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In
what ratio does the point (m, 4) divide the line joining points (5, 1) and
(-3, 2)? Also, find the value of m.
what ratio does the point divide the line​

Answers

Answer 1

Answer:

Part 1; The point (m, 4) divides the line externally in the ratio 3:2

Part 2; m = -19

Step-by-step explanation:

Part 1

The given point dividing the line = (m, 4)

The given points on the line = (5, 1) and (-3, 2)

Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)

Therefore, we have;

The vertical distance from 4 to 1 = 4 - 1 = 3 units

The vertical distance from 4 to 2 = 4 - 2 = 2 units

Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2

Part 2

Therefore, we have;

(m - 5)/(m - (-3)) = 3/2

3·m + 9 = 2·m - 10

m = -19


Related Questions

PLEASE PLEASE HELP ME

Answers

Answer:

Assuming that it ends at 9.5. The domain is (-8 , 9.5). However, assuming it continues further to the right, it could be (-8 , ∞)

Range is the area covered vertically. Assuming it ends at 9.5 it would be        (4 , -4) However, assuming it continues further down vertically, it would/could be (4 , -∞)

Neither.

Step-by-step explanation:

Domain is the area covered horizontally. Assuming that it ends at 9.5. The domain is (-8 , 9.5). However, assuming it continues further to the right, it could be (-8 , ∞)

Range is the area covered vertically. Assuming it ends at 9.5 it would be        (4 , -4) However, assuming it continues further down vertically, it would/could be (4 , -∞)

It is neither because it is on the x-axis.

Solve for x.
1/3 x+4=-2/3 x+12

Answers

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

What is the median of these numbers 9, 10, 6, 5, 6

Answers

Answer:

6.

Step-by-step explanation:

First you put the numbers in order, 5, 6, 6, 9, 10 then you find the number in the middle, which in this case is 6.

Find f(-2) if f(x)= x^2 + 8x

Answers

Answer:

f(-2) = -12

Step-by-step explanation:

f(x)= x² + 8x

We want to find f(-2)

f(-2) = (-2)² + 8(-2)

Apply exponent : (-2)² = 4

f(-2) = 4 + 8(-2)

multiply 8 and - 2 : 8 * -2 = -16

f(-2) = 4 - 16

subtract 16 from 4 : 4 - 16 = -12

f(-2) = -12

Step-by-step explanation:

f(x) = x² + 8x

f(-2) = (-2)² + 8(-2) = 4 - 16 = -12

What would the graph look like

Answers

Answer I cant read the thing sorry

Step-by-step explanation:

hoped that hepled:)

A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses

Answers

Answer:

C. 156

Step-by-step explanation:

65/5

13 houses per month

13*12=156

Question 3 Multiple Choice Worth 4 points) (03 02) A fish is 5 feet below the surface of a lake if its position can be recorded as -5 feet what would the position of o representa o the distance above the surface of the lake O the distance below the surface of the lake O the surface of the lake me height of the fish​

Answers

Answer:

omg u a real one been lloking for this bing bong

Step-by-step explanation:

What is 2 rounded to the nearest whole number?

Answers

Answer:

2

Step-by-step explanation:

Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?

Answers

Answer:

1.27? :v

Step-by-step explanation:

porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.

A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?

There are__?__ acres of old-grown trees.

Answers

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".

which graph best describes the slope of the line in the graph? a) positive b) negative c) zero d) undefined
pleassseeeee

Answers

Ok, so you didn't put any picture to go along with the question but hey, thats ok because I can still help you.

In order for a graph to be positive, it has to be leaning to the right.

In order for a graph to be negative, it has to be leaning to the left.

In order for a graph to be zero, it has to be horizontal.

In order for a graph to be undefined, it has to be completely vertical.

You can look at the picture below if you still need help.

P.S. The picture with the yellow lines is the ones that are zero and undefined. The yellow line on the left is undefined, the yellow line on the right is zero.

Which of the following expressions are equivalent to 40x+30y choose all that apply

Answers

Answer:

1,390 I think that's the answer

Step-by-step explanation:

hope that helps

The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given are some expressions in the options.

