Directed line segment porque is shown on the coordinate plane. What are the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1)?

Answers

Answer 1

Answer: (2,3).

Step-by-step explanation:

We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).

Let the point be A.

[tex]PA:PQ=1:3[/tex]

[tex]PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2[/tex]

It means the point A divide the segment PQ in 1:2.

Section formula: If a point divide a segment is m:n.

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

[tex]A=\left(\dfrac{1(-2)+2(4)}{1+2},\dfrac{1(1)+2(4)}{1+2}\right)[/tex]

[tex]A=\left(\dfrac{-2+8}{3},\dfrac{1+8}{3}\right)[/tex]

[tex]A=\left(\dfrac{6}{3},\dfrac{9}{3}\right)[/tex]

[tex]A=\left(2,3\right)[/tex]

Therefore, the required coordinates are (2,3).


Related Questions

lilihoops1010 is asking for help! Go help them!

Answers

Answer:

Okay! I'll go help! (◠‿◕)

5-6x.8571 = 8x8571 + 17

Answers

false

Step-by-step explanation:

What is 8.325 rounded to the nearest hundredth?

Answers

Answer:

8.3

Step-by-step explanation:

hope it helps

Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 because cm would cancel out C. 2.54cm/1 inch...because in would cancel out D. 1 inch/2.54 cm...because cm would cancel out ​

Answers

Answer:

The correct answer is 1 feet/2.54 cm because the cm would cancel out

Step-by-step explanation:

Here, we want the ratio that would allow us convert from 45 cm into feet.

The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.

It would be a case like;

1 feet/2.54 cm * 45 cm

So, we would have;

(45 cm * 1 feet)/2.54 cm

What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3

Answers

Answer:

(3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?

Answers

Answer:

16 grams

Step-by-step explanation:

multiply 8.0 grams x 2 cups.

Answer: 16 grams

Step-by-step explanation: 8.0 times 2 is 16. So you drank 16 grams of sugar in 2 cups of tea

Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?

Answers

The bus one did did fue did. If did si. Nieve is ibdheie. Lie

Please somebody help I have to redo 11th grade if i dont complete.. brainliest if you can help :(

Answers

Answer:

see below

Step-by-step explanation:

Assuming that

Point A is the same as point X

Point B is Point Y

Point C is Point Z

So we have

[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]

the rule for a rotation of 180° is

For 180 degrees, the rule is (a, b) --------> (-a, -b)

so we have

[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]

the rule for reflection across the x axis

(a,b)----->(a,-b)

so we have

[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]

Is -7 + 28 positive or negative?

Answers

Answer:

Positive

Step-by-step explanation:

-7+28=21

21 is positive

Answer:

Positive

Step-by-step explanation:

-7 + 28 = 21

(Pic above) In the figure above , O is the center of square. What is the area of the square?
A. 8
B. 16
C. 32
D. 64

Answers

the answer is 64

- the side length of the square is 8 units
- area of square = a^2
- 8^2
- 64 :)


Bob jogs 3/4 mile each day. How far does Bob jog in 6 days?

Answers

Answer:

4 2/4

Simplified: 4 1/2

Step-by-step explanation:

This is the answer because:

1) Since you Bob runs 3/4 mile each day, you have to multiply 3/4 with 6 because they are asking how far did Bob jog in 6 days.

2) 3/4*6 is equal to 18/4 which equivalent to 4 2/4 the simplified version is      4 1/2

The table shows the total cost, p, for renting a playroom for a birthday party with c party guests. Number of Party Guests (C) Total Cost (p), in Dollars 3 274 7 306 12 346 21 418 Which of the following equations represents the input/output table using function notation? O A. p = 8c + 250 O B. p = 258c C. f(c) = 8c + 250 O D. f(p) = 8c - 250​

Answers

Answer:

Option (A)

Step-by-step explanation:

Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b

m = Slope of the line

b = y-intercept

Choose the two ordered pairs from the table (3, 274) and (7, 306).

Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{306-274}{7-3}[/tex]

m = 8

Since, equation of a line passing through (x', y') and slope m is,

y - y' = m(x - x')

Therefore, equation of a line passing through (3, 274) and slope = 8,

y - 274 = 8(x - 3)

y - 274 = 8x - 24

y = 8x + 274 - 24

y = 8x + 250

Since, y = p and x = c

Therefore, p = 8c + 250 will be the equation.

Option (A) is the answer.

Answer:ok

Step-by-step explanation: the answer is A

Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive

Answers

Answer is 1.6 hours
T=D/S
_=86.4/54
1.6=86.4/54
(Hopes this helps)

HELP ME PLEASE IM CRYING

Answers

Answer:

Yor dying of laughing because of this?

One half of g plus thirty-two is as
much as the sum of fifteen and six times
g.

Answers

Answer:

g=34/11 0r g = 3.09 (approx)

Step-by-step explanation:

1/2g + 32 = 6g + 15

=> 32-15 = 6g-1/2g

=> 17 = 11/2g

=> 34/11 = g

or

g = 3.09 (approx.)

Point B lies on segment AC . Find the length of segment BC if AB = 3.7 cm and AC = 7.2 cm.

