What are the coordinates of the point on the directed line segment from (-6, -3) to
(5,8) that partitions the segment into a ratio of 6 to 5?

Answers

Answer 1

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

[tex]Point=\left(\dfrac{6(5)+5(-6)}{6+5},\dfrac{6(8)+5(-3)}{6+5}\right)[/tex]

[tex]Point=\left(\dfrac{30-30}{11},\dfrac{48-15}{11}\right)[/tex]

[tex]Point=\left(\dfrac{0}{11},\dfrac{33}{11}\right)[/tex]

[tex]Point=\left(0,3\right)[/tex]

Therefore, the coordinates of the required point are (0,3).


Related Questions

Help please!! Math problem

Answers

Answer:

What are the options?

Step-by-step explanation:

Possible solutions shown of the graph: (0,5) or (4,0)

Given the function k(t)=2t-1:
a) evaluate k(2)
b) solve k(t) =7​

Answers

Answer:

hope it helped have a nice day

The temperature was +12 degrees at midday. By evening, the temperature was -20 degrees. What was temperature change?

Answers

Answer:

The temperature decreased by 32 degrees.

Step-by-step explanation:

Helo me out with this question ????

Answers

Answer:

Congruent

To be honest they are equal but in this question there is no option as equal so we can choose congruent

fifty-nine thousandths
Write fifty-nine thousand in numerical format

Answers

Answer:

59,000

Step-by-step explanation:

6 X (22 + 9) = 6 x 22 + 6 x 9
This is an example of ______
property.

Answers

Answer:Distributive property

Step-by-step explanation:

6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.

The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:

a x (b + c) = (a x b) + (a x c)

In the given equation, we have:

6 x (22 + 9) = 6 x 22 + 6 x 9

By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:

6 x 22 + 6 x 9

This simplifies to:

132 + 54

Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.

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Solve for x. 24= -4(x-1)

Answers

Answer:24 = 24x

Step-by-step explanation:Cross multiply:

2 * 12 = x * 24

Simplifying

2 * 12 = x * 24

Multiply 2 * 12

24 = x * 24

Reorder the terms for easier multiplication:

24 = 24x

Solving

24 = 24x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24x' to each side of the equation.

24 + -24x = 24x + -24x

Combine like terms: 24x + -24x = 0

24 + -24x = 0

Add '-24' to each side of the equation.

24 + -24 + -24x = 0 + -24

Combine like terms: 24 + -24 = 0

0 + -24x = 0 + -24

-24x = 0 + -24

Combine like terms: 0 + -24 = -24

-24x = -24

Divide each side by '-24'.

x = 1

Simplifying

x = 1

VwnWowww.» www
FIRST PRESIDENT
OF THE UNITED
STATES IS ELECTED!
1
Which Virginian is being described in the headline above?
A Thomas Jefferson
B George Washington
с
Patrick Henry
D
George Mason
А
А
B
B

Answers

Answer:

George Washington.

Step-by-step explanation:

The first president of the United States was George Washington. Patrick Henry and George Mason where never elected President. Thomas Jefferson was the Third President. John Adams (not a choice in your question) was the second President.

Pls help me
I will give brainliest

Answers

Answer:

I am you helper

Step-by-step explanation:

solve for x.
help pls im stressed

Answers

Dont be Stressed Im here

X=6


I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?

Answers

Answer:

Kindly refer to the attachment

Thank U Next

A TV originally priced at $800 was reduced to $600. What was the percentage discount given?

Answers

Answer:

20%

Step-by-step explanation:

20%off

800=100%
600=80%
100%-80%=20%

Need help will mark Brainliest

Answers

Answer:

53

Step-by-step explanation:

A ladder leans against the side of the house. The angle of elevation of the ladder is 61 degrees when the bottom of the ladder is 12ft from the side of the house. Find the length of the ladder.

Answers

Answer:

732

Step-by-step explanation:

Melinda has a 598-page book. If she reads 26 pages each day, how many days will it take for her to finish reading the book?

Answers

Answer:

23 days

Step-by-step explanation:

How much will you have contributed to a Whole Life insurance policy that has a face value of $60,000 over a 40-year
period, given that the permanent insurance amount for a healthy 30-year-old male is $18.54 per thousand.
a $1,112.4
$60,000
Б. $44,496
$533,952
C.
d
Please select the best answer from the choices provided
O O O O

Answers

Answer: The answer is $44,496. I got it right on the test. Sorry that I was late...

Step-by-step explanation:

:)

Marcia biked 600 meters on friday. On saturday ,she biked 5 kilometers. On Sunday, she biked 2 kilometers, 500 meters. How many kilometers did Marcia bike over the three days?​

Answers

Answer:

10.4

Step-by-step explanation:

So let's do the basic, adding. 5 kilometers on Saturday and 4 on part of Sunday. That's 9. So let's save that. Now for the meters. We know that there are 1000 meters in a kilometer. So add up 600 and 800. That gives you 1400 meters total. Now if we divide 1400 by 1000, we get 1.4. So that is how many kilometers he rode on Friday and and the other part of Sunday. SO now we just add everthing up. 9km+1.4km = 10.4, your answer

pls help me on this.......​

Answers

The answer is the bottom one, 5y + 9

PLEASE HELP ASAP VERY URGENT WILL GIVE BRAINLIEST

Answers

Answer:

40%

Step-by-step explanation:

You can do 14 divided by 35 to get the decimal 0.4.

Then you multiply 0.4 by 100 because percent is always 100

40%

Hoped I helped

Emily drives 186 miles in 3 hours. What is her average speed? Give your answer in mph

Answers

186 divided by 3 = 62mph

Emily's average speed will be 62 mph for the trip

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

Emily travels 186 miles in three hours.

