Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?

Answers

Answer 1

Answer:

Coordinates of M = \(\left ( -2,4 \right )\)

Step-by-step explanation:

Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)

To find: coordinates of M

Solution:

According to section formula, if M(x, y) divides line joining points \(A(x_1,y_1)\,,\,B(x_2,y_2)\) in ratio \(m:n\) then coordinates of point M are \(\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )\)

Put \(A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4\)

Therefore,

\((x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )\)


Related Questions

pls answer ASAP this is due in 30 minutes

what's the length of the hypotenuse of the triangle if x = 3

pls answer ASAP this is due in 30 minuteswhat's the length of the hypotenuse of the triangle if x = 3

Answers

Answer:2√73

Step-by-step explanation:Input x with 3

2(3) = 6

5(3) + 1 = 16

16 squared is 256

6 squared is 36

A square plus B squared is C squared

square root of 292

What is 15 + (-3) please help me

What is 15 + (-3) please help me

Answers

Answer:

12

Step-by-step explanation:

15 + (-3) = 12

you could also write it as 15 - 3 = 12

Answer: 12

Explanation:

15 is in +
-3 is in -

So, - and + = -

Write the Equation
15 - (-3)

(Do normal subtraction)
= 12 (which sign do we use?)

15 > -3

greater number sigh is + so,

+12 or 12 is the answer

A pole that is 3.2m tall casts a shadow that is 1.14m long. At the same time, a nearby tower casts a shadow that is 39.75m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

112 meters

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

The heights and shadows are proportional since they form similar triangles.

Set equal proportions and solve for the missing length:

H/h = S/s, where H and h represent heights, S and s - shadows.H/3.2 = 39.75/1.14H = 3.2*39.75/1.14H = 112 (rounded)

Answer:

112 meters

Step-by-step explanation:

3.2/1.14 = x/39.75

3.2/1.14 = 2.81

2.81 * 39.75 = 111.57 = 112

so basically you can just tell me where the boxes go and bam you get 20 points

so basically you can just tell me where the boxes go and bam you get 20 points

Answers

Step-by-step explanation:

(2/3)(-4)(9) = -24

(5/16)(-2)(-4)(-4/5)= -2

(-3/4)(7/8)=-21/32

(2 3/5) (7/9)=91/45

(2/3) x (-4)(9) -> -24
(5/6) x (-2)(-4) x (-4/5) -> -2
(-3/4) x (7/8) -> -21/32
(2 3/5) x (7/9) -> 91/45

The value of the surface area is the same as the value of the volume. Find the value of x, then the surface area & volume of the cylinder. I also need an explanation. Diameter=7 \(\frac{1}{5}\) ft, height=x

Answers

Here is my attempt:

I hope this helped

The value of the surface area is the same as the value of the volume. Find the value of x, then the surface
16=(41)-x=Y=A hope that’s the answer sorry if it isn’t

3+(-7) +(-6) add the following integers

Answers

Answer:

-10

Step-by-step explanation:

expand: 3-7-6=-10

note smaller positive number minus bigger number makes negative answer, e.g 7-8= -1

The answer is:

-10

Work/explanation:

Use the integer rule:

\(\rhd\quad\sf{a+(-b)=a-b}\)

___

\(\rhd\quad{\sf{3+(-7)=3-7=-4}\)

\(\rhd\quad\sf{-4+(-6)=-4-6=-10}\)

Hence, the answer is -10.

WILL GIVE BRAINIEST


Avery noticed that 9/10 (fraction) of the apples in a basket are red. There are 45 red apples in the basket.


(a) Represent the situation with an equation. Use a for the variable.


(b) Solve the equation in Part (a). Show your work.


(c) What does the solution of the equation represent in the situation?

Answers

Answer:

a.) (9/10)a = 45

b.) a = 50

         We can solve this if we multiply both sides by (10/9), it gives;

         (10/9)*(9/10)*a = (10/9)*45

         a = (10/9)*45 = 50

c.) a = Total number of apples

9th grade math pls assit

9th grade math pls assit

Answers

Answer:

A: (-8,6) B: s = - 1, t = -3

Please help!!!!! 40 points!
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.

Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4

Josiah’s work:

StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

Answers

Answer:

Step-by-step explanation:d

i need help with this question please help me

i need help with this question please help me

Answers

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Can someone help me with this ASAP

Can someone help me with this ASAP
Can someone help me with this ASAP
Can someone help me with this ASAP

Answers

Answer:

a is ( d ) b I think is ( c or a)

Hair Salon Answer:

1 and 1/3

T-Shirt Answer:

160

Classroom Answer:

82.68

3/4x+5-1/2x=3 what’s the value of x

3/4x+5-1/2x=3 whats the value of x

Answers

Answer:

x= -8

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation

(jk−1)÷j when j=−4 and k=−0.7

Answers

Answer: -0.45

Step-by-step explanation:

Plug in the variables

(-4 × -0.7 - 1) ÷ -4

Simplify

(2.8 - 1) ÷ -4

1.8 ÷ -4

-0.45

When j = 4 and k = 0.9, the answer in decimal notation to the above equation (jk1)j is 0.65.

What is meant by decimal?

An accepted approach for notating both integers and non-integers is the decimal number system. It is a non-integer number extension of the Hindu-Arabic number system. The term "decimal system" is frequently used to refer to the system of representing numbers.

Start by dividing decimals by ten before multiplying them.. Next, determine how many decimal places there are for each factor. Put the same amount of digits after the product's decimal points.

There are three varieties of decimal numbers:

non-repeating

recurring  

decimal fractions

Given:

j = 4 and k = 0.9

(jk − 1) ÷ j

equating the values in the given formula

(4 × 0.9-1) ÷ 4

= (3.6 - 1) ÷ 4

= 2.6 ÷ 4

= 0.65

Therefore When j = 4 and k = 0.9, the answer in decimal notation to the above equation (jk1)j is 0.65.

To learn more about decimal notation refer to:

https://brainly.com/question/2273582

#SPJ2

Answer ALL of the questions. PLSS

Find the TIME if the distance is 227.5 miles and the speed is 65 mph.

Find the DISTANCE if the speed is 175 mph and the time is 2.5 hours.

Find the RATE if the distance is 120 miles and the time is 4.8 hours.

How far will a train moving at 15 km/min go in 52 minutes?

If a robot is chasing you at a speed of 36 m/sec for a distance of 162 m. For how long has the robot been chasing you?

Noah rides his bike 9 miles in 2.5 hour. What is his average speed in miles per hour (mph)?

Solve the following equation for m:
2.2m = 990

Solve the following equation for x:
3.5 = x/10

Answers

1: 227.5 divided by 65 = 3.5 h
2: 175 x 2.5 = 437.5 miles
3: 120 divided by 4.8 = 25
Solve for m: 450 = m
solve for x: 35 = x

The student council is making and selling square patchwork quilts to raise money for the homecoming dance. Which of the following number of squares can be used to create a square patchwork quilt? Justify your answer using three complete sentences.

A. 35 B. 84 C. 64 D. 18

Answers

Answer:

64

Step-by-step explanation:

For the area of the quilt to be square, the number of "Squares" must be a square number.  You must be able to take the square root and get an integer

35 is not a perfect square

84 is not a perfect square

64 is a perfect square  sqrt(64) = 8

Answer:

the awnser is simply B. 84

Step-by-step explanation:

Please Help Explain This To Me!!!! I Have A Test On This Tomorrow!!! 20 POINTS!!! I WILL GIVE THE BRAINIEST!!!!

Please Help Explain This To Me!!!! I Have A Test On This Tomorrow!!! 20 POINTS!!! I WILL GIVE THE BRAINIEST!!!!

Answers

Answer:

45/8

Step-by-step explanation:

You divide 3 3/4 by 1 1/2

First turn the mixed numbers into improper fractions.

Multiply the whole number by the denominator then add the numerator. Keep the denominator the same.

3 3/4:

3 x 4 = 12

12+3

= 15/4

1 1/2 :

1 x 2= 2

2+1

= 3/2

now you're dividing 15/4 by 3/2

My teacher always taught me KFC:

Keep, change flip

Keep:

Keep the first fraction don't change it. 15/4 stays the same.

Change:

Change the division sign to multiplication.

Flip:

Flip the last fraction to its reciprocal.

In this case instead of it being 3/2, it will be 2/3

Next

Multiply straight across

15/4 x 2/3

15 x 2 = 30

4 x 3 = 12

30/12

Simplified would be 5/2 as an improper fraction

or

2 1/3 as a mixed number

I am so sorry but I don't know how to explain the 2nd question without it making any sense, I hope someone else can for you! I hope I helped with the first one!

Answer:

Step-by-step explanation:

15/4 x 2/3

15 x 2 = 30

4 x 3 = 12

30/12

Simplified would be 5/2 as an improper fraction

or

2 1/3 as a mixed number

true or false signals from the peripheral devices are carried to CPU a long control bus circuits

Answers

Answer: true

Step-by-step explanation:

Referring to the Fig. in Question #26, find the product represented by the
shaded region.

