A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C
Write your answer as a coordinate point.
Do not include spaces in your answer.
Write your answer as a decimal if necessary.

Answers

Answer 1

Answer:

[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]

Step-by-step explanation:

Given

[tex]A = (1,3)[/tex]

[tex]B = (8,4)[/tex]

[tex]AC : BC = 4 : 1[/tex]

Required

Determine the coordinates of C

To do this, we make use of:

[tex]C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})[/tex]

Where:

[tex]A = (1,3)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]B = (8,4)[/tex] ---- [tex](x_2,y_2)[/tex]

[tex]m:n = 4 : 1[/tex]

So:

[tex]C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})[/tex]

[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]


Related Questions

Alex and 4 friends are playing baseball on the same team. Each time they play a game, they switch the batting order to a sequence that has not yet been used. What is the maximum number of games they can play before they have to repeat a batting order they have already used?

Answers

Answer:

120.

Step-by-step explanation:

Since Alex and 4 friends are playing baseball on the same team, and each time they play a game, they switch the batting order to a sequence that has not yet been used, to determine what is the maximum number of games they can play before they have to repeat a batting order they have already used, the following calculation must be performed:

1 x 2 x 3 x 4 x 5 = X

2 x 3 x 4 x 5 = X

6 x 4 x 5 = X

24 x 5 = X

120 = X

Thus, the maximum number of games they can play before they have to repeat a batting order they have already used is 120.

What is the volume of the following rectangular prism?​

Answers

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. The answer is 33 i believe

Step-by-step explanation:

What is the area of the triangle?
6
2
3

Answers

Answer:

6

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

2² + b² = 3²

4 + b² = 9

5 = b²

2.2 ≈ b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(2 x 2.2)

1/2(4.4)

2.2

Calculate the area of the bigger triangle:

We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.

1/2(bxh)

1/2(2 x 3.8)

1/2(7.6)

3.8

Add both areas to find the area of the largest triangle:

3.8 + 2.2 = 6

Solve for x.
X -8 = -11

PLZ I NEED ANSWER ASAP

Answers

move -8 to the other side n it becomes positive
x=-11+8
x=-3

Answer:

i had this text by ms putz u prob know her she ur teacher that answer is -3 because if you subtract -8 from -11  you will get -3

Step-by-step explanation:


Ms. Howard is companing the cost to attend two different preschools.
Pencil
0 Clear
Preschool A charges a $40.00 registration fee plus $5.00 per day of attendance.
Preschool B does not charge a registration fee but charges $7.50 per day of attendance.
.
At what number of days will the cost of attendance be the same for both preschools?
3 days
6 days
16 days
None above

Answers

Answer:

6 days

Step-by-step explanation:

its 6 days

if you need extra points (50 points) and brainiest answer this correctly plz

Answers

Answer:

D) 500 square feet

Step-by-step explanation:

20x40=800

30x10=300

800-300=500

Answer:

500 square feet

Step-by-step explanation:

Walk way A=bh

A=40 times 20

A=800

garden

A=30 times 10

A=300

Now subtract walkway from the garden. 800 - 300= 500

Please help!!! I need to get this done by today really soon but I’m really confused.

Answers

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

- my friend wrote her name Esperanza~!

Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D

Answers

A B and D

A & D are known as irregular polygons

655,325 to the nearest hundred thousands

Answers

Answer:

700,000

Step-by-step explanation:

55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.

Answer:

655,325

Step-by-step explanation:

Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.

A garden has four sides that are all the same length. Each side measures x + 5 units. The garden’s perimeter is 144 units. What is the value of x?


Show your work for full points or brainlyest answer

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(X+5) = 144   (if on side measures (x+5)  then P will be the 4 sides added

                        so adding the same value repeatedly means multiplication.

 -  Distribute:  4x + 20 = 144

-     Inverse op. to isolate the variable minus 20 from both sides

-     4x = 124

-     Divide by 4 on both sides

-      124/4 = 31

-      x = 31 units

12+16q-q and q=2 evaluate

Answers

Answer:q=0,\:q=-16

Step-by-step explanation:

Jake needs a new camera for school. He has already saved $110 and he earns $9 per hour in a photography internship.
If the equation s = 9h + 110 represents that relationship, how many hours will he need to work (h) in order to save (s) $425 to purchase
his camera?


Help

Answers

35 Hours

Explanation: Put 425 in for s the variable needed to be saved. Then solve like a regular equation. Step-by-step in the photo below.

How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.

A(t) = P (1+r/n)nt

Answers

The interest: $1080.00

If you borrowed the money, you would now owe $1580.00

If you loaned someone the money, you would now be due $1580.00.

Hopefully this helps!

The original cost of a piano is $19,100, and it is on a sale for 19% off its original price. If the total cost includes a 5% sales tax, the total cost of the piano is ____________.

