Emily draws point C on the line segment so that the ratio of AC to CB is 3 to 1. What are the coordinates of Point C?


a. (-2,2.5)

b.(-1,2)

c.(3,0)

d.(4,-0.5)​

Emily Draws Point C On The Line Segment So That The Ratio Of AC To CB Is 3 To 1. What Are The Coordinates

Answers

Answer 1

Answer:

d.(4,-0.5)

Step-by-step explanation:

We are given that the ratio of AC to CB

AC:CB=3:1

[tex]m_1=3,m_2=1[/tex]

From given figure

The coordinates of A are (-5,4)

The coordinates of B are (7,-2)

We have to find the coordinates of C

Section formula:

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Using the formula

The coordinate of point C are

[tex]x=\frac{3(7)+1(-5)}{3+1},y=\frac{3(-2)+1(4)}{3+1}[/tex]

[tex]x=\frac{16}{4},y=\frac{-1}{2}[/tex]

[tex]x=4,y=-0.5[/tex]

Hence, the coordinate of point C are (4,-0.5)

Option d is true.


Related Questions


What are the
coordinates of
the outlier in the
scatterplot
shown?

Answers

Answer:

6,4

Step-by-step explanation:

F is the whole way out there, away from all the other dots and has a 6,4 coordinate.

6,4 I think I’m not sure

21 The graph of an exponential function is shown on the grid.
Based on the graph, which statement about the function is true?
A The range is the set of all real numbers less than 0.
B The domain is the set of all real numbers greater than-4.
C The range is the set of all real numbers greater than 0.
D The domain is the set of all real numbers less than-4.

Answers

Answer:

C The range is the set of all real numbers greater than 0.

Step-by-step explanation:

We see that the function has positive range and no restriction of domain.

A The range is the set of all real numbers less than 0.

Incorrect, positive values only

B The domain is the set of all real numbers greater than-4.

Incorrect, the domain can get any value

C The range is the set of all real numbers greater than 0.

Correct, the range is restricted to positive values

D The domain is the set of all real numbers less than-4.

Incorrect, no restrictions

Answer:

C is the correct answer!!

Step-by-step explanation:

hope this helped!!

I NEED HELP PLZ , i’m stuck and i don’t get it

Answers

Answer:

Step-by-step explanation:

2x+6+2x+6+2x+6=180

why, bc they all have equal sides

6x+18=180

6x=162

x=27

what is 125% of 12.8

Answers

What is 125 percent (calculated percentage %) of number 12.8? Answer: 16.

The required value of the given percentage is 16. "125%" represents 125 parts out of 100, which is equivalent to 1.25 times the original value.

To find 125% of 12.8, we can multiply 12.8 by 1.25.

First, we convert the percentage to decimal form by dividing it by 100. So, 125% becomes 1.25.

Next, we multiply 12.8 by 1.25:

12.8 × 1.25 = 16.

Therefore, 125% of 12.8 is 16.

Multiplying 12.8 by 1.25 increases it by 25% or adds one-quarter of the original value. Thus, the result of 16 represents an increase of 25% from 12.8.

Thus, the required value of the given percentage is 16.

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Given that £1=$1.62

b) How much is $1405 in £?

Please help

Answers

Answer:

No b answer is 867.2839506173£ will be of $1405

Divide $1405 by $1.62 will give you £867.28. That is your answer. Does that help your predicament?

Brandon has 6 eggs. He needs 2/3 of the eggs to make an omelet. How many eggs does he need?

Answers

Answer:

4

Step-by-step explanation:

He need 4 eggs to make an omelet.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Brandon has 6 eggs.

And, He needs 2/3 of the eggs to make an omelet.

Here, Number of eggs = 6

And, He needs 2/3 of the eggs to make an omelet.

Hence, We get;

Number of egg to make an omelet = 2/3 of 6

                                                      = 2/3 × 6

                                                      = 4

Thus, Number of eggs to make an omelet = 4

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The planet Mercury takes 56.6 Earth days to rotate once about axis. About how many times does it rotate about its axis during one Earth year?