To determine Emily's average speed, we can divide the distance she traveled by the time it took her to travel that distance. Her average speed would be:

⇒ average speed = distance / time

⇒ average speed = 186 miles / 3 hours

Apply the division operation, and we get

⇒ average speed = 62 mph

This is Emily's average speed for the trip.

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express the area of the entire rectangle​

Answers

Answer: x^2 +6x +2x +36 = X^2 +8x + 36

Step-by-step explanation:

Answer:

x² + 8x + 12

Step-by-step explanation:

(x × x) + (x × 6) + (x × 2) + (6 × 2)

x² + 8x + 12

good luck, i hope this helps :)

Pls help extra points and mark brainlist

Answers

Answer:

g=7

Step-by-step explanation:

7-9=2

2x7=14

14+12=26

Answer:

g = 11

Step-by-step explanation:

26 = 7(g - 9) + 12

Insert 11 to the g place:

26 = 7(11 - 9) + 12

11 - 9 = 2

7 · 2 = 14

14 + 12 = 26

Find the volume
I really need your help

Answers

Answer:

[tex] V_{total} = 26460 \pi~cm^3 [/tex]

[tex] V_{total} = 83127~cm^3 [/tex]

Step-by-step explanation:

The solid is made up of 2 cones and a cylinder.

Upper cone:

radius = 21 cm

height = h_1 = 70 cm - 35 cm = 35 cm

Cylinder:

radius = 21 cm

height = h_2 = 35 cm

Lower cone:

radius = 21 cm

height = h_3 = 40 cm

[tex] V_{total} = V_{upper~cone} + V_cylinder} + V_{lower~cone} [/tex]

[tex] V_{total} = \dfrac{1}{3} \pi r^2 h_1 + \pi r^2 h_2 + \dfrac{1}{3} \pi r^2 h_3 [/tex]

[tex] V_{total} = \dfrac{1}{3}(\pi)(21~cm)^2(35~cm) + (\pi)(21~cm)^2(35~cm) + \dfrac{1}{3}(\pi)(21~cm)^2(40~cm) [/tex]

[tex] V_{total} = \dfrac{1}{3}(\pi)(441~cm^2)(35~cm) + (\pi)(441~cm^2)(35~cm) + \dfrac{1}{3}(\pi)(441~cm^2)(40~cm) [/tex]

[tex] V_{total} = (147~cm^2)(35~cm)(\pi) + (441~cm^2)(35~cm)(\pi) + (147~cm^2)(40~cm)(\pi) [/tex]

[tex] V_{total} = 5145\pi~cm^3 + 15435\pi ~cm^3 + 5880\pi~cm^3 [/tex]

[tex] V_{total} = 26460 \pi~cm^3 [/tex]

[tex] V_{total} = 83127~cm^3 [/tex]

Hey so she Emily has 6 eggs she needs 2/3 of the eggs to make an omelette how many eggs does she need

Answers

Answer:

she needs four eggs for her omelette

Step-by-step explanation:

2/3 of a cup is 10 table spoons ans 2 teaspoons

Help me quick I need a good grade

Answers

1.) This one is easy. The answer to this one is that the input is being multiplied by 3.

Proof: 1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

2.) The answer is 12 because 4 x 3 = 12.

1.) A toy store offers an additional 25% discount on board games that have already been
reduced by 30%. Will the final cost be the same as a discount of 55 %on the original price?
Use an example with an original cost of your choice to help explain your answer.

Answers

Answer:

Yes 25% + 30% =55%

Step-by-step explanation:

yes because 25+30 =55

The final cost not be same as 55% discount.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A toy store offers an additional 25% discount on board games that have already been reduced by 30%.

let the the price of toy be $100.

So, the price after 30% discount

= 100 - 100 x 0.30

= 100 - 30

= $70

and, additional 25% discount

= 70 - 70 x 0.25

= $52.5

Now, if discount is 55% then price would be

= 100 - 100 x 0.55

= $45

Hence, the case is not same.

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What is the total area of the figure below?
answer fast pls 20 pts! <3

Answers

≻───── ⋆✩⋆ ─────≺

Answer:

First, find the area of rectangle.

20 × 30 = 600

Next multiply the square

10 × 10 = 100

Now the curve.

[tex]\frac{10 * 10 = 100}{2}[/tex]

100/2 =50

Then Add all of it.

[tex]600 + 100 + 50 = 750[/tex]

[tex]Area = 750[/tex]

Hope this helps!

-Fishylikeswater

What is x equal to in the equation 10+x=5(1/5x+2)

Answers

Answer:

30

Step-by-step explanation:

Theorm

Please help solve this.

Answers

Answer:

x= 8.9 cm

Step-by-step explanation:

First, since we know that the radius of the circle is 5 centimeters, we know that the diameter of the circle and the hypotenuse of the triangle is 10 centimeters long. Then you use the pythagorean theorem to find out the length of side x. The equation would be: 4.5^2 + x^2= 10^2. Next, you simplify the equation by squaring the squares to get. 20.25 + x^2= 100. Finally, you would subtract 100 and 20.25 to get 79.75 and take the square root of that number to get your x value. x= [tex]\sqrt{79.75}[/tex]. When you do this equation you come out with x=8.93028554975 and then round it to the nearest tenth which is 8.9 cm.

The point (4, -2) is reflected over the y-axis. What are the coordinates of its image?

Answers

Answer:

(-4, 2)

Step-by-step explanation:

when its reflected across the y-axis it goes from (x, -y) to (-x, y)

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