Find the point P along the directed line segment from point A(–13, 6) to point B(2, 20) that divides the segment in the ratio 2 to 3.

Answers

Answer 1

Answer:

(-4, 14.4)

Step-by-step explanation:

The midpoint formula is expressed as;

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

Get X;

X = ax1+bx2/a+b

X = -13(2)+ 2(3)/2+3

X = -26+6/5

X = -20/5

X = -4

Get Y:

Y =ay1+by2/a+b

Y = 2(6)+3(20)/2+3

Y = 12+60/5

Y = 72/5

Y = 14.4

Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is

(-4, 14.4)


Related Questions

plsss help me.................

Answers

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

2) Find the median.
4,9, 1, 4, 6, 2, 3,1
A) 1 and 4
B) 3.5
C) 3.75
D) 8
pls help me show work

Answers

Answer:

3.5

Step-by-step explanation:

1-List the numbers from least to greatest

1, 1, 2, 3, 4, 4, 6, 9

2- Then cross off a number from each side unitl you ar with 3 and 4 in the middle.

3- Add 3+4 Together

7

4- Divide by two

3.5

solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]

Answers

Answer:

I hope this helps you :)

Answer:

2x+3y=9

2x+2-3y+1=8

2x-3y=8

2x-3y+3y=8+3y

2x=8+3y

2x=8+3y

2      2

x=8+3y

    2

2(x) +3y=9

2* (8+3y)/2 +3y=9

(16+6y)/2)+3y=9

2*(16+6y)/2)+3y=9

16+6y+6y=18

6y+6y=18-16

12y=2

12y = 2

12      12

y=2

  12

y=0.16666666666667

2x+3 (0.16666666666667)=9

2x+0.5=9

2x=9-0.5

2x=8.5

2x = 8.5

2       2

x=8.5

    2

x=4.25

40 to a ratio of 2:3

Answers

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

- 16 = -4(-5+ i)
Please help i can’t fail this test

Answers

Answer: i=9

Step-by-step explanation:

-16=-4(-5+i)

-16=20-4i

-20 -20

-36=-4i

Divide by -4

i=9

Answer:

i=9

Step-by-step explanation:

-16=-4( -5 +i)

-16= 20 -4i

-20      -20

_____________

-36=-4i

-36/-4 = 9

i= 9

Hope this Helps! Good luck at your test!

Convert 121

5

to mixed fraction.​

Answers

Answer:

24 1/5

Step-by-step explanation:

I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction

24 1/5

ill mark brainlist plss help

Answers

Answer:

5.86

Step-by-step explanation:

1 gram = 100 centigrams

The correct answer is : 5.86

Need help with this;

Answers

Answer:

See below

Step-by-step explanation:

Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per year

Calculations as per following questions

a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $147

Sandy pays $120 for 4 violin lessons. How much does she pay for 8 violin lessons?

Answers

Answer:

$240

Step-by-step explanation:

120x2

Answer:

240

Step-by-step explanation:

120x2= 240

or

120+120=240

at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?

Answers

Answer:

Step-by-step explanation:

250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM


Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores

Answers

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Find the volume of the cone. Round your answer to the nearest tenth.

The volume of the cone is about ____ cubic inches.

Answers

It would be 16.75 cubic inches
The formula is 1/3(3.14)(r^2)(h)
1/3(3.14)(2^2)(4)

Elizabeth invests $7567 in a savings account with a fixed annual interest rate of 5% compounded quarterly. What will the account balance be after 7 years?

Answers

Answer:

FV= $10,714.81

Step-by-step explanation:

Giving the following information:

Initial investment= $7,567

Number of periods= 7*4 = 28 quarters

Interest rate= 0.05/4= 0.0125

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 7,567*(1.0125^28)

FV= $10,714.81

Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his score in the second innings?

Answers

Answer:

60 runs

Step-by-step explanation:

Given that:

Score in first innings = 30 runs

Change in score during second inning = + 30

The score in the second inning will be :

Score in first inning + change in score during second inning

30 + (+30)

30 + 30

= 60 runs

What is the answer I need help please

Answers

Answer:

7 rides

Step-by-step explanation:

38 - 10 (entrance fee) = $28 to spend on rides

if it's $4 per ride, we can divide the remaining money ($28) by the cost of each ride ($4)

28 / 4 = 7

Therefore, she can ride 7 rides

7 walks and a ticket

I'm from Mexico

please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option D is your answer ☺️☺️☺️

Find the perimeter of the rectangle in yards.

