Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)

Find The Coordinates Of A Point That Divides The Directed Line Segment XY In The Ratio 2:6. Answers:

Answers

Answer 1

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]

                    = -[tex]\frac{16}{8}[/tex]

                    = -2

and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]

         = [tex]-\frac{40}{8}[/tex]

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.


Related Questions

Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?

Answers

Answer:

$178,000

Step-by-step explanation:

The calculation of X and Y is shown below:-

Before that we need to do the following calculations

[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]

[tex]= 0.45\times\$400,000[/tex]

= $180,000

[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]

[tex]= 0.06\times\$400,000[/tex]

= $24,000

Now, Operating cash flow of X in Year 1

[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]

= $38,000 + $90,000

= $128,000

and Operating cash flow of Y in Year 4

[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]

= $38,000 + $12,000

= $50,000

[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]

= $128,000 + $50,000

= $178,000

hence, the X + Y is $178,000

The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?

Answers

Answer: the Temperature on Tuesday is 13 degrees Celsius

-5.8c + 4.2 - 3.1 + 1.40

Answers

The answer will be -3.3. Hope this helps!

Answer:

-3.3

Hope this helps!

Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.

∆ARE ≅ ∆ _______
By rule _________

Answers

Answer:

ARE is congruent to ARC

By rule SSS

Step-by-step explanation:

Welp that's just the answer.

Hope this helps

The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth’s statement?

Answers

Answer:

D)She may not be correct because means cannot be determined from Box plots.

Step-by-step explanation:

Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,

Box plot tells us about :

1) Mininmum value

2) 25th Percentile value

3)Median

4) 75th Percentile value

5)Maximum value

6) Interquartile Range

Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.

So,Option D is true

She may not be correct because means cannot be determined from Box plots.

Answer:

She may not be correct because means cannot be determined from the box plots

Step-by-step explanation:

Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)

Answers

Answer:(B)

Step-by-step explanation:

so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.

Answer:

The answer is A (25, 0)

Step-by-step explanation:.

The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.

In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a magnitude 3.0 earthquake was it?

Answers

Answer:

1000

Step-by-step explanation:

each number is 10 times more intense than the previous

A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?

A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds

Answers

Answer:

A

Step-by-step explanation:

This option contains a number that would appear on this scale.

Answer:130.4

Step-by-step explanation:

have good day

Plzzz answer ASAP. Plzz answer ALL three a,b,c

Answers

Answer:

I hope it helps . For any clarification , Please notify me through the comment section .

Step-by-step explanation:

[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]

What is the correlation coefficient for the data shown in the
table?
0
1
оооо
4
5

Answers

Answer:

1

Step-by-step explanation:

If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+ g(x).
O A. 5x-3
O B. x-1
O c. x-3
O D. 5x-1
SUBMIT
Plzzz helpp

Answers

Answer:

5x-1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

f(x) + g(x) = 3x-2 +2x+1

                Combine like terms

                = 5x-1

Answer:

(f+g)(x)=5x-1

Step-by-step explanation:

To find (f+g)(x), add f(x) and g(x)

f(x)+g(x)

We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.

f(x)=3x-2

g(x)=2x+1

(3x-2)+ (2x+1)

Combine like terms. Add all the terms with a variable, then all the terms without a variable

(3x+2x)+(-2+1)

5x+(-2+1)

5x-1

(f+g)(x)=5x-1

Does anyone know the answer?

Answers

[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

[tex]210 \: \: \: degrees[/tex]

Step-by-step explanation:

Two equilateral triangles and a square are join together.

So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.

Also in a square all the angles are equal . it measures 90 degrees.

x = two triangle = 60 +60

square = 90

[tex]60 + 60 + 90 \\ = 210[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!​

Answers

So the first question that’s A is the blue team because they have 100 points , question B is both of the teams is at the same point together and question C , team blue because they scored 100 points , Hope this helps , brainliest will be appreciated:)

describe to a friend how to graph a point at (2,5)

Answers

Answer:

So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!

Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it

Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance  of 5 from y-axis.

What are the co-ordinates of a point in a graph?

A point has two inputs namely the x-coordinate and y-coordinate. The  x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.

