the endpoints of AB are 6 and 31. find the coordinates of the point P that partitions the segment in the ratio 3:2

Answers

Answer 1

The coordinates of point P on the number line are 16 or 21.

How to locate the point that partitions a line segment lying on a number line

In this question we find a line segment set on a number line and whose endpoints and segment ratio are known. Then, we can determine the location of the point P by using the line segment formula:

P(x) = A(x) + k · [B(x) - A(x)]

Where k is the partition ratio.

If we know that A(x) = 6, B(x) = 31 and k = 3 / 5, then the location of the point P is:

P(x) = 6 + (3 / 5) · (31 - 6)

P(x) = 6 + (3 / 5) · 25

P(x) = 6 + 15

P(x) = 21

P(x) = 6 + (2 / 5) · (31 - 6)

P(x) = 6 + (2 / 5) · 25

P(x) = 6 + 10

P(x) = 16

The coordinates of point P on the number line are 16 or 21.

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Related Questions

whats a equivalent expression for the square root of 13 x the square root of 13​

Answers

Answer:

[tex]2(13^{2})[/tex]

Step-by-step explanation:

[tex]13^2 + 13^2 = 13^2[/tex] x [tex]2 = 2(13^2)[/tex]

We can check the work.

[tex]13^2 +13^2= 169 + 169 = 338\\\\\\2(13^2)= 2(169)= 338[/tex]

a company charges $80 per day plus $0.30 per mile for truck rentals. If Greg rents a truck for 3 days and drives 200 miles, how much will the company charge?

Answers

80x3=240, .30x200= 60 so 60+240=$300

What is chicken nugget please

Answers

Answer: chicken

Step-by-step explanation: a chicken nugget is a very roasted chicken in certain part of the body to make a chicken nugget and then ya got yourself a chicken nugget.

Chicken nugget is different bodies of the chicken jammed in a tray.sence it taste bad the add fake flavors to it and then add some juice to make it taste good the they cook it and then u are it.

what are the missing lengths for the triangle 45 45 5v2

Answers

3.5355339 cm are the missing lengths for the right triangle.

What is right triangle ?

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs

n√2=5

n=5/√2

multiply both terms by √2

n=5√2/2, or...

n=2.5(1.4142136)

n=3.5355339 cm (round as needed)

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The complete question is -

The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.

Solve the equation for x.

27
(14 − 28x) = 20

Answers

Answer:

27 times (14 and 28)

378-756=20

-378=20

Put it (-378) on the other side

Your answer: 398

Thank you,daintysword

Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40

Answers

Answer:

is correct

x^3 -7x^2+2x +40

multiply the constants of the factors (each factor has opposite sign of the zero)

(x+2)(x-4)(x-5)   2(-4)(-5) = 40,  that eliminates all but c) and d)

(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5)   by using FOIL on the 1st two factors

then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)

-5 times -2x = 10x,  x times -8 = -8x.   10x-8x = 2x which c) has but d) doesn't.

Step-by-step explanation:

It takes you 53 seconds to walk from the first​ (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor​ (at the same​ pace, assuming all floors have the same​ height)?

Answers

The time it takes to walk from the first floor to the sixth floor​ is 132.5 seconds.

What is a division?

The division is a process of splitting a specific amount into equal parts.

We have,

To walk from the first floor to the third floor it takes 53 seconds.

From the first floor to the third floor there are two floors.

So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.

We have,

= 53 / 2

= 26.5 seconds

There are 5 floors from the first floor to the sixth floor.

So the time it takes to walk from the first floor to the sixth floor is:

= 26.5 x 5

= 132.5 seconds

We can also say that,

132.5 seconds = 2.20 minutes = 2 minutes 12 seconds

Thus the time it takes to walk from the first floor to the sixth floor​ is132.5 seconds.

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Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?

Answers

The initial amount that Taylor receive initially is $1500.

How to calculate the value?

Based on the information given, the following can be illustrated:

Interest = 1500

Time = 4 years

Rate = 2.5%

Principal = Unknown

Interest = PRT/100

1500 = (P × 4 × 2.5)/100

150000 = 10P

Divide

P = 150000/100

P = 1500

The initial amount is $1500.

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I need help with cumulative frequency pleaseee!!

Answers

The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.

The CFs for the given grade ranges are

• ≤ 49 :

9/67

• ≤ 59 :

9/67 + 10/67 = 19/67

• ≤ 69 :

9/67 + 10/67 + 10/67 = 29/67

• ≤ 79 :

9/67 + 10/67 + 10/67 + 14/67 = 43/67

• ≤ 89 :

9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67

• ≤ 100 :

9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1

Please help!! its appreciateddd hurry plssss

Answers

Using translation concepts, the graph of g(x) is given at the end of the answer.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Function f(x) is a concave up parabola with vertex at (1, -5). For the translation g(x) = f(x + 2), we have that the function is shifted two units left, as:

g(x) = f(x + 2) = (x + 2 - 1)² - 5 = (x + 1)² - 5.

Which is a concave up parabola with vertex at (-1, -5), and the graph is given at the end of the question.

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Answer: 15

Step-by-step explanation:

its 15 because 1+1 is 2 which is equal to 2 and u h... plus 10 is 12. 12+3 is 15. the answer is 15 because I like that number and iI'm typing random stuff right now, wondering if you'll log in to brai.nly again one day and just see this du mb message. anyway hi kin !

feb 23, 2023 :)

(13 + 7 ^ 2 / 7)/(9 - 20/4 - 16)

Answers

Answer:

-5/3

Step-by-step explanation:

= (13+7*7/7)/(9-20/4-16)

= (13+7)/(9-5-16)

= 20/(-12)

= -5/3

Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?

Answers

The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.