Answers

The perimeter is 288 yards

Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
17, 7, 13, 17, 7, 9, 10
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

11

Step-by-step explanation:

Answer:

11.4  (This is already rounded to the nearest tenth)

Step-by-step explanation

1.) Add all of them

17+7+13+17+7+9+10=80

2.) Divide the sum by how many numbers there are

In this case, there are 7, so 80/7 is 11.42...

3.) Get the answer

80.7 simplifies into 11.42 so rounded to the nearest 10th is 11.4.

Hope this helped. Good luck on your homework!

Major arc CBD measures 300 degrees. Which is the radian measure of its corresponding central angle? O 4 pie/3 O 5 pie/6 O 5 pie/3 O 11 pie/6

Answers

Answer:

[tex]\dfrac{5\pi}{3}[/tex]

Step-by-step explanation:

Given that,

Major arc CBD measures 300 degrees.

We need to find the radian measure of its corresponding central angle.

Radian measure is given by :

[tex]R=\dfrac{\pi}{180}\times d\\\\R=\dfrac{\pi}{180}\times 300\\\\R=\dfrac{5\pi}{3}[/tex]

So, the radian measure is [tex]\dfrac{5\pi}{3}[/tex].

Which of the following is a Prime Number? 9, 5,4 ​

Answers

Answer:

5

Step-by-step explanation:

9 = 1,3,9

5 = 1,5

4 = 1,2,4

Answer: 5

Explanation: 5 has only two factors they are 1 and 5 this makes it a prime number

I would appreciate brainliest if this was helpful and correct! :)

5.
Find the rate of change for the situation. You run 3 miles in one hour and 6 miles in two hours.


A. 3 miles

B. 3 miles per hour

C. 2 hours

D. 2 miles per hour

Answers

Answer:

c

Step-by-step explanation:

c

The momentum of a variable is represented by the rate of change. The rate of change for the situation is 3 miles per hour.

What is the rate of change?

The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.

Given the distance covered in one hour is 3 miles, while the distance covered in 2 hours is 6 miles. In the given case, the rate of change for the situation, therefore,

Rate of change = (6miles-3miles)/(2hours-1hour) = 3miles/hour.

Hence, the rate of change for the situation is 3 miles per hour.

Learn more about Rate of Change:

https://brainly.com/question/12786410

#SPJ2

8.94427191 rounded to the neareast 10th

Answers

Answer:

8.9

Step-by-step explanation:

Answer:

the answer will be 8.9 if im not wrong

For what values of t can 2x^2+tx+10 be written as the product of two binomials?

Answers

What does binomials mean???

The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

What is binomial?

A binomial expression is an expression that has two terms.

In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).

Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.

[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]

Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

Learn more about Binomial:

https://brainly.com/question/3560614

FIND THE MEASURE OF THE MISSING ANGLE

Answers

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.

Logan is doing a handstand dive from a 12 meter platform. The equation that
models the path of her dive is given by h -4.9t2 + 12, where t is seconds.
At what height will she be after 1 second?

Answers

7.1 meters
First replace t with 1
-4.9(1)^2+12
(1)^2= 1
-4.9 times 1 is -4.9
12-4.9=7.1
Hence 7.1 meters

Hope this helps!

At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?

Answers

Answer:

62.5 %

Step-by-step explanation:

The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups  = 25 + 15 = 40

So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

p = 25/40 × 100%

p = 25/4 × 10 %

p = 6.25 × 10 %

p = 62.5 %

Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.



What is the surface area of the jewelry box in square inches (sq. in)?

Answers

Length of rectangles = 7 in.

Breadth of 4 rectangles = 3 x 4

                                          = 12 in.

Side of squares = 3 in.

Area of 4 rectangles = length x breadth

                                    = 7 x 12

                              = 84 sq. in.

Area of two squares = 2(side x side)

                                  = 2(3 x 3)

                                  = 18 sq. in.

Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.

                                                                              = 102 sq. in.

Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the shoes to the nearest cent?​

Answers

She bought the shoe at a percent of 25

Please help, will mark brainliest

Answers

Answer:

The picture is just a black screen. Please tell me the question in the comments and I will try to help!

Step-by-step explanation:

A number q divided by 5 is 8

Answers

Answer:

q = 40

Step-by-step explanation:

[tex]\frac{q}{5} = 8[/tex]

multiply 5 on boths sides:

[tex]\frac{q}{5} x 5 = 8 x 5[/tex]

q = 40

to check:

[tex]\frac{40}{5}[/tex] = 8

Answer:

q = 40

Step-by-step explanation:

5,10,15,20,25,30,35,40

1   2  3   4   5    6   7    8

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