Referring to the Fig. in Question #26, find the product represented by theshaded region.

Answers

Answer: 0.375

Step-by-step explanation:

Width= 1÷4= 0.25

Length= 1÷2=0.5

=(0.25x0.5)x3

=0.125x3

=0.375

PLEASEE HELP ME
Referring to the figure, find the area of the rectangle shown.
a. 48 m2 c. 567 m2
b. 96 m d. 2,268 m2

PLEASEE HELP ME Referring to the figure, find the area of the rectangle shown. a. 48 m2 c. 567 m2 b.

Answers

Answer:

c

Step-by-step explanation:

area is length multiply width 21 and 27 is 567m2

THE ANSWER WOULD BE
B IS THE CORRECT ANSWER

Point A, located at (5, -4) is reflected in the y-axis, resulting in the location of point A'. Which of the following statements is true?

Point A' is located at (-5,-4)
Point A' is located at (-5,4)
Point A is located at (4,5)
Point A' is located at (-4,5)

Answers

The correct answer is Point A' is located at (-5, -4).

When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).

Point A’ is located at (-5,-4)

please help me with my ixl

please help me with my ixl

Answers

Answer:

B=64

Step-by-step explanation:

B+7=71

do the opposite-

B+7=71

  -7=-7

B=64

Yw Uvu

64 goodluck with ur ixl. !!!!

Find x, the missing side length of the right triangle

Find x, the missing side length of the right triangle

Answers

The answer should be 16

Answer:

\( \sqrt{277} \)

Step-by-step explanation:

\(x { }^{2} = 9 {}^{2} + 14 {}^{2} \\ \sqrt{x {}^{2} } = \sqrt{14 {}^{2} + 9 {}^{2} } \\ x = \sqrt{277} \)

A teacher selects two different numbers, x and y, and states that x + y = 0. Which statement could be true about these two numbers?

Both numbers are positive.

Both numbers are negative.

One number is zero and the other is positive.

One number is positive and the other is negative

Answers

Answer:

One number is positive, and the other is negative. The numbers are additive inverses. x + y = 0 -----> y = -x

One number is positive and the other is negative

How much do the bells equal?

How much do the bells equal?

Answers

Answer:

15

Step-by-step explanation:

First figure out the candy cane with the 2nd row: 12-_=_

12-6=6 so candy cane is 6

Then the gingerbread man 3rd row: 6 (candy) + ___ = 31. Just do 31 minus 6 to get 25. This means gingerbread is 25.

Then you can find the bells with row 1: 25(ginger)+___ = 40. Just do 40 minus 25 which is 15. The bells are 15.

Hope this helps

The bells equal 15 so it’s 15

Follow the rule to find the next three numbers in the pattern. Describe the pattern using the terms even and odd


Add 5: 1, 6, 11, ___, ___, ___

_________________________________________________________

Answers

Answer:

16, 21, 26

the number pattern is odd, because 5 is an odd number.

Answer: 16 21 26

Step-by-step explanation:

Kenneth graphed a system of equations.

Kenneth says the system has no solution
Do you agree?
Yes or No

Kenneth graphed a system of equations.Kenneth says the system has no solutionDo you agree?Yes or No

Answers

No. As the lines continue they will intersect.
There’s is a solution

what is 741.00 minus 3.91?​

Answers

The answer to 741.00-3.91 is 737.09
737.09 is the answer

Emilio is modeling 4.62 ÷ 6 . How should he exchange the place-value blocks so he can make 6 equal shares

Answers

Answer: Change 4.62 to 462.

Step-by-step explanation: If you multiply 4.62 by 100 you get 462.

1) 46/6 = 7 r 4

2) Drop down the 2 and 42/6 equals 7.

3) This will make each person get 77.

Answer: 77

(Please consider brainliest)

Which of the following is equivalent to\(5/3 +1/3\)?

Answers

Answer:

\( \frac{6}{3} = 2\)

Step-by-step explanation:

\( \frac{5}{3} + \frac{1}{3} \\ \\ = \frac{5 + 1}{3} \: \: \\ \\ = \frac{6}{3} = 2\: \)
Denominator the same so just add the numerators : 5+1=6
Which of the following is equivalent to[tex]5/3 +1/3[/tex]?

Please help me answer.

Please help me answer.

Answers

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

For the first column it will go 5,10,15,20,25
And second column is 7,14,21,28,35
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