Given point A (-9, -9) and B (5, -2) find the coordinates of point P on the directed line segment AB in the ratio 3:4.

Answers

Answer 1

Answer:

We have point P(-3,-6).

Step-by-step explanation:

We want to find a point P(x,y).

Since it is on the directed line segment AB in the ratio 3:4, it means that:

[tex]P - A = \frac{3}{3+4}(B - A)[/tex]

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this to both the x-coordinate and y-coordinate of P.

x-coordinate:

x-coordinate of A: -9

x-coordinate of B: 5

x-coordinate of P: x

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

[tex]x - (-9) = \frac{3}{7}(5-(-9))[/tex]

[tex]x + 9 = \frac{3}{7} \times 14[/tex]

[tex]x + 9 = 6[/tex]

[tex]x = -3[/tex]

y-coordinate:

y-coordinate of A: -9

y-coordinate of B: -2

y-coordinate of P: y

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

[tex]y - (-9) = \frac{3}{7}(-2-(-9))[/tex]

[tex]y + 9 = \frac{3}{7} \times 7[/tex]

[tex]y + 9 = 3[/tex]

[tex]y = -6[/tex]

We have point P(-3,-6).


Related Questions

the perimeter of an equilateral triangle is 6x-6.3. What is the side length

Answers

Answer:

(2x - 2.1)+(2x - 2.1)+(2x - 2.1)

Step-by-step explanation:

6x-6.3/3= 2x-2.1

Each side is 2x-2.1 long

Geometry Question if someone can help please!

Answers

Answer:

Angle D=162 P=74cm A=340sqcm

HELP ME



The graph of quadratic function f is shwon on the grid



which of these best represents the domian of f?​

Answers

Answer:

[-5,5; +∞)

Step-by-step explanation:

according to the given grid the vertex of the parabola is (-0,5; -5,5).

The domain of f is: [-5,5; +∞)

Module 1 MMA Review Activity 1. Mrs. Labuski is buying Halloween Candy for the trick or treaters. She likes to buy a mix fruit flavored candy. Since chocolate is more popular, for every three bags of fruit flavored candy, she buys 5 bags of chocolate candy, If Mrs. Labuski buys 6 more bags of chocolate than fruit flavored candy, how many bags of each did she buy? Use a tape diagram to justify your answer. she bought TRICK OP TRCATI f test. Andrew and Matt decide to​

Answers

It will 17 the answer for every three bags she buy five bags and then she buy six more

Solve the equation x/3 -5- y for x.​

Answers

Answer:

Well first of all, that isn't an equation, I wil however interpret it as best as I can.

x = 25 + 5y

Step-by-step explanation:

x/5 - 5 - y for x, so, x/5 - 5 - y = 0.

Add 5 and y to both sides.x/5 = 5+ y, multiple both sides by 5.

x = 25 + 5y

A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 1.

Answers

Answer:

[tex]Probability = 0.4167[/tex]

Step-by-step explanation:

Given

A toss of coin and a roll of 6-sides die

Required

P(Head and Number greater than 1)

First, we list the sample space of the coin:

[tex]Sample\ Space = \{Head, Tail\}[/tex]

From the sample space above:

[tex]P(Head) = \frac{1}{2}[/tex]

Next, we list the sample space of the die:

[tex]Sample\ Space = \{1,2,3,4,5,6\}[/tex]

There are 5 outcomes greater than 1; i.e. 2,3,4,5 and 6.

So:

[tex]P(Outcome> 1) = \frac{5}{6}[/tex]

Lastly, the required probability is calculated as:

[tex]Probability = P(Head) \ and \ P(Outcome>1)[/tex]

Change and to *

[tex]Probability = P(Head) \ * \ P(Outcome>1)[/tex]

Substitute values for P(Head) and P(Outcome > 1)

[tex]Probability = \frac{1}{2} * \frac{5}{6}[/tex]

[tex]Probability = \frac{5}{12}[/tex]

[tex]Probability = 0.4167[/tex]

FABRIC Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure is 8 inches. If Jordan places the number 8 at one end of the fabric and finds that the
other end of the fabric is at 24, how long is the fabric?

