Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment ​AB¯¯¯¯¯​ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer 1

Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A


Related Questions

Simplify the expression: – 9k2+6k2–7k2–5k2+ – 8k2+ – 2k2

Answers

Step-by-step explanation:

I guess, this expression really is

-9k² + 6k² - 7k² - 5k² + -8k² + -2k²

remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.

all the terms in this expression are about k². so we can combine them all

k² × (-9 + 6 - 7 - 5 - 8 - 2) =

k² × -25 or simply -25k²

always also remember the rules of combining signs and operations :

++ = +

+- = -

-+ = -

-- = +

This is what I need the answer for please help much appreciated if done so

Answers

Answer:

12a^9b^7

Step-by-step explanation:

Answer

12a^9b^7

Step-by-step explanation:

4x3=12

add the indices

3+6=9

2+5=7

12a^9b^7

can someone help me peaseeeee

Answers

Is this the whole question? It’s rather confusing how they put it together.

If you the numbers 2 and 2, what will the final sum be

Answers

It would be 4 because you add 2 and 2 and you will get 4

Write the number 0.000 000 7 in standard form.

Answers

It is 0.101 explanation
7times 10 to the power of 6

Linear or nonlinear:
why?

Answers

non-linear because for each value of x you have more than one value of y.

Answer:

nonlinear

Step-by-step explanation:

it is basically the opposite of linear graph

This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line

can someone help me with this please:) ​

Answers

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

Imma need a really quick answer im on a real tight clock

Answers

Answer:

Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck

Step-by-step explanation:

Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -

Answers

Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.

Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...

Answers

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0


There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?

Answers

50 x .14 = 7 students absent
50 - 7 = 43 students present

43 is the number of students were present in that class on Monday

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

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the total cost of five equally priced dvd's is $55 how much does each dvd cost?

Answers

Answer: x=45/3

Step-by-step explanation:

11 dollars
11x5=$55

Select the correct domain of the function represented by the graph.

Answers

A is the correct answer.

Given trapezoid​ WXYZ, what is​ XY?

Answers

Step-by-step explanation:

X is the mulplied

Y is the pronouns

If for evry 15 there is 25 what is the number for just 5

Answers

Answer:

I think it may be 8.3.

Step-by-step explanation:

15 = 25

15÷3=25

25÷3=8.3333333

Round it to 1 decimal place and you get 8.3

Complete the inequality statement.

1 1/2 ft ___ 16 in.

A. >

B. <

C. =

Answers

Answer:

a.>

Step-by-step explanation:

because :-

11/2 ft= 5.5 ft

5.5ft =66 in so 66in>16in

What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)

Group of answer choices

−3

3

6

9

Answers

Answer:

9

Step-by-step explanation:

use half the x coefficent and square it

x^2 − 6x + (-3)^2 = 10 + (-3)^2

x^2 - 6x + 9 = 10 + 9

(x - 3)^2 = 19

4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.

Answers

Answer: 7, 56

Step-by-step explanation:

The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.

WILL MARK AS BRAINLIEST

Answers

i think it’s 60, if i’m wrong sorry

Help me please i beg you please

Answers

Using Pythagorean theorem

[tex]\\ \sf\longmapsto x^2=26^2-10^2[/tex]

[tex]\\ \sf\longmapsto x^2=676-100[/tex]

[tex]\\ \sf\longmapsto x^2=576[/tex]

[tex]\\ \sf\longmapsto x=24ft[/tex]

Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm

Answers

Answer: The radius increases by 0.032 cm/minute.

Step-by-step explanation:

The volume, V, of a sphere is V = (4/3)πr^3.

For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10

V = (4/3)πr^3

V = (4/3)π5^3

V = 524 cc

We add 10 cc to have the balloon hold 544 cc.  We calculate the increase in radius:

534=(4/3)*pi*x^3

We can now calculate the new radius, x.

x = 5.032 cm

The radius increased by 0.032 cm/minute.

Find the quotient. 4/12÷4/12=​

Answers

Answer:

1

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Sketch the graph of a 4th degree polynomial function f(x) such that f(- 3) = 0, f(- 1) = 0, f(1) = 0 , and f(3) = 0 and f(x) is increasing at extreme left.​

Answers

Answer:

  see attached

Step-by-step explanation:

For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...

  f(x) = -(x +3)(x +1)(x -1)(x -3)

__

The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.

Simplify 3 (x - 5) by distributing.​

Answers

Answer:

3x - 5

Step-by-step explanation:

Pls someone help asap! Only answer if you know the correct answer thanks!

Answers

Answer:

xx

Step-by-step explanation:

A 135-page notebook has 33 writing lines on each page. What is the total number of writing lines in the entire notebook

Answers

Answer:

4455

Step-by-step explanation:

135 pages x 33 lines a page = 4455 lines.

Geometry hw help please.

Answers

Answer:

6

Step-by-step explanation:

You can solve this using Pythagorean Theorem;

a² + b² = c²

c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.

a and b values can be the other 2 legs, doesn’t matter which one is which

we are given;

a = 8

c = 10

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64

b² = 36

√b² = √36

b = 6

Therefore the answer = 6

Hope this helps!

Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?

Answers

Answer:

2 wings/dollar

Step-by-step explanation:

The unit cost is $4 / 8 wings, or $0.50/wing.  This is equivalent to 2 wings/dollar.

PLEASE HELP ME WITH THIS QUESTION!!

A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?

Answers

Answer:

7

Step-by-step explanation:

On a military clock the difference between a number and it's opposite is always 12

19 - x = 12

19 - 12 = x

7 = x

The number directly across from 19 on a military clock is 17.

How to determine the number directly across from 19 on a military

To find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.

12 - 19 = -7

Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.

-7 + 24 = 17

Therefore, the number directly across from 19 on a military clock is 17.

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PLS HELP !!!

A bus journey from a town to a city
takes 2 hour 38 minutes.
complete the timetable opposite below

TIMETABLE: (I tried to type it)
Depart : Arrive :
a) 05 00 ______
b) 07 20 ______
c) _____ 11 18
d) _____ 13 36
e) 15 45 _____
f) 18 22 _____
g) _____ 21 17
h) _____ 23 25

I'll mark as branliest if u answer :))

Answers

Step-by-step explanation:

I guess we only need to add 2 hours and 38 minutes to the depart times to get arrival, and deduct 2 hours and 38 minutes from arrival to get departure.

a) 05 00 -> 07 38

b) 07 20 -> 09 58

c) 08 40 -> 11 18

d) 10 58 -> 13 36

e) 15 45 -> 18 23

f) 18 22 -> 21 00

g) 18 39 -> 21 17

h) 20 47 -> 23 25

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