Given point is (2,5)

Plot x=2 at a perpendicular distance from y axis measured along positive x axis

plot y=5 at a perpendicular distance from x axis measured along positive y axis

and we get the required point.

The point (2,5)  is plotted in the graph attached with the answer.

Learn more about co-ordinates here:

https://brainly.com/question/27749090

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Answer the question below

Answers

Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One

Answers

Answer:

Zero

Step-by-step explanation:

Option C is correct, there are Infinitely many solutions are there to the system of equations.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The two lines are parallel, they have the same slope, which means that m is the same for both equations.

Therefore, the system of equations can be simplified to:

y = mx + b₁

y = mx + b₂

Subtracting the two equations, we get:

0 = b₁ - b₂

This means that the y-intercepts of the two lines are equal.

The two lines coincide with each other, and there are infinitely many solutions to the system of equations.

Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ7

A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?

Answers

Answer:

t = 2 sec

Step-by-step explanation:

h = – 2t²– 6t + 20

When the rocket hits the ground. h = 0 ft.

– 2t²– 6t + 20 = 0 /: (-2)

t² + 3t - 10 = 0

(t + 5)(t - 2)=0

t = - 5, t = 2

Time can be only positive.

Please help with this...will give you five star and brainlist.....

Answers

Answer:

P = 72 mm

Step-by-step explanation:

Since all the angles are equal, this triangle is an equilateral triangle.

That means all the sides are equal.

All sides have length 24

P = 24+24+24

P = 72 mm

Jamie spent
$196.76 on groceries this week. Of her total,
$16.15 was spent on taxes. What percentage of her total was spent on taxing?

Answers

That’s how you do it ☺︎︎

What is the surface area of the shaded front face of the composite solid?

A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters

QUESTION 6

Answers

Answer:

26

Step-by-step explanation:

the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.

By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.

How to find the shaded area?

Remember that for a rectangle of length L and width W, the area is:

A = L*W

Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.

These are (reading from left to right).

Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.

So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:

A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²

If you want to learn more about area:

https://brainly.com/question/24487155

#SPJ2

How many years will Matt need to invest $4200 to earn $200 interest, if the simple interest rate is 2.5% p.a.? Round the answer to the nearest year

Answers

Answer: 2 years

Step-by-step explanation:

SI = prt / 100

200 = ( 4200 x 2.5 x t) / 100

200 = 105 t

t = 200/105 = 1.9

the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3​

Answers

Answer:

the correct answer should be -2.65

Step-by-step explanation:

the mistake is dividing 17y by 15 instead of 17

Graph the linear equation.

Answers

Answer:

Look at the image

Step-by-step explanation:

What is the slope of the line? 2x+4y=6-y

Answers

Answer:

m= -2/5

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope m.

Answer:

-2/5

Step-by-step explanation:

plz mark brainliest!

Twin brothers need help can anybody help them?

Answers

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.

Answers

Considering the equation for the volume of a cylinder, it is found that the correct statement is:

A. The volume of cylinder X is less than the volume of cylinder Y.

What is the volume of a cylinder?


The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

It is answer B

Step-by-step explanation:

this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.

What is the factored form of x2 - 9x + 20?

Answers

Answer:

(x - 4) (x - 5)

Step-by-step explanation:

Factor the following:

x^2 - 9 x + 20

The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):

Answer: (x - 4) (x - 5)

(Answer is X-4) (x-5)

whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points

Answers

Answer:

1- 4/6 = 2/6 or 1/3.

Answer:

1/3

Step-by-step explanation:

1 - 4/6

Replace 1 with 6/6

6/6 - 4/6

2/6

Divide the top and bottom by 2

1/3

What is the ratio of quadrilaterals to shapes?Write the ratio as a fraction using the / symbol.

Answers

If the side on one shape is a and the side on the other shape is b, a common ratio between the two shapes r will exist so that a = b × r. Thus, to find a common ratio simply divide one corresponding side's length by the other: r = a ÷ b. It's as simple as that.

Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT

Answers

Answer: x > 20

Step-by-step explanation:

x + 10 > 30

    -10     -10

x > 20

Answer:

x-3

Step-by-step explanation:

x+7-7>10-7

subtract 7 from both sides

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