How many inches long is the fabric?

Answers

Answer:

16

Step-by-step explanation:

24-8 = 16

hope this helps....

1.) Find out the distance covered when, speed is 960 km/hour and time is 1 hour 50 minutes.

2.) If distance travelled by a train is 495 km in 4 hours 30 minutes, what is its speed?

3.) A man runs at the speed of 10 km/hr. How much time will he take to cover 750 metres?

4.) Aaron ran 500 metre in 100 Seconds. Find the speed in km per hour.

5.) A cyclist travels at a speed of 20 km/hour. How far will he travels in 50 minutes?​

Answers

Answer:

A: 1070 m

Solution:

based on the formula :

960km/h= x (the distance) / 1h50m

Answer:

Step-by-step

The rate of change is 150 km per minute.

The rate of change is 2.5 km per second. explanation:

Please help ASAP it’s due tomorrow

Answers

So your answer is band c this is because when you substitute -10 and -11 for m you get both these answers -20, and -22 then add 18 to both of them you get -2 and -4

Find the 15th term of the arithmetic sequence x+7,3x+2,5x-3

Answers

Answer:

15th term = 29x-63

Step-by-step explanation:

Find the cosθ if an angle is in standard position and the point with coordinates (7,24) lies on the terminal side of an angle.

Answers

Answer:

0.28

Step-by-step explanation:

Angles in standard position are angles with the initial side on the positive x-axis.

Since (7,24) lies on the terminal side of an angle, hence the line passing through the origin and point (7, 24) forms an angle with the x axis.

The slope of the line passing through the origin (0, 0) and the point (7, 24) is given by:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{24-0}{7-0}\\\\m=\frac{24}{7 }[/tex]

The angle θ between a straight line and the x axis is:

tanθ = m

where m is the slope of the line.

Let θ be the angle between the line with a slope of 24/7 and the x axis, therefore:

tanθ = 24 / 7

θ = tan⁻¹(24/7)

θ = 73.74°

cosθ = cos(73.74°) = 0.28

Complete this calculation: 350g + _______ = 1 kg *
5 points
550g
650g
750g
450g
I will add you to a branlist

Answers

[tex] \text {Hello,Hope you are fine!}[/tex]

Let the required mass be x.

‎ ‎ ‎ ‎ ‎ ‎

As we know that 1kg is equal to 1000g.

So equation can be made as following:-

‎ ‎ ‎ ‎ ‎ ‎

350g+x=1000g

‎ ‎ ‎ ‎ ‎ ‎

➛ x=1000g-350g

‎ ‎ ‎ ‎ ‎ ‎

➛ x=650g

‎ ‎ ‎ ‎ ‎ ‎

Hence your answer is 650g.

‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎

[tex] \text{Keep learning,Good luck!}[/tex]

what is an expression that is equivalent to 15-5x

Answers

Answer:

5(3-x)

Step-by-step explanation:

Step-by-step explanation:

This could be random. There are endless possibilities. For example

15 * 2 - 5x * 2

= 30 - 10x

etc.

So as long as you know the pattern, you can make many more of them

Thrice a number decreased by 5 exceeds twice the number by a unit find the number

With steps please ​

Answers

Make ‘x’ the number:

Thrice the number - 5 is greater than twice the number by 1

So to make them equal each other, subtract 1 from the thrice number - 5

Working attached below for further explanation:

Hope this helps! Any questions let me know :)
Hello! !!!


Here's Your Answer :


Let the number be x.


=>According to Question .

3x - 5 = 2x + 1
3x - 2x = 1 + 5
1x = 6
x = 6


So, the number is 6.


Three siblings are participating in a family-friendly running event. - The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time. - The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race. - The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.

Answers

The siblings walking or running at a constant rate, illustrates a linear function.