Distributive rule says that,

a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.

5x(8 + 6) = 5x(14) = 70x

5(8x + 6y) = 40x + 30y

10(40x + 30y) = 400x + 300y

10(4x + 3y) = 40x + 30y

2y(20x + 15) = 40xy + 30y

2(20x + 15y) = 40x + 30y

Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

Learn more about Expressions here :

https://brainly.com/question/21751419

#SPJ2

The complete question is :

Which of the following expressions are equivalent to 40x+30y. Choose all that apply.

5x(8 + 6)

5(8x + 6y)

10(40x + 30y)

10(4x + 3y)

2y(20x + 15)

2(20x + 15y)

what is the sum of x+8

Answers

Answer:

8 + x

Step-by-step explanation:

you can't combine unlike terms so the equation remains the same, but you should always put integers before variables and coefficients

8+x because it just is

Gravitational energy_____.
A. is a type of potential energy
B. Is the energy of an object position
C. Is stored energy
D. All of the above
SOLVE QUICKLY PLEASE!!

Answers

Answer:

A. is the type of potential energy

Step-by-step explanation:

examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill

5 MINUTES to answer pls help.

20 Points

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

4. Diagram A represents the area enclosed by a shopping mall.
Diagram A
B
6 inches
What is the length of side AC of the actual mall, in feet?
A
С
8 inches
Answer:
feet
Scale: 1 inch = 300 feet

Answers

Answer:

The answer is 2,400:)

Step-by-step explanation:

8×300 is 2400

1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??


Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .

Answers

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you XD ✌️Carry on learning !!

10. Andrew has deposited $5500 ond has withdrawn $4800 Two times consecutively. Find the amount in his account.

Answers

Answer:

-4100

Step-by-step explanation:

STEP ONE:

5500-4800(2)

STEP TWO:

5500-9600

STEP THREE:

Get -4100.

So, the answer is -4100.

Simplify: –5(3x – 11)

Answers

Answer:

40 i think

Step-by-step explanation:

Just multiply the -5 through and you get -15x+55

The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.

Answers

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

[tex]x^2+9x+14[/tex]

To get the factors, we will factorize the given quadratic function as shown:

[tex]g(x) = x^2+2x+7x+14[/tex]

Group the functions to have;

[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]

Factor out the GCF from both parenthesis:

[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]

Hence the factors of the given model are (x+2) and (x+7)

Learn more on factorization here: https://brainly.com/question/25829061

carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?

Answers

Answer 2228 sq. ft.
I Hope This Helps

solve by factoring 9x^4-16=0

Answers

X1=1.04195,x2=1.04195

Function project a day of fun

Answers

i mean i dont know what you want me to help but good luck

raplhy jogs at a rate of 4/2 miles in 2/5 of an hour. What is his speed in miles

Answers

Answer:

Ralph's speed is 2 miles in 24 minutes.

(Unit rate, Ralph runs 1 mile in 12 minutes)

Step-by-step explanation:

4 divided by 2 is 2 (miles)

2/5 of an hour is 24 minutes (60/5=12+12=24)

Mapping diagram: Is it a function? (yes /
no
) Why or why not?

Answers

It is a function

Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

can some one help me on this

Answers

28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds

find the perimeter and area?

Answers

Answer:

P = 51 units

A = 137 units^2

Step-by-step explanation:

P = 5+5+7+11+7+16 = 51 units

A = 5x5 + 16x7 = 137 units^2

Hope that helps

Ok done. Thank to me :>

Its very hard so brainly is very helpful

Answers

Answer: What question do you need help with?

Answer:

do u eat cat litter

Step-by-step explanation:

(-9)+5-6+9-(-9)+99-2+50

Answers

155 is your answer!
-9+5=-4
-4-6=-10
-10+9=-1
-1-(-9)=8
8+99=107
107-2=105
105+50=155

1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer

Answers

Answer:

2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0

Step-by-step explanation:

i have no idea what math this is or what its looking for so please comment how to improve the answer

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