Find the x-value for point C such that AC and BC from a 2:3 ratio.

Find The X-value For Point C Such That AC And BC From A 2:3 Ratio.

Answers

Answer 1

Given:

Point C divides AB such that AC:BC=2:3.

To find:

The x-value for point C.

Solution:

Section formula: If a point divide a line segment in m:n, then

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

Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).

Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are

[tex]C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)[/tex]

[tex]C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)[/tex]

[tex]C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)[/tex]

[tex]C=\left(-0.6,3\right)[/tex]

The x-value of C is -0.6.

Therefore, the correct option is B.


Related Questions

Reduce to simplest form. -\dfrac{1}{3}-\left(-\dfrac{3}{5}\right)=− 3 1 ​ −(− 5 3 ​ )=minus, start fraction, 1, divided by, 3, end fraction, minus, left parenthesis, minus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals

Answers

Answer:

-1/3 - (-3/5) = 4/15

Step-by-step explanation:

Reduce to simplest form

-1/3 - (-3/5)

= -1/3 + 3/5

Find the Lowest Common Multiple of 3 and 5

Lowest Common Multiple of 3and 5 is 15

Use the LCM to Simplify

= {(-5*1)+(3*3)} / 15

= (-5+9) / 15

= 4/15

Therefore,

-1/3 - (-3/5) = 4/15

Answer:

-4/15

Step-by-step explanation:

I NEED HELP NOW PLEASE
Which decimal represents the portion that is NOT shaded?

0.003

0.03

0.3

3.0

Write how u solved it

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

3.0

Step-by-step explanation:

Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.

0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.

0.03 is also known as 3 hundredths, meaning  that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.

0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.

This leaves us with 3.0

If Jack worked 31.5 hrs each week,
a) how many hours would he have worked in an entire year?

Calculation :
Answer:

Answers

Answer:

11497.5

Step-by-step explanation:

31.5x365=11497.5

Answer:

1638 hours

Step-by-step explanation:

A collector’s item is purchased for $150 and its value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double?

Answers

Answer:

The answer is B

Step-by-step explanation:

your welcom

Answer:

B

Step-by-step explanation:

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.

No money was deposited into or withdrawn from the account.

What was the annual interest rate?

Enter your answer in the box.

Answers

Answer:  8.5%

Step-by-step explanation:

Formula : Simple interest = (Principal) x (annual interest rate) x (Time)    (i)

Given: Principal : P = $ 17,500

Time : 2 years

Simple interest : I = $ 2975

Let r = annual

[tex]2975=17500\times(r)\times(2)[/tex]

[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]

Hence, The annual interest rate was 8.5%.

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.

What does the point (0, 0) on the graph represent?

The cost of one bag of peanuts
The cost of zero bags of peanuts
The cost of two bags of peanuts
The cost of three bags of peanuts

Answers

Answer:

Maybe three bags of peanuts? I'm not sure because I was looking for an answer not trying to answer the same question I've been stuck on for ages-

WAIT IT IS THREE-

In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3} 3 1 ​ of an hour. His swimming partner, Mila, swam \frac {2}{3} 3 2 ​ of Logan's distance in \frac {1}{4} 4 1 ​ of an hour. what is milas average speed

Answers

Answer:

2 km/hr

Step-by-step explanation:

Distance traveled by Logan = 750 m = 0.75 km = [tex]\frac{3}{4}\ km[/tex]

Time taken by Logan = [tex]\frac{1}{3}\ hours[/tex]

To calculate the speed using time and distance, following formula is used:

[tex]\text{Average Speed =} \dfrac{\text{Total Distance}}{\text{Total Time}}[/tex]

Speed of Logan :

[tex]\dfrac{\frac{3}{4}}{\frac{1}{3}}\\\Rightarrow \dfrac{9}4\ km/hr[/tex]

Distance traveled by Mila = [tex]\frac{2}{3}[/tex] of Logan's distance:

[tex]\frac{2}{3}\times \frac{3}{4} = \frac{1}{2}\ km[/tex]

Time taken by Mila = [tex]\frac{1}{4}\ hr[/tex]

As per formula above:

Average Speed of Mila is given as:

[tex]\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow \bold{2 km/hr}[/tex]

can someone check my answers plz

Answers

Answer:

its right

can i have brainliest please

Answer:

I got the same answers as you

A 40-foot wire is attached to a pole and runs to the ground as shown below.
The pole is 35 feet tall.
About how far away from the pole is the wire attached to the ground?

Answers

Answer:

5 feet away

Step-by-step explanation:

i am not sure but did mental math

Can somebody help me on this one

Answers

Y= -3x+5
Hope it help
I see they got got the answer^ I’m just answering for points have a nice day :) I hope ur doing good

What is the slope of the line that passes through the points (-2, 8)and (−22,8)? Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

Horizontal/Vertical lines like this one always have a slope of 0 Because its just a straight line.