Answers

Answer: $16,244.55

Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55


Find surface area of the prism.
5 m
18 m
4 m

Answers

Answer: 27m

Step-by-step explanation:

1. Use the triangle below to determine the values indicated:

Answers

Answer:

A. Sine Y = 20 / 29

B. Cos Y = 21 / 29

C. Tan Y = 20 / 21

D. Sine Z = 21 / 29

E. Cos Z = 20 / 29

F. Tan Z = 21 / 20

Step-by-step explanation:

A. Determination of Sine Y

Opposite = 20

Hypothenus = 29

Sine Y =?

Sine Y = Opposite / Hypothenus

Sine Y = 20 / 29

B. Determination of Cos Y

Adjacent = 21

Hypothenus = 29

Cos Y =?

Cos Y = Adjacent / Hypothenus

Cos Y = 21 / 29

C. Determination of Tan Y

Opposite = 20

Adjacent = 21

Tan Y =?

Tan Y = Opposite / Adjacent

Tan Y = 20 / 21

D. Determination of Sine Z

Opposite = 21

Hypothenus = 29

Sine Z =?

Sine Z = Opposite / Hypothenus

Sine Z = 21 / 29

E. Determination of Cos Z

Adjacent = 20

Hypothenus = 29

Cos Z =?

Cos Z = Adjacent / Hypothenus

Cos Z = 20 / 29

Determination of Tan Z

Opposite = 21

Adjacent = 20

Tan Z =?

Tan Z = Opposite / Adjacent

Tan Z = 21 / 20

I rlly need help with these two questions so I would rlly appreciate it if someone helped me out loll I will mark you as brainliest if you answer this correctly pls and ty​

Answers

Answer:

B and D

Step-by-step explanation:

As you can see in the first problem, the dots are going upward in an upwards pattern from left to right. If its going upwards, it is positive. Negative would be going down, and no correlation would be all over the place, yet the dots are precise. As for the second problem, it is once again going upwards, so this is showing an increase.

Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4

Answers

Let t rep tail and h rep head

First tose= h or t

Second tose= h or t

Third tose= h or t

Counting the head and tail together

Then t= 3 and h=3

According to The formulae

3/6= 1/2

MK=24, JL= 20, And m

Answers

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

please help me with this question

Answers

Answer: c. f - 3 + 6d

Explanation: 5d - d + 4 + 2d - 5f - 6f - 7
- 5f - 6f = f
4 - 7 = -3
5d - d = 4d, 4d + 2d = 6d

The function g(x) is defined as shown.



StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout

What is the value of g(0)?

−2
−1
3
6

Answers

Answer:

B:-1

Step-by-step explanation:

Just took test 2021

Answer:

Step-by-step explanation:

The given function is a piecewise function with characteristics that vary with the value of x.

Please find attached the graph of h(x).

Reasons:

The given information is presented as follows;

From the above piecewise function, we have;

For x ≤ 0, the slope of the graph of h(x) =

For 0 < x ≤ 3, the slope of the graph of h(x) =

For x ≥ 4, the slope of the graph of h(x) =

Therefore, as we progress from left to right, the slope of h(x) increases and

the slope of the graph becomes steeper.

The graph of h(x) is plotted with the given equations using MS Excel as

shown in the attached diagram.

Please help!
Note that common contexts are listed toward the top, and less common contexts are listed toward the bottom. According to O*NET, what are common work contexts for Film and Video Editors? Check all that apply.

(1) extremely bright or inadequate lighting
(2) spend time sitting
(3) exposed to disease or infections
(4) indoors, environmentally controlled
(5) face-to-face discussions
(6) deal with physically aggressive people

Answers

Answer:

2,4,5 got it right on egde2021

Step-by-step explanation:

What three dimensional shape is made when you rotate a triangle horizontally?

Answers

Answer:

When you rotate a triangle horizontally, a cone is formed.

hii they asked this again but in cm ​

Answers

Answer:

9 + 9 + 3 + 3 = 24

P = 24 cm

9 x 3 = 27

A = 27 square cm

(I think those are the answers, hope it helps <3 )

The current i in ameperes at time t in a particular circuit is given by i=12 sin 5 cos t find the maximum current​

Answers

Answer:

fart

Step-by-step explanation:

what's the domain and range​

Answers

domain: x>0
range: -infinite

Please help I want to make sure that I’m doing this right

Answers

Exterior angle of a triangle = sum of two opposite angles of the exterior angle
138 = x + 55
138 -55 = x
x = 83

Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x

Answers

Answer:

139

Step-by-step explanation:

x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3

= 9 + 125 + 5

= 139!

What is the diameter of a sphere with a volume of 616 ft", to the nearest tenth of a
foot?

Answers

Answer:

Rounded to the nearest tenth: 10.6

Answer not rounded: 10.56

Step-by-step explanation:

Is it 1,2,3 or 4
Look at the picture.
Thank u!

Answers

Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

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