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

i don’t understand! help pleaze how do i find the side lengths??

Answers

Answer:

A

Step-by-step explanation:

cos x  = adjacent side / hypotenuse

cos 60 = 9√2/2  / x

1/2 = 9√2/2  / x

x = 9√2

tan x = opposite side / adjacent side

tan 60 = y /  9√2/2

√3 = 2y / 9√2

9√6 = 2y

y = 9√6/2

Can someone help me find x? it 15 points. i hope its enough..
4/5x + 9/10= 5 1/5

Answers

Step-by-step explanation:

Exact Form:

x = 43/8

Decimal Form:

x = 5.375

Mixed Number Form:

x =5 3/8

The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?

Answers

1040 - 650 = 390

By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.

I hope this helps! :)

Pls help me asap!! Only answer if u know the correct answer! Thanks! :)

Answers

The answer is 168 feet tall!

I hope this helps, please tell me of you want a step by step, I can give one. :)

Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.

Answers

Answer:

Our equation: y = 200x/3 + 100

Step-by-step explanation:

The trend line is linear.

y = mx + b

=> b = y-intercept = 100

=> m = slope = rise/run

=> 400/6 = 200/3

=> Slope = 200/3

Our equation: y = 200x/3 + 100

Hoped this helped.

A customer in a coffee shop purchases a blend of two coffees: Kenyan, costing $3.50 a pound, and Sri Lankan, costing $5.60 a pound. He buys 3 lb of the blend, which costs him $11.55. How many pounds of each kind went into the mixture

Answers

Answer:

10.55.

Step-by-step explanation:

no

and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

Answers

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

------------------------------

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]

encuentra el termino indicado de cada sucesion aritmetica #12avo termino de 2,4,6. #10mo termino de 1,-1-5. #8vo termino de -1,1,3​

Answers

Step-by-step explanation:

hope it will helps you my answer

Simplfy the answer t-4t2/t2

Answers

Answer:

t - 16

Step-by-step explanation:

Hope this helps!! :))

If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?​

Answers

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

What is the answer to 6m+2.3=-9.7

Answers

Answer:

m = [tex]\frac{37}{30}[/tex] or 1.23

Step-by-step explanation:

6m + 2.3 = 9.7

6m = 9.7 - 2.3

6m = 7.4

m = [tex]\frac{37}{30}[/tex] or 1.23

Add (8y - 2x) + (-4y - 3x)

A. 4y - 5x
B. -4y - x
C. -4y - 5x
D. -32y + 6x

Answers

Answer:

its none of these its -6x + 4y

Step-by-step explanation:

Answer:

A. 4y - 5x

Step-by-step explanation:

8y - 4y = 4y

-2x -3x = -5x

I hope this helps!

Calculate the arithmetic mean of the numbers.

-16, -9, and 4

Answers

Answer:

-7

Step-by-step explanation:

The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ - 7

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Numbers are,

⇒ - 16, - 9 and 4

Now, We can formulate;

The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ (- 16 + (- 9) + 4 ) / 3

⇒ (- 16 - 9 + 4) / 3

⇒ - 21 / 3

⇒ - 7

Thus, The arithmetic mean of the numbers - 16, - 9 and 4 is,

⇒ - 7

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SOMEONE PLEASE HELP‼️‼️‼️ ILL MARK BRAINLYEST PLEASE ‼️‼️
The length of the midsegment is _____ of the length of the base of the triangle.

A. 1/3
B. 1/4
C. 1/5
D. 1/2

Answers

Answer: 1/2

Step-by-step explanation:

No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!

Maybe 1/3 because a triangle has 3 sides?

Peter wrote five numbers . Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose all that apply .
Numbers : 56 52 42 35 27

And I’m serious . No LINKS

Answers

Answer:

56 42 35

Step-by-step explanation:

all numbers that are divisible by 7

56 is 7 groups of 8

42 is 7 groups of 6

35 is 7 groups of 5

i need help someone plzzz

Answers

Answer:

on what...like brush how do we help u if u don't have a question

PLEASE I NEED HELP!! Due TODAY!!!!! I need someone who is actually good at this!!