Answers

Answer:

3.5 centimeters

Step-by-step explanation:

The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.

Find the slope of the line that passes through (-4.5, 7/2 ) and (3, 3.5).


-1/6
0
undefined
-6

Answers

Answer:

The slope of the line is 0 (there is no change in the y-axis)

Step-by-step explanation:

Here, we want to find the slope of the line that passes through the given points

We use a formula for this;

Mathematically;

m = y2-y1/x2-x1

Substituting the values;

m= (3.5-7/2)/3.5+4.5 = 0/8 = 0

The slope of the line is 0

what is the square root of -1

Answers

Answer:

-1

Step-by-step explanation:

Answer:

1 My dearest friend :D :)

From: iOE

Step-by-step explanation:

Tenths
N Hundredths
w Thousandths
4.1.23
Which statements for 4.123 are true?
Check all that are true.
The digit 1 is in the tenths place.
The digit 2 is in the hundredths place.
The digit 3 is in the thousandths place.
The digit 3 is in the hundredths place.
The digit 2 is in the tenths place.

Answers

It would be A,B,C those are correct

Answer:

A, B, and C

Step-by-step explanation:

Very simple math. I learned this in second grade.

) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.

Answers

Answer:

a)value attached below

b)Yo = [tex]\frac{-27}{20}[/tex]

Step-by-step explanation:

A) solving initial value problem  

[tex]y' - 5y = 15t + 3e^t[/tex]

y(0) = yo

hence the solution of the initial value problem : y(t)

Y(t) =

Attached below is the detailed solution

B) Yo = [tex]\frac{-27}{20}[/tex]  separates the solutions  as

t →∞

this is because when  y(t) < [tex]\frac{-27}{20} y(t) tends to inifiniy[/tex]

                                     y(t) > [tex]\frac{-27}{20} y(t) tends to inifinity[/tex]

1. One complete sentence about rotations.

Answers

Answer: The Earth makes one rotation every day.

Step-by-step explanation:

The price of an item is $6.15. You want to buy two of the items and give the cashier a $10 and a $5 bill. What is the change?

Answers

Answer:the answer is

$2.7

Step-by-step explanation:

Answer: The answer is 2 dollars and 70 cents

Step-by-step explanation: if you add 6.15 and 6.15 it equals 12.30 and then if you subtract 15.00 and 12.30 it equals 2.70

NEED EXPLANATION & PROCESS

Answers

Answer:

x = 20, y = 110

Step-by-step explanation:

For x:

[tex]5x + 45 + 3x - 25 = 180\\8x + 20 = 180\\8x = 160\\x = 20[/tex]

For y:

[tex]y + 2x - 5 + 3x - 25 = 180\\y + 2(20) - 5 + 3(20) - 25 = 180\\y + 40 - 5 + 60 - 25 = 180\\y + 35 + 35 = 180\\y + 70 = 180\\y = 110[/tex]

Solve 3x - x + 2 = 12.
O 1) – 5
O 2) 4
0 3 7
4) 5

Answers

Answer:

4) 5

Step-by-step explanation:

3x-x+2=12

First, you combine similar terms, so 3x-x which is 2x.

Second, you subtract 2 on both sides which is going to give you 2x=10.

Finally, you divide by 2 on both sides, so the final answer is going to be x=5.

Which problem can be represented by the equation 100x+50=710?

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

A coin bank can hold 100 coins. There are 50 coins in the bank. A student puts in 710 coins per week. How many weeks until the bank is full?

A coin bank can hold 100 coins. There are 710 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?

A coin bank can hold 710 coins. There are 100 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?

Answers

Answer: The first answer

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

Step-by-step explanation:

We want to see which problem can be represented with the equation:

100*x + 50 = 710.

The correct option is:

"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"

So, let's briefly analyze the equation.

We have the linear equation:

100*x + 50 = 710.

On the left side, we have 100 times the variable plus a constant of 50, and that must be equal to 710.

So, we start with 50, and if x counts the number of weeks, we add 100 per week.

And because that is equal to 710, we are counting the number of weeks that we need to add 100 to get to that number.

So the problem that meets these conditions is:

"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"

If you want to learn more, you can read:

https://brainly.com/question/2263981

Does 0.63 terminate?

Answers

Answer:

No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)

Step-by-step explanation:

0.63 just stops at 0.63

how do we get 8 3/5>8 6/7​

Answers

make the denominators the same so you cancompare

Find the distance between the point (-8,2) and (6,-1)

Answers

Answer:

3/14

Step-by-step explanation:

Go to cordinate plane and then find distance.

Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)

Answers

Answer:  (4,2)

==========================================================

The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]

In short: add the corresponding coordinates, then divide by 2.

Why can you multiply both quantities in a ratio by the same number to find an equivalent ratio? Please help I have this for homework and I am very frustrated

Answers

Answer:

  Multiplying by 1 does not change the ratio

Step-by-step explanation:

Multiplying a/b by c/c gives the equivalent ratio (ac)/(bc) because c/c is 1, the multiplicative identity element. Multiplying by 1 does not change the ratio.

Answer:help me pls then ill help u

Step-by-step explanation:

A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *

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