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]

Related Questions

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

Answers

Answer:

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]

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

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:

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)

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

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

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 .

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

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.

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.

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

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]

.this is all the question

Answers

Answer:

Answer: 2

Step-by-step explanation:

Help me please I need help

Answers

Answer:

a)25%

b)5%

Step-by-step explanation:

hope it will help goodbye

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

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

Answers

Answer: 12 cups

Step-by-step explanation:

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

Answers

Answer:

2/5 × 3/2

Step-by-step explanation:

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

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%.

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:

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:

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

answer FAST please and i will give brainliest

Answers

h^2 = a^2 -x^2

This is simply a rearranged version of Pythagoras’ theorem

Original price of coat: $100.00 Discount: 21%

Answers

Answer:

$79

Step-by-step explanation:

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

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

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

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

Answers

Answer:

Step-by-step explanation:

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

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

m=18/3

m=6

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]

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.

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