What are the coordinates of point P on the directed line segment from A (-5, -4) to B(5, 1) that partitions the segment into a ratio of 3 to 2?

(1 point)

(11,4)

0 (-1, -2)

O (1, -1)

O 0,- 3)

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Coordinates of a point (h, k) which divides a line with ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the ratio of m : n are,

h = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

k = [tex]\frac{my_2+ny_1}{m+n}[/tex]

If the ends of line AB are A(-5, -4) and B(5, 1) and a point (h, k) divides this line into two parts in the ratio of 3 : 2

h = [tex]\frac{3\times (5)+2(-5)}{3+2}[/tex]

h = 1

k = [tex]\frac{3(1)+2(-4)}{3+2}[/tex]

k = -1

Therefore, coordinates of the point (h, k) are (1, -1).

Option (3) will be the answer.


Related Questions

Evaluate the expression for a = 3, b =12, and c = 4.

8ab/2bc

PLZ I NEED HELP!!!

Answers

8(3)(12) is 288. 2(12)(4) is 96. 288/96 is 3. Answer is 3

point q is located in ( -4 , 6) point r is located in ( 8,6) . what is the distance from pint q to point r

Answers

Answer: 12

Step-by-step explanation: It’s on the same y axis and -4 to 8 is going to the right on a graph.

Please help ( if you want)

Answers

4 to the power of six


Why?
BC the 4 to the power of zero cancels out to one

Pretty pretty please

Answers

Answer will be B 6^2

Answer:

Lol hahahahahaha

Step-by-step explanation:

Triangle JKL is shown below. Find the value of x.

Answers

Answer:

x=9

Step-by-step explanation:

every angle of a triangle added together equals 180. ill just show my work bc its hard to explain:

7x+2 + 4x+7 + 8x = 19x+9

19x+9 = 180

     -9     -9

19x = 171    (now divide by 19)

x=9

i need help please what is the x

Answers

Answer:

x=4

Step-by-step explanation:

well you know that the square is 90 degrees so you set it up as 90=21x+6. Then you subtract 6 from both sides and it gets you 84=21x. Then divide 21 on both sides. So the answer is x=4

Can someone help please?

Answers

Answer:

1) 2<x<10 (the first choice)

2) 17<x<40 (the first choice)

3) x<-1 or x>2 (the second choice)

Step-by-step explanation:

1) 2<x<10...this is another way of representing x<10 and x>2 in an "and" inequality. If you look at 2<x<10 from left to right, it says 2 is less than x and x is less than 10.

2) 17<x<40...this represents x>17 and x<40 in an "and" inequality as well. If you look at 17<x<40, it reads 17 is less than or equal to x and x is less than 40.

3) x<-1 or x>2...the signs are greater than or equal to because the dots are closed on the number line. Also, this is not an "and" inequality. This is actually an "or" inequality. You can mainly tell because the lines are shaded opposite ways and do not intersect.

I hope this helped!! Good luck on your assignment and have a wonderful day :3

What type of graph represents the solution of the equation y= 2x+4?

A- a vertical line passing through the point (0,4)

B- a horizontal line passing through the points (0,4)

C- a line falling from left to right and passing through the point (0,4)

D- a line rising from left to right and passing through the point (0,4)

Answers

Answer:

D

Step-by-step explanation:

rise 2 the go 1 to the right

Can you help please

Answers

Answer:

The last two options.

Step-by-step explanation:

y=2x+4 (replace the x with 1) y=2(1)+4  Y=6

y= 2x+4 replace the x with 2) y= 2(2)+4  Y= 8

So the y coordinate can be 6 or 8.

(x,y)

ANSWER: (1,6) and (2,8)

HOPE THIS HELPS!!!

Answer:

last two options

Step-by-step explanation:

if x=1

2*1+4=6

if x=2

2*2+4=8

Find the value of x.

Answers

Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

A typical snake bite delivers 0.0045 grams of venom. Maria and Tammy were asked to write this number in scientific notation. Their answers are shown below. Which student is correct? Explain how you determined your answer.