Answers

Answer:

6.3

Step-by-step explanation:

56.6÷365=

6.3

If x = 5y - 1 and 2x + 5y = -32, what is the value of y?​

Answers

Answer:

y = 2 and five together

Step-by-step explanation:

Find the vertex following equation: x2 + 10x = 21

A: (5, -46)
B: (-5, 54)
C: (-5, -46)
D: (5, 54)

Answers

i thinks that something is wrong i don't get you answers but i checked my task twice.

Select the correct answer.
What is the end behavior of this radical function?

Answers

Answer:

A.

Step-by-step explanation:

As x approaches positive infinity, f(x) approaches positive inifinty.

Write an expression for the total amount Carla has paid after a certain number of months

Answers

Answer:

$25.00+$36.00m

Step-by-step explanation:

David has 6 blue shirts and 4 red shirts. Write the ratio of David's red shirts to
total shirts as a fraction in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

4/10 is the original but it simplifies to 2/5

Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?

Answers

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

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.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

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3. Andrea is buying snacks at the basketball game. The snacks are $2.25 apiece. She wants to buy 4
snacks. Would the ordered pair (4,9.25) be a solution to this problem? Explain why or why not.
If this is not a solution, provide the correct solution for an x-value of 4.
a) Yes
b) No, the ordered pair (9,4) is a solution to this problem.
c) No, the ordered pair (4, 1.77) is a solution to this problem
d) No, the Ordered pair (4,9) is a solution to this problem.

Answers

Answer:

D - No, the ordered pair (4,9) is a solution to this problem.

Step-by-step explanation:

If you plotted the number of snacks as the x-axis, and then the total cost of the snacks on the y-axis, you would be able to graph a line and see the cost of snacks based on the number purchased. If you were going to write an equation for this, it would be y=2.25x (or y = 2 1/4 x)

In this case, as each snack is the same price, the y-values for each x would be as such: (1, 2.25) <- one snack, $2.25;

(2, 4.5)

(3, 6.75)

(4, 9)

So that is why the ordered pair of (4,9) would be a solution to this problem.

Hope that makes sense!

Carlos purchased 6 dog leashes and 5 cat brushes for $32. Later in the summer, he purchased 3 more dog leashes and 2
cat brushes for $14. What were the prices of the leashes and brushes?

Answers

Answer:

all together the total amount of money spent was 46$

Step-by-step explanation:

I really need help with this question.
A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are each 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them.
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?

Answers

Answer:

I also need the answer

Step-by-step explanation:

Carlo wants to join the gym.The gym offers three membership options 1.Pat as you go. 2.All in one price. 3.Regular deal

Answers

Answer:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

1. $120  = Pay as you go

2. $90 = Regular Deal

3. $100 = All in one price.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

Step-by-step explanation:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

Question Complete: Carlo wants to join the gym. The gym offers three membership options

1.Pay as you go = Pay only $6 each time you work out

2.Regular deal = Pay $50 a month and $2 each time you work out

2.All in one price = Pay one time $100 per month for unlimited use of our great facilities.

Carlo thinks he will go to the gym about 20 times a month.

Calculate how much each of these options would cost Carlo for one month.

Solution:

Option 1. Pay as you go:

Each time gym fee = $6

Carlo thinks he will go to gym 20 times a month

So,

Cost for option 1 = $6 x 20 = $120

Option 2. Regular deal:

$50 a month + $2 each time

So, Carlo thinks he will go to gym 20 times a month

Cost for option 2 = $50 + 20x(2$) = $90

Similarly,

Option 3. All in one price:  

Fee = one time $100 per month.

Cost for option 3 = $100 per month

Because there is not any each time visit fee in this option, so whether Carlo go to gym 20 times or 30 times a day. he will be charged a fixed fee of $100 a month.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

Factor using GCF then AC:
9x2 - 39x - 30

Answers

Answer:

3(x^2-13x-10)

Step-by-step explanation:

You can only factor out 3, as that is the only thing these have in common.

