Who wants to help with a math discussion?

The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.

Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?

Answers

Answer 1

The distance between two points is the number of units between them.

Halfway points (a) and (b)

To locate a point halfway points (a) and (b), we use the following steps

Calculate the absolute difference between both pointsDivide the absolute difference by 2Add the quotient to the smaller point.

Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be

[tex]P = a + \frac{|a - b|}{2}[/tex]

Take for instance, a = 5, and b = 10.

The halfway point would be:

[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]

[tex]P = 5 + \frac{5}{2}[/tex]

[tex]P = 5 + 2.5[/tex]

[tex]P = 7.5[/tex]

The halfway point between 5 and 10 is 7.5

The formula works for negative values, and absolute values are used to return the actual difference between both points

Real world circumstance

The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

https://brainly.com/question/9935574


Related Questions

Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x

Answers

Answer:x = 18Introduction:

We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.

Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:

Therefore, we can conclude that x = 18.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]\\ \tt\Rrightarrow 7x-1=125[/tex]

[tex]\\ \tt\Rrightarrow 7x=125+1[/tex]

[tex]\\ \tt\Rrightarrow 7x=126[/tex]

[tex]\\ \tt\Rrightarrow x=126/7[/tex]

[tex]\\ \tt\Rrightarrow x=18[/tex]

A pair of parallel lines is cut by a transversal:

A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.

What is the measure of angle x?

10 degrees
15 degrees
45 degrees
60 degrees

Answers

Answer:

i wish i could help but i'm trynna figure that out myself

Step-by-step explanation:

Answer:

im pretty sure it might be 50

Step-by-step explanation:

Help meee please thank you will mark brainlist….

Answers

Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

Evaluate.

[2−∣∣−14−2(−35)∣∣]÷(−6)

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

-7/40

/////

I honestly didn't know how to do this one. But thats the correct answer.

The solution of the mathematical expressions will be 0.175.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Now,

Solve the mathematical expression as;

⇒  [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Using the BODMAS rule to solve the expressions as;

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6

⇒ [ 2 - 19/20 ] ÷ -6

⇒  [ 21/20] ÷ -6

⇒ 21/20 x 1/-6

⇒ - 7 / 40

Therefore,

The solution of the mathematical expressions will be 0.175.

Learn more about the mathematical expression visit:

brainly.com/question/2164351

#SPJ5

which multipilcation expression is equal to 2 over 5 divided by 2 over 3

Answers

Answer:

2/5 × 3/2

Step-by-step explanation:

Slope= -1/2 Y-intercept =4

Answers

Answer:

no I'm pretty sure it's wrong

Step-by-step explanation:

the y intercept for that to right us -4

x+y=5
x-1=y
Please help

Answers

This is a simultaneous equation

Rearrange the second to give

x - y = 1

Add the two equations

(x + y) + (x - y) = 5 + 1

2x = 6
x=3

Substitute 3 into either equation

3 - 1 = y

y = 2

What is 2log5(5x^3)+1/3log5(x^2+6)

Answers

Answer:

Ill help you if you come help me with mine c:

Step-by-step explanation:

here is mine:

The values of f(x) and g(x) are shown for selected values of x in the table below.

x f(x) g(x)

0 0 1

1 3 2

2 6 4

3 9 8

4 12 16

Of these two functions, one is exponential and the other is linear. Determine which of the functions is linear, and explain why this must be the case.

Please I really really do need help like now please and thank you

Answers

Perimeter is the total of all the sides.
6+8+12+10+6+4+10=56

you need to prepare 50 portions of broccoli flowers. A prepared portion weighs 0.090kg. Trimmings account for 25% of the total weight. How much broccoli do you need to order ?

Answers

The amount of broccoli needed to be ordered to prepare 50 portion of broccoli flower is 3.375 kg.

You need to prepare 50 portions of broccoli flowers.

A prepared portion weighs 0.090 kg.

Trimming accounts for 25% of the total weight.

Therefore, to find how much broccoli is needed to order can be calculated as follows:

Trimming account for 25% of 0.090  = 0.0225 kg The remaining weight(broccoli) required  = 0.090 - 0.0225 = 0.0675 kg

Therefore,

the broccoli needed to be ordered = 0.0675 × 50 = 3.375 kg

learn more on percentage here: https://brainly.com/question/25304304?referrer=searchResults

answer FAST please and i will give brainliest

Answers

h^2 = a^2 -x^2

This is simply a rearranged version of Pythagoras’ theorem

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A student answered 5 questions incorrectly. How many points did the student lose?

Answers:
A. 15 Points.
B. -15 Points.
C. -5 Points.
D. 8 Points.

Answers

Answer:

C. -5

Step-by-step explanation:

20 x 3 = 60

5 x 1 = 5

60 - 5 = 55

Plc help! Factor completely 2a^3b-ab^3-1 2/3ab^3-a^3b-4 1/2a^2b-1/2a^2b

Answers

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

John borrowed $5,000 from his parents to buy a car. He made a one-time payment of $1,500 and then he is going to pay his mother $250 each month. How long will it take for him to pay off the car?

Answers

Answer:

14 months

Step-by-step explanation:

5000=1,500+250m

m=months

5000-1500= 3500

3500=250m

3500÷250=14

14=m

Answer:

14 months

Step-by-step explanation:

He already payed $1,500 of the $5,000 payment.

$5,000 - $1,500

So that means he has $3,500 left to pay.

If he is going to pay $250 per month.

Then do $3,500 divided by $250.

$3,500 ÷ $250

Which is 14 months.