Answers

Answer:

#8= B

#6= C

#7= D

#9= C

#10= A

Step-by-step explanation:

[First one, aka #8] c

- subtract 7x from both sides

- divide by 5

- slope is m is y = mx + b

[Second one, aka #7] is d

- subtract 2x from both sides

- divide by 5

- find the negative reciprocal

[Third one, aka #6] is c

- will have a slope of 2 since it is parallel

- plug the point into y = 2x + b and solve for b

[Fourth one, aka #9] is a

- change in d over change in c

- 29 - 20 / 6 - 0 = 9/6 = 3/2

[Fifth one, aka #10] is b

- I created the system:

2h + m = 2.85

3h + 2m = 4.45

- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather



if the sum of two numbers is 15 and their difference is 7 what is the answer

Answers

the answer should 11 and 4. 11-4=7 but 11+4=15

Answer:

11 and 4 are the numbers you add to gether and they have a difference of 7

Step-by-step explanation:

Like and give 5 star rating

at breakfast yusef drinks 16 ounces of water

Answers

Answer:

Step-by-step explanation:

K, but what's the question?

____x0.01 = 180.4932
what's the answer?

Answers

18049.32

180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right

if a number became 2.5 times smaller, what precent was it decreased by

Answers

Answer:

25 percent because when you change it in percent it came25 percent

PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above, state the domain and range, then determine if the relation is a function.

Answers

not a function

because the income(x) cannot have multiple outcomes that are different

Answer:

Step-by-step explanation:

domain is x = input = {3, 6, 12, 18}

Range is y = output = {5, 7, 9, 10}

for x = 6 y has two values y = 5, 10

so it is not a function

Is the expression 32. 3-3 equivalent to 33.3-27 Explain.​

Answers

[tex]combine \: any \: like \: terms \: on \\ each \: side \: of \: the \: equation \: x - \\ terms \: with \: x - terms \: and \\ constant \: with \: constant.[/tex]

Hello there! :)

3-3 =0

33.3-27=6.3

So these two expressions are equivalent.

Expressions are equivalent (equal) when they equal the same number.

Example: 5*4 and 15+5 are equivalent.

Hope this helps!

Please mark brainliest!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex] here to help

-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=

Answers

Answer: (1,10)

Step-by-step explanation:

Assuming these are the correctly written equations:

-x + 5y = 49, and

x - 4y = -39

I'll rewrite them:

5y = x + 49

y = (1/5)x + (49/5)

-4y = -x -39

y = (1/4)x + (39/4)

=====

I'll assume the question is to find the point these two lines intersect (?).

See the attached graph.  They intersect at (1,10).

The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768

Answers

Answer:

See below

Step-by-step explanation:

The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.

The null hypothesis is rejected since the p-value shows that it is unlikely to be true.

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

As per the given question, the required solution would be as:

A) Hypothesis test :

The null and alternative hypothesis is

Hi : u = 98.6

Ha : u < 98.6

B) Test statistic is t = -3.831

C) sample size, n= 31

degree of freedom,

df = n -1 = 31 - 1 = 30

P-value = p(t < -3.831 )

= 0.0003 (from t table)

d) P-value < 0.10, reject the null hypothesis.

is, support

As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.

Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.

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What is the answer to the question below, I have been working on it for a while. Plz help!
The quotient of 10 times m and 7

Answers

Answer:

10m / 7

Step-by-step explanation:

times = multiplication of 10 and variable m

quotient of = division of 7

The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Answers

Answer:

the Answer is:

△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I got 100% on the quiz

The two triangles ΔPQR and ΔP'Q'R' are congruent.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.

In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.

Learn more about coordinates here:

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Write a formula for the volume V of a prism where B is the area of the base and h is height

Answers

Answer:

a pyramidal prism is 1/3 the volume of a similar rectangular prism of same base and height

so V=(1/3)bh

V=36

H=6

find area of base

36=(1/3)b6

36=2b

divide both sides by 2

18=b

the area of the base is 18 square units

Step-by-step explanation:

the answer is : V= B.h

A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.

Answers

The height of the bottom of the hole after the second day is -35 11/12 feet

Given:

Day 1 height = -45 1/4 feet

Day 2 height = -45 1/4 + 9 1/3

= - 181/4 + 28/3

= (-543 + 112) / 12

= -431/12

= -35 11/12 feet

Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet

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https://brainly.com/question/11871698

Someone please help with this math

Answers

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