Answers

The first choice is correct.

Explanation

[tex]4.5*10^3=4500\;This\;cannot\;be\;it\;since\;the\;result\;is\;4500.\\\\4.5*10^-^3=0.0045\;This\;is\;the\;correct\;answer![/tex]

What is the recursive for 2, 8, 14, 20

Answers

Answer:

It's linear and it stays constant with every number it increases by 6 you will notice that almost immediately therefore making this simplistic and unworthy of my time no offense I'm only here for the points.

Step-by-step explanation: I hope this helps!

The recursive formula is [tex]a_n\\[/tex] = 6n - 4.

What is Recursive formula?

Any term of a series can be defined by its preceding term in a recursive formula (s).

A recursive formula consists of two parts: a declaration of the first term and a declaration of the formula connecting the succeeding terms.

For example: The recursive formula of an arithmetic sequence is,

an = an-1 + d.

Given:

2, 8, 14, 20

The above data shows Arithmetic Progression series.

a = 2

d = 8-2

d= 6

So, using Arithmetic Progression

[tex]a_n[/tex] = a+ (n- 1) d

[tex]a_n\\[/tex] = 2+ (n- 1)6

[tex]a_n\\[/tex] = 2+ 6n - 6

[tex]a_n\\[/tex] = 6n - 4

Hence, the recursive formula is [tex]a_n\\[/tex] = 6n - 4.

Learn more about recursive formula here:

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Identify the y-intercept of the function 7x + 2y = 4.

Answers

Explanation: Standard form of equation of line is y=mx+c , where c is the y-intercept. So the y-intercept is −6 The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 0 .So according to our formula of y=mx+b, where m is slope, our slope is −72 which would also be −3.5Explanation: The slope-intercept form is y=mx+b where m is the slope value. In the equation y=2x , the m value is 2 . Therefore, 2 is the slope.It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3. You can not have a fraction in standard form so you solve this. the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.To find the y-intercept let x = 0 and solve for y. Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).

Suzanne bought 3.25 pounds of red delicious
apples at a price of $1.32 per pound. How much
did Suzanne spend on the apples?

Answers

Answer:$9.24

Step-by-step explanation:

Answer:

Suzanne spent $4.29 on the apples

Step-by-step explanation:

this is known because you need to add 1.32 three times then add .33 to it which will give you 3.96 + .33 = 4.29

Which triangle must be a right triangle and why?


ΔA'B'C' is right because it is the image of ΔABC.

ΔADC is right because AA' intersects AC at A.

ΔBCC' is right because B lies of the line of reflection.

ΔBGC is right because Line E G is perpendicular-to CC'.

Answers

Answer:

Where's the picture? But, I think it may be A without using the image.

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

The house-numbers on a certain street go from 1 to 88 . The function B ( n ) B(n) models the type of the building whose number is n according to the following key:

Answers

Answer:

1. Integers

2. 1≤n≤88

Step-by-step explanation:

pls help
8(c - 9) = 6(2c -12) - 4c
what is c?

Answers

Answer:

C=0

Step-by-step explanation:

Find the value of a.

Answers

Answer:

mthway

Step-by-step explanation:

math*

= 81° + a° + a° = 180° ( angle sum property )

[tex]81° + 3a = 180° \\ 3a = 180 - 81 \\ 3a = 99 \\ a = \frac{99}{3} \\ a = 33°[/tex]

The three angles of this triangle are :

[tex] \: ∠1 \:= 81° \\ \: \: ∠2 = 2a = 2 \times 33 = 66° \\ ∠3 = a = 33 \\ \\ ∴ \: a = 33° \: [/tex]

2 2/3 divided by 4
help

Answers

Answer:

[tex]\frac {2} {3}[/tex] is the answer

Step-by-step explanation:

[tex]\frac {8} {3}[/tex]÷[tex]\frac {4} {1}[/tex] can be turned into [tex]\frac {8} {3}[/tex]·[tex]\frac {1} {4}[/tex] using the KCF method. now we solve:

8\4=2

[tex]\frac {2} {3}[/tex] is the answer

2/3 is the correct answer .