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

it’s the y=mx+b so it’ll be m= 1 over 5 basically m equals 1/5

Answer:

1/5 so the first option

Step-by-step explanation:

slope

(y2-y1)/(x2-x1)

what is the slope of a line that passes through (2,11) and (5,29)?​

Answers

Answer:

6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(29-11)/(5-2)

m=18/3

m=6

Determine the sign of the trigonometric values listed below.
(i) sin 250°
(ii) tan 330°
(iii) cos(-40°)

Answers

Answer:

(i) sin 250°: negative

(ii) tan 330°: negative

(iii) cos(-40°): positive

Step-by-step explanation:

I need help! please! Ill give brainiest

Answers

I  don't agree   with Cameron

The relation { (1,2), (1,3) }  has the domain {1} and range {2,3}.

The domain describes the list of x coordinates of the relation, while the range is the set of y coordinates. While we don't have a function, this is a relation.

Original price of coat: $100.00 Discount: 21%

Answers

Answer:

$79

Step-by-step explanation:

Please help me with percentages.

Answers

If there were no tip, each person would have to pay $5. They pay this much because if the bill is $50 and there are 10 people, would would calculate by 50 divided by 10 which would equal 5 so 10 people pay $5 dollars. The total would be $50.

Answer:

I think the answer would be 10%.

Help me please I need help

Answers

Answer:

a)25%

b)5%

Step-by-step explanation:

hope it will help goodbye

What is the hardest metal
if you get it right I'll give you brainliest

Answers

Answer:

is tungtset i tink not sure bout

Step-by-step explanation:

mark me brainlest plz

How many 4th cups of flour are in 3 3/4 cups

Answers

Answer: 12 cups

Step-by-step explanation:

.this is all the question ​

Answers

Answer:

Answer: 2

Step-by-step explanation:

What is the mean of 9, 8, -15 and -12?

The Mean is:

Answers

Answer:

-2.5

Step-by-step explanation:

add all the values and divide by the no of values present

Xavier's living room is rectangular and measures 3 meters by 3 meters. Beginning in one
corner, Xavier walks the length of his living room and then turns and walks the width. Finally,
Xavier walks back to the corner he started in. How far has he walked? If necessary, round to
the nearest tenth.

Answers

the answer is most likely 12 .

Which is an equivalent ratio of yellow cans to blue cans?

10:12

30:25

18:16

5:6

Answers

Answer: 30:25

Step-by-step explanation:

notice how there are 6 yellow and 5 blue

so if we multiply both by 5 then we get

30:25

30:25 because there’s 6 blue cans and 5 yellow cans which means that you do 6x5 and 5x5

PLEASE SOLVE ALL W STEPS WORTH 30 PTS

Answers

Answer:

Step-by-step explanation:

I'll leave you to round

7.)

x= amount invested at time 0

[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]

8.)

[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]

8b.)

In the first investment we had a yield of: 25000-7091.35=17908.65

In the second investment we had a yield of: 35510.5948-7091.35=28419.24

While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate

A car travels 286 km in three hours with a constant speed. How far can It travel in four hours with the same speed?

Answers

Answer:

381.(3) [km.]

Step-by-step explanation:

if according to the condition distance=286 [km] per 3 hours, then it is possible to make up the equation:

[tex]\frac{286}{3}=\frac{d}{4};[/tex]

and to calculate required distance 'd':

[tex]d=\frac{286*4}{3}=381.(3)[km].[/tex]

What is the value of the expression when h = 5? h + 7

Answers

Answer:

12

Step-by-step explanation:

if h=5

then h+7 = 5+7 = 12

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]

Other Questions
please help me Simplify (4m3)2. Staff with black note with stem in the third space from the bottom.What is the name of the note on the staff? E C B D The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 feet, what are the lengths of the three sides? Community healthcare clinics often receive some level of government funding, so in many cases, they can __________. A. Purchase expensive medical equipment B. Offer financial assistance to low-income patients C. Hire hundreds of doctors D. Pay for more students to become doctors Please select the best answer from the choices provided. A B C D. What is the name of the rabbit in frosty the snowman? Which questions should Robert ask himself before investing the $10,000 he inherited? Select four options.How am I protected as an investor? Are my friends investing in a similar way? What guarantees are in place so I make money? What taxes will I have to pay on this investment?How do the risks compare to the potential gains? What are the chances that the investment will fail? help me plssssssssssss The period of experimenting with different roles that is so common during adolescence is referred to as the _____ period. In Chapter 2 What is brians Internal conflict and external conflict in addition to good design sense, what else do web designers need to be proficient in? factorize completly Mn + np + or + rt I actually need help please help quickly Describe the function of the denticulate ligaments? A heavy crate is pushed across a floor at a constant velocity. Friction is present between the crate and floor. During this motion, the force of friction is _?_ the force pushing the crate forward.Question 3 options:less than greater thanequal to change the following sentence into a strong thesis statement;Portecting the environment is important. Insert two rational number between 1.3 bar and 1.4 bar Lumber pieces that are 1 1/2 inches thick are being piled in the bed of a truck. The bed rests at a height of 36 inches and the crew has been instructed to make sure the height of the pieces above the ground does not exceed 7 feet. What is the greatest number of pieces of lumber that can be placed in a stack ? can someone please answer can anyone help me please? i have 14 more minutes to finish this can anyone help? Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.He will take the paper and make booklets. Each booklet will use 8 sheets ofpaper What is the greatest number of booklets Jacob can make with thisamount of paper?A 262B. 125C 1,008D. 575 How long does it take for sunlight to reach earth? Show Work!