What are the coordinates of the point on the directed line segment from (-4,-1) to (6,4) that partitions the segment into a ratio of 3 to 2?

Answers

Answer 1

Using proportions, it is found that the coordinates of the desired point are (2,2).

The first point is A(-4, -1).The second point is B(6, 4).The desired point is C(x,y).

The point C partitions the segment AB into a ratio of 3 to 2, hence:

[tex]C - A = \frac{3}{5}(B - A)[/tex]

This proportion is applied using both the x and y coordinates of the points, hence:

[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]

[tex]x + 4 = 6[/tex]

[tex]x = 2[/tex]

[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]

[tex]y + 1 = 3[/tex]

[tex]y = 2[/tex]

The coordinates of the desired point are (2,2).

To learn more about proportions, you can take a look at https://brainly.com/question/4854238


Related Questions

please help me asap!!!


ty :)

Answers

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

I need help
What does x² equal?

Answers

Answer: we need to know what the equation is

Step-by-step explanation:

Need to review this problem for finals help pls

Answers

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

how many 7 digit numbers are there where all the digits are different and are in increasing order

Answers

Answer:

  36

Step-by-step explanation:

Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...

  123456789

We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.

There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.

__

Additional comment

The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...

Please help with this!!

Answers

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

Share 120 in the ratio 3:5:7

Answers

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

in math what does it mean for something to be “squared”
someone pls explain

Answers

Answer:

its an exponent of 2

Step-by-step explanation:

2

3. = 3 ×2 or 3+3

PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.

Answers

The answer is False , hope this helps

The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is​

Answers

Answer:

2x+6

Step-by-step explanation:

Perimeter of a rectangle= 2(length + width)

12x+ 4= 2(length + 4x-4)

2(6x+2)= 2(length + 4x-4)

divide both sides by 2

6x+2= length+4x-4

length = 2x +6

Find the distance between the origin and (-12,-9)​

Answers

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Answer:

Therefore, the distance between the point of origin and (-12, 9) is 15.

I need seriously help. Exponents suck.


this pictute ⇊

Answers

Answer:

4.5 × 10^46

Step-by-step explanation:

(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46

Pls help I’m trying to solve for x

Answers

Answer: x = 28

Please give Brainliest if this helped you

Step-by-step explanation:

does anyone know the account brookebyewater?

Answers

Yes it's an account of a person on brainly- they're rank is "expert".

Hope this helped you-have a good day bro cya)

Write as a single fraction in its simplest form.

Answers

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

1+12-9+23409-1238 -12313+122321

Answers

1 that’s your answer :)

solve for x and explain the steps:
3x-6=4(2-3x)-8x

Answers

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23

x = 14/23

What is the missing number in the table? x 1 2 3 4 5 y 6 36 216 ??? 7,776 252 396 864 1,296.

Answers

The missing number in the table is 1296

The y-values of the table form a geometric sequence as shown:

6, 36, 216,......

The nth term of a geometric progression is expressed using the formula;

[tex]T_n=ar^{n-1}[/tex]

a is the first term = 6r is the common ratio = 36/6 = 216/36 = 6n is the number of terms = 4 (since we need the 4th term)

Substitute the given parameters into the formula:

[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]

Hence the missing number in the table is 1296

Learn more on geometric sequence here; https://brainly.com/question/1509142

Answer:

1296

Step-by-step explanation:

Sally saved 65% of her pay check. If she made $500, how much did she save?

Answers

Answer: 325 dollars

Step-by-step explanation:

In order to find out a percentage of somethin, you can simply multiply and divide

[tex]500*65=32500[/tex]

32500÷100= 325


A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?

A. 16
B. 25
C. 18.75
D. 5

Answers

Answer:

I believe the answer is 16    Don't get mad if incorrect just trying my best

Answer:

A. 16

Step-by-step explanation:

If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.

In(3x-1)+4 i don't know the answer

Answers

Answer:3x+5

Step-by-step explanation:

Answer:

In(3xe^4 - e^4)

Step-by-step explanation:

In(3x-1)+4

convert the constant to a log with base e:

In(3x-1) + In(e^4)

Simplify the expression:

In((3x-1)e^4)

Remove the parentheses:

In(3xe^4 - e^4)

Hope it help !

Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x

Answers

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

A is 4 but I’m not sure about b

please help me asap


ty :)

Answers

Answer:

y = 5x+7

Step-by-step explanation:

Parallel lines have the same slope so y = 5x+9 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 5

The new line will have a slope of 5

y = 5x+b

We know a point on the line (-2,-3)

Substitute this point into the equation

-3 = 5(-2)+b

-3 = -10+b

-3+10 = b

7 = b

y = 5x+7

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,

m = slope c = y-intercept (x = 0)

The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).

Placing this point in the upper equation,

[tex]:\implies\rm{ - 3 = 5( - 2) + b}[/tex]

[tex]:\implies\rm{ - 3 = - 10 + b}[/tex]

[tex]:\implies\rm{ - 3 + 10 = b}[/tex]

[tex]:\implies\rm{7 = b}[/tex]

Placing b = 7 in equation we get,

[tex]:\implies\rm{y = 5x + b}[/tex]

[tex]:\implies\rm{y = 5x + 7}[/tex]

evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin

Answers

The value of f.ds = 20π.

What is Flux?

The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.

Given:

f = <3xy²,3x²y,z³>

Using Divergence Theorem

P= 3xy²

Q= 3x²y

R = z³

So, dP/ dx= 3y²

dQ/ dy = 3x²

dQ/ dz = 3z²

So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]

= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)

= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)

Since the radius is 5.

= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)

= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV

= 15 (4/3)π

= 20π

Learn more about flux here:

https://brainly.com/question/14527109

#SPJ5

Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?

Answers

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

write the equation of a line that passes through the points (-7,-4) and (-5,-6)

Answers

Answer:

y=-x-11

Step-by-step explanation:

heres a list of numbers 8,7,12,7,11,10,7,12Find median,mean,range and mode

Answers

Answer:

There it gose

Step-by-step explanation:

How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.

Answers

The number of pennies is an illustration of pattern and sequence.

The number of pennies in the nth square is [tex]2^{n-1[/tex]

From the complete question, we have the following parameters

[tex]f(1) =1[/tex]

[tex]f(2) =2[/tex]

[tex]f(3) =4[/tex]

[tex]f(4) =8[/tex]

Rewrite the functions as follows:

[tex]f(1) = 2^0[/tex]

[tex]f(2) = 2^1[/tex]

[tex]f(3) = 2^2[/tex]

[tex]f(4) = 2^3[/tex]

Express 3 as 4 - 1

[tex]f(4) = 2^{4-1[/tex]

Replace 4 with n

[tex]f(n) = 2^{n-1[/tex]

Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]

Read more about pattern and sequence at:

https://brainly.com/question/24655254

a force of magnitude 10n is applied in the directions 3i-4j to displacement point of action from A to B of position vectors 2i+j,5i-2j respectively. Find the work done. ​

Answers

An object at point A moving to point B is displaced in the direction of

r = (5i - 2j) m - (2i + j) m = (3i - 3j) m

(I assume distance is measured in meters)

If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is

F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J

Which lines are the directrices of the ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.

Answers

Answer:

ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!

Answers

3. identity property of addition
7. associative property of addition
8. multiplicative property of zero

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