Two angles are supplementary. One measures 3x-2 and the other measures 2x+7 Find the value of x and the measure of the smaller angle.

Answers

Sum of two angles that are supplementary = 180°

Then :-

[tex]3x - 2 + 2x+ 7 = 180[/tex]

[tex]5x + 5 = 180[/tex]

[tex]5x = 180 - 5[/tex]

[tex]5x = 180 - 5[/tex]

[tex]5x = 175[/tex]

[tex]x = \frac{175}{5} [/tex]

[tex]x = 35[/tex]

Which means :-

The measure of the larger angle :-

= 35 × 3 - 2

= 105 - 2

= 103°

The measure of the smaller angle :-

= 2 × 35 + 7

= 70 + 7

= 77°

Therefore , the value of x = 35 and the measure of the smaller angle = 77° .

Lashawn solved the equation below to the determine the solution 3x-8=-x+4(x-2)

Answers

Answer:

all real numbers

Step-by-step explanation:

3x-8 = -x + 4(x-2)

distributive property:

3x - 8 = -x + 4x-8

Combine like terms:

(add 3x to both sides)

-8 = -8

That means that x can be any number, because in the end, x will be canceled out from the equation.

AllRealNumbers

In a scale model of the Eiffel Tower, 10 centimeters represent 65 meters. If the real Eiffel Tower is approximately 325 meters tall, how tall is the plastic model?

Answers

Answer:

The plastic model is 50 meters tall

Step-by-step explanation:

Here, we want to know how tall is the plastic model

In the plastic model 10 m represents 65 meters

then x meters plastic = 325 m real

10 * 325 = 65 * x

3250 = 65x

x = 3250/65

x = 50 meters

What’s two times to.

Answers

Answer:

4

Step-by-step explanation:

Basic times tables

Answer:

4

Step-by-step explanation:

2+2

=

4

I hope this helps!

Please help anyone
Linear function f is shown in the graph. Write the slope-intercept form of the equation representing this function.

Answers

Y=3x-7 more characters because the app won’t let me put only the answer

The equation representing the function f(x) -

y = 4x - 8

We have a linear function f(x) as shown in the graph.

We have to determine the slope-intercept form of the equation representing this function.

What is the Slope - intercept form of the equation of a straight line ?

The Slope - intercept form of the equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question, we have -

c = - 8 = intercept of line on y - axes.

Intercepting coordinates on  y - axes = (0, -8).

Intercepting coordinates on x - axes = (2, 0).

Slope = m = [tex]\frac{-8-0}{-2 -0}[/tex] = 4

Therefore, the equation representing the function f(x) -

y = 4x - 8.

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What is the first step to this problem -2+12h=-26

Answers

Answer:

+2 to both sides

Step-by-step explanation:

12h=-24

Answer:

flip -2 over on the other side and add it to -26 so you will have 12h=-24 and the overall answer will be h=-2

Step-by-step explanation:

Which of the following is the factor of 5x - 35?
A. 5(x - 7 ) B. 5(x + 7)
C. 7(x - 5) D. 7(x + 5)​

Answers

Answer:

a

Step-by-step explanation:

The answer above is correct

-c + 5d + 7c - 11d + d - 3c

Answers

The anwser is -4c + 2d

Answer:

3c-5d

Step-by-step explanation:

Mandi has $40 to spend at the fair. The admission to get into the fair is $5 and each ride is $1.75
Write an inequality to represent the situation using r for the number of rides

Answers

1.75r +5=40

I dont know why i did this i need to be doing my work

The expression -7yis a
Variable
constant
term

Answers

Answer: Term

Step-by-step explanation: Variable is x, constant is not x4. Term is a group like 4x or 7y.

pls help me with this i attached a photo of the question thanks!!

Answers

Answer:

-232

Step-by-step explanation:

the salt flats have an elevation of 50 feet greater than -282, so add 50 to -282 and you get -232

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