How to calculate the function?

Based on the information given, let the number of hours be represented by h

Therefore, the first function for Michael will be:

96 + 12h

The second function for Greg will be:

= 128 + 10h

Therefore, we'll equate both equations. This will be:

96 + 12h = 128 + 10h

12h - 10h = 128 - 96.

2h = 32.

h = 32/2

h = 16 hours.

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Compute the derivatives of the Michaelis Menten kinetics
V=Kx/kn + x
where K and kn are constants.

Answers

We get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.

We are given a function:

V = K x / k n + x

where K and k n are constants.

We need to find its derivative with respect to x

Derivative refers the rate of change of a function with respect to a variable.

Now differentiating with respect to x , we get that:

d V / d x = k / k n ( 1 ) + ( 1 )

d v / d x = k / k n + 1

Therefore, we get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.

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9 divided by 836 step by step

Answers

Answer: 92 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

836/9=

(800+36)/9=

800/9 + 36/9=

800/9 + 4 =

(792+8)/9 + 4=

792/9 + 8/9 + 4=

88 + 8/9 + 4=

88+4+8/9=92 [tex]\frac{8}{9}[/tex]

Plot the intercepts to graph the equation.
9x−4y=−36
Graph it

Answers

For the line 9x−4y=−36 we have:

x-intercept (-4, 0)

y-intercept (0, 9)

The graph of the line can be seen below.

How to graph the linear equation?

Here we have the linear equation:

9x - 4y = -36

First, the x-intercept is what we get when y = 0, then:

9x - 4*0 = -36

9x = - 36

x = -36/9 = -4

Then we have the point (-4, 0)

And the y-intercept is what we get when evaluate the variable x = 0, so:

9*0 - 4*y = -36

y = -36/-4 = 9

Then we have the point (0, 9)

Now just graph these two points, and connect them with a line, you will get the graph below.

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What is (-2/3)+(7/8)?

Answers

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=

[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=

[tex]\frac{-2*8+7*3}{24}[/tex]=

[tex]\frac{-16+21}{24}[/tex]=5/24

Finn completed 27 situps. Ellen completed 9 situps. Finn completed n more situps than Ellen. How would you determine this?

Answers

Finn completed 18 more situps than Ellen so N = 18. This is because 27 - 9 = 18. Hope this helped! :)

Answer: finn did 18 more situps than ellen

Step-by-step explanation:

1/(x+1) = -1/ x-1
true or false

Answers

Answer:

False

Step-by-step explanation:

it would be positive, not negative.

prove that the set of all xy=0 in R^n is not an open set

Answers

the set of all x y = 0 in R is not an open set.

x y = 0 in R is possible if

either x= 0y =0x = y = 0

So, the contains (0,0) , (0, any real number) ,...…..,

(any real number, 0) ,...…..

So, the set is not an open set.

Hence proved.

Therefore, the set of all x y = 0 in R is not an open set.

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1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation

Answers

Change in Rosa's elevation from starting to end of her hike is 692 feet.

What is elevation in a hike?

Elevation is the height of hiker above the sea level at any point of the hike.

At the starting of the hike , Rosa was at an elevation of = -600feet

At the ending of the hike, Rosa is at an elevation of  = 92 feet

Change in elevation = final elevation - initial elevation

                                 = 92-(-600) = 692 feet

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can someone answer this please

Answers

can someone answer this please. done





Which of the following is considered to have two dimensions?


Answers

Answer: objects that are flat plane figures that have two dimensions; length and width.

example: squares, circles, rectangles, and triangles are examples of two-dimensional objects.

Step-by-step explanation:

Hailey signed up for a streaming music service that costs $12 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1 per song. How much total money would Hailey have to pay in a month in which she downloaded 15 songs? How much would she have to pay if she downloaded ss songs?

Answers

12+15= 27
not sure what the ss is, if you could let me
know i could do that one too!

12 x (-2/3) =

A. 1/8
B. -8
C. 8
D. -1/8

Answers

Answer:

B.-8

= 12 * (-2/3)

= -24/3

= -8

On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?

Answers

Answer:

the answer is 136 miles

the answer is 136 miles.

Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?

Answers

Answer: 25 students

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

83 lollipops - the 8 remaining lollipops = 75 lollipops

75 lollipops ÷ 3 ( the amount he gave to each student) = 25

3 lollipops per person

3 * 25 people = 75 + 8 (remaining)

The table shows how long it takes for Building
Brothers to build and renovate homes. If the
company has been renovating homes for
16 years, how many homes has it renovated? Renovate a house: 8 months

Answers

Since Building Brothers have been renovating homes for 16 years, the number of homes renovated is 24.

How is the number of homes determined?

We can use mathematical operations of addition, subtraction, division, and/or multiplication to determine the missing value.

The first effort is converting 16 years into months.  The product is divided by 8 months to arrive at the quotient of 24 homes that were renovated within 16 years.

Data and Calculations:

Time period = 16 years

Time spent to renovate a house = 8 months

12 months = 1 year

Total number of months spent = 192 months (16 x 12)

The number of renovations = 24 (192/8)

Thus, Building Brothers have renovated 24 homes within 16 years.

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Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64

Answers

Answer: The 48 0z of jelly for 8.64

Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9

Answer:

48 Oz of jelly for $8.64

Step-by-step explanation:

16oz of jelly is $3.30 x 3 =$9.90

Idrk what to name this but- just only answer if you are sure

Answers

Answer:

Put it on calculator

Step-by-step explanation:

Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70

If you don't understand don't be shy to ask you should learn from your mistakes

Answer:

C. 70%

Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)

Find the sum of 0.55 and 0.41 i need help

Answers

The answer is 0.96 because you need to add them together
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