Feel free to mark as brainliest

lmk if im wrong

y2-y1 / x2-x1

-22,-2 / 8 - 8
-20/0?

Find the slope of the line represented by the table of values.
A) 1/2
B) 2
C) -1/2
D) -2

Answers

Answer:

I'm pretty sure its C sorry if I'm wrong.

Slope: (y2-y1)/(x2-x1)
Pick points: (-5,10),(-3,6)
(6-10)/(-3+5) = -4/2 = -2
The slope is -2

If you have 4 pennies, 8 nickels, and 6 dimes, which represents the ratio of nickels to dimes.

Answers

Answer:

8:6 (have a good day)

Step-by-step explanation:

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Yes they’re both right angles and to get either triangle you divide or multiply by 1/2 or 2

Joey has 40 chocolate bars. He gave 30 away. How many does he have?

Answers

Your answer is 10.

40-30=10

Have a nice day/night!!!

Answer:

10....... and friends with diabetes

Step-by-step explanation:

Matthew invested $2,000 in a compound interest account for 3 years. The interest rate was 5%. How much money would it be in the end of third year in Mattew's account?

Answers

Answer:

$2,315.25

Step-by-step explanation:

2000 x 0.05 = 100

2000 + 100 = 2100

After year one: 2100

2100 x 0.05 = 105

2100 + 105 = 2205

After year two: 2205

2205 x 0.05 = 110.25

2205 + 110.25 = 2315.25

After year three: 2315.25

Solve the equation.
5 days = how many hours

Answers

Answer:

120

Step-by-step explanation:

There's 24 hours in a day

24 times 5 equal 120

12 points please help :(

Answers

rAnswer is B if im right

I’ll give brainleyyyyyyy

Answers

Answer:

0, -2, 2, -1

Step-by-step explanation:

You are trying to make it so that the one of the (  )= 0.

An example is (x+15) or (2x+3)

the first l one would be x= -15 since -15+15 would equal 0.

The second one is -3/2 since it would be -3+3 which would equal 0.

also since the equation starts with x( or -x it doesn't really matter) one of the zeros would also be 0.

Hope this helps!

Find each amount:



3.8% of 25

Answers

Answer:

0.95

Step-by-step explanation:

3.8 % of 25 is equal to 0.95.

To find 3.8 % of 25, we can calculate it using the following formula : Amount = ( Percentage / 100 ) * Base.

In this case, the percentage is 3.8 and the base is 25.

Using the formula , we have : Amount = ( 3.8 / 100 ) * 25.

First, we divide 3.8 by 100, which gives us 0.038. Then, we multiply 0.038 by 25 to find the amount.

Calculating, we have : Amount = 0.038 * 25 = 0.95.

Therefore, The value of 3.8 % of 25 is equal to 0.95.

Learn more about percentage here

https://brainly.com/question/1214133

#SPJ6

I know I haven't been on this app for a long time but can ya'll help me plzz

Answers

Answer:

2774

Step-by-step explanation:

If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.

Answers

f(x) = 7(x-1)+8, so f(1) = 7(1-1)+8 [sub the x value in] = 7-7+8 = 8

Answer:

7x+1

Step-by-step explanation:

Use the distributive property to multiply 7 by x−1.

7x−7+8

Add −7 and 8 to get 1.

7x+1

Evaluate 50 + 5/13p when p= -26

Answers

Answer: it’s 40

hope this helps :)

Step-by-step explanation:

Just substitute the variable with the number and use pemdas.

First you have to multiply 5/13 by -26, then add 50 to what you get.

what is the slope of the line y = 20x ​

Answers

Answer:

20

Step-by-step explanation:

The slope formula is y= mx+b

m= slope

x= x (the variable)

b= y-intercept

in this case, 20 would be m in the formula.

remember slope is rise/run. (Rise up, then go left or right)

hope this helps :)

Write an equation in point-slope form that goes through the point (-2,5) and has a slope of 6.

Answers

Point slope: y-y1 = m(x-x1)
y-5 = 5(x+2)

Joseph's lunch was 13 dollars without tax, he leaves the water a tip of 17% of the cost, without tax. What is the total cost of the lunch, including the tip, without tax

Answers

Answer:

17% of 13 is 2.21

13 + 2.21 = 15.21

Step-by-step explanation:

180.2
2. The sum of the measures of the interior angles of a convex polygon is 3060°.
Classify the polygon by the number of sides.

Answers

Answer:

enneadecagon

Step-by-step explanation:

Please help me out!

Answers

Answer:

c

Step-by-step explanation:

What are the domain and range of each relation?

Drag the answer into the box to match each relation

Answers

Answer:

For the mapping diagram, drag the first answer choice and drop.

For the table one, drag the second answer choice and drop.

Step-by-step explanation:

marking brainliest to whoever gives me the right andwe

Answers

-1 + 14x = 12x +17
x = 9
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