car can travel 342 miles every 3 hours. How far can Michelle’s zippster car travel in 14 hours?FOR 25 POINTS

Answers

Answer:

  1596 miles

Step-by-step explanation:

A suitable proportion can be ...

  [tex]\dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}[/tex]

We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.

Michelle's car can travel 1596 miles in 14 hours.

2/3÷2 1/3= dividing fractions

Answers

Answer:

3/3

Step-by-step explanation:

3/3

3.5 or 3 1/2 just comment if you need to show work :)

Can anybody tell the answer of -12xy+4xy
Step By Step because I am really confused.

Answers

-12xy+4xy
Collect the like terms which means add negative 12 + positive 4 , then you get -8 and just add xy to the end because the like terms were collected. Your best bet is to try to create a number line and go off of that if you are still confused.

Help I need answers don’t know the answer

Answers

The answer for question 1 is -1/2

What is the value of n?

Answers

Answer:

A.  95°

Step-by-step explanation:

see attached

What % of 73 is eleven point one?

Answers

Answer:

15%

Step-by-step explanation:

11.1 / 73 = 0.152054~

That answer rounded to the nearest hundreth is 0.15 so it'd be 15%

A rental car agency charges a flat fee of $32.00 plus $3.00 per day to rent a certain car. Another agency charges a fee of $30.50 plus $3.25 per day to rent the same car.

Answers

Answer:

a rental car agency charges a flat rate fee of $32.00 plus $3.00 per day to rent a certain car

c = 32 + 3d

another agency charges a fee of $30.50 plus $3.25 per day to rent the same car

c = 30.50 + 3.25d

the number of days for which the cost are the same means

32 + 3d = 30.50 + 3.25d

by solving we find   d = 6 days

Jessica is on a the swim team. Each day she swims 8000m. Use the the fact to find how much this is in kilometers

Answers

Answer:

8 Kilometers

Step-by-step explanation:

1m=0.001km

   So...

8000m=8km

Answer:

0.8

Step-by-step explanation:

Jessica can swim a lap in  seconds

Converting it into decimals,

Means  seconds

Means Jessica can swim a lap in 29.4 seconds

Marta can swim a lap in 28.7 seconds.

So, Martha is faster than Jessica by  seconds

Use the diagram to complete the statements.
Segment AD must be congruent to segment
Segment BC must be congruent to segment


Answers

Answer:

dc   ,    ab

Step-by-step explanation:

on edge 2020

Answer:

Segment AD must be congruent to segment

✔ DC

.

Segment BC must be congruent to segment

✔ AB

.Step-by-step explanation:

correct on edge nov 2020

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