7g+9g=

i need this asap

Answers

Answer:

16g

Step-by-step explanation:

add them together

Answer:

16g

Step-by-step explanation:

They both have the same variable so they can be added together.

I need help in this question

Answers

Answer:

y/x

Step-by-step explanation:

i will mark u as the brainlest if you can help me with 4 question

Answers

Answer:

B, C, D

Step-by-step explanation:

They have the < or > they are inequalities

the table shows ordered pairs for a polynomial function, f. What is the degree of f?

Answers

Answer:

5th degree

Step-by-step explanation:

To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense

eremy constructed this solid by combining two rectangular prisms and a square pyramid.

A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.


What is the surface area of this figure?

_____________ square meters
320
322
368
386

Answers

368 square meters is the answer

The perimeter of a square is 68 inches. Write and solve an equation to find the length of its sides.

Answers

Answer:

17

Step-by-step explanation:

68/4=17

all 4 sides are equal lengths since it is a square.

Answer:

Step-by-step explanation:

68+68+68+68= (or 68x4) 272 inches

Calculate the slope of the line on the graph using the
formula:
72-V1
m
X2 - X
The slope of the line is
_____m/s.

Answers

Given:

The graph of a line which represents position (m) at time (s).

To find:

The slope of the line.

Solution:

Formula for slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through two points (0,0) and (1,4).

Using the above formula, we get

[tex]m=\dfrac{4-0}{1-0}[/tex]

[tex]m=\dfrac{4}{1}[/tex]

[tex]m=4[/tex]

Therefore, the slope of the line is  4 m/s.

Answer:

4

Step-by-step explanation:

What is the axis of symmetry for the graph of y = -2x + 16x - 7?
O x= -8
O x = 8
O x=-4
O x = 4
I need the answer

Answers

Answer:

The axis of symmetry for the graph of y = -2x² + 16x - 7 will be:

x = 4

Hence, the last option i.e. x = 4 is the correct option.

Step-by-step explanation:

Given the equation

[tex]y\:=\:-2x^2\:+\:16x\:-\:7[/tex]

For a parabola in standard form y = ax² + bx + c

The axis of symmetry is the vertical line that goes through the vertex x = -b/2a

so

The axis of symmetry for y = ax² + bx + c is x = -b/2a

In our case,

[tex]a=-2,\:b=16[/tex]

Therefore,

x = -16/2(-2)

x = -16 /-4

x = 16/4

x = 4

Therefore, the axis of symmetry for the graph of y = -2x² + 16x - 7 will be:

x = 4

Hence, the last option i.e. x = 4 is the correct option.

Work out the percentage change to 2 decimal places when a price of £125.99 is increased to £150.

Answers

Answer:

Percent change is 19.06%

Step-by-step explanation:

It is given that:

Price before change = £125.99

Price after increase = £150

Change = 150 - 125.99 = £24.01

Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]

Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]

Percent of change = 0.1906 * 100

Percent of change = 19.06%

Therefore,

Percent change is 19.06%

Answer:

19.06

Step-by-step explanation:

What is the definition of acre

Answers

Answer:

The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)

Step-by-step explanation:

Answer:

a unit of land area equal to 4,840 square yards

Step-by-step explanation:

how do i do
x^2 - 7x - 34 = 10
^ = power to
can u answer this now please its urgent i only got 2 mars how do i get the other 2 marks and the bottom bit of the question got me 2 marks thew top bit didnt get me anything

Answers

Answer:

x = 11 / x = - 4

Step-by-step explanation:

x² - 7x - 34 = 10

x² - 7x - 34 - 10 = 10 - 10

x² - 7x - 44 = 0

x² + 4x - 11x - 44 = 0

x (x + 4) - 11 ( x + 4) = 0

(x - 11)(x + 4) = 0

(x - 11) = 0 / (x + 4) = 0

x = 11 / x = - 4

Hope that helps! (If it doesn't, please tell me what you want me to answer or explain, or how I can improve the answer.) :)

Can someone really help me please

Answers

Answer:

a

Step-by-step explanation:

Answer:

I'm not really sure but i think it is A

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