The graph of the oldest sibling is Graph B The graph of the middle sibling is Graph CThe graph of the youngest sibling is Graph A

The complete question requires that, we match each graph to the sibling (see attachment)

Oldest sibling

[tex]Starts = 0[/tex] --- start line

[tex]Rate =7[/tex]

So, the equation is:

[tex]y = Starts + Rate \times x[/tex]

[tex]y = 0 + 7 \times x[/tex]

[tex]y = 7x[/tex]

When [tex]x = 1[/tex]

[tex]y = 7 \times 1 = 7[/tex]

This means that;

The graph of the oldest sibling passes through [tex](1,7)[/tex]

The graph of the oldest sibling is Graph B

Middle sibling

[tex]Starts = 0[/tex] --- start line

[tex]Rate = 3.5[/tex]

So, the equation is:

[tex]y = Starts + Rate \times x[/tex]

[tex]y = 0 + 3.5 \times x[/tex]

[tex]y =3.5x[/tex]

When [tex]x = 1[/tex]

[tex]y =3.5 \times 1[/tex]

This means that;

The graph of the middle sibling passes through [tex](1,3.5)[/tex]

The graph of the middle sibling is Graph C

So, we can conclude that:

The graph of the youngest sibling is Graph A

Read more about graphs at:

https://brainly.com/question/18806107

Find the some 2/3 +1/5=

Answers

Answer:

13/15

Step-by-step explanation:

What is one property ALL quadrilaterals have ?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because in quadrilaterals quad means 4

and a  quadrilaterals has four sides

that is the reason why thee answer is b

have a wonderful day

Which of the following illustrates the truth value of the given conditional statement?
p. 10<7
q. 10 <5
~p -> ~q

Answers

Answer:

~p -> ~q

Step-by-step explanation:

A conditional statement in logic may be symbolized by the alphabets, p and q, It always contains an if - then statement.

There is always a  logical connector in the statement with the symbol ->.

A conditional statement is false if the hypothesis is true and the conclusion is false.

The statement in the answer above reads in word; "if not p then not q".

Marty has been late for work 6 out of the past 80 working days. What percent of the days has she been late.​

Answers

Divide days late by total days then multiply by 100:

6/80 = 0.075

0.075 x 100 = 7.5%

Jazel time to check your progress. So far you have completed 816 miles which is 47% of the trail. Can you find about how many miles for the total trip?​

Answers

Answer:

1,736.17miles

Step-by-step explanation:

Let the total trip be x miles

If 47% of the total trip is 816, then;

47% of x  = 816

0.47x = 816

Divide both sides by 0.47

x = 816/0.47

x = 1,736.17miles

Hence the total miles for the trip is 1,736.17miles

Which ordered pair is in the solution set of 3x - 2y>-1?
A) (-1, 1)
B) (-2, -2.5)
C) (2, 4)
D) (1, 2.5)

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

I think its B because I do. I'm too smart to explain

Carl rain the 100 meter dash in 15.454 seconds. Jeremy ran it in 16.05
seconds. How much faster did Carl run than Jeremy?

Answers

Carl ran .596 second faster

Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?


A. Less than or equal to 360 miles

B. Less than 360 miles

C. Less than or equal to 115 miles

D. Less than 1,840

Answers

Answer:

B. Less than 360 miles

Step-by-step explanation:

Let the number of miles driven be [tex]x[/tex]

The cost of renting from Gentle Rental per week is

[tex]185+0.25x[/tex]

The cost of renting from Rental Giant per week is [tex]275[/tex].

Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant

[tex]185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360[/tex]

So, the answer is less than 360 miles.

Based on the array, which statements accurately
compare 15 and 5? Check all that apply.
O Fifteen is twice the amount 5.
O Fifteen is triple the amount 5.
O 15+ 3 = 5
15 x 3 = 5
5 X 3 = 15

Answers

The answer is “Fifteen is triple the amount of 5” and “5x3=15”.

Which is the best description for the graph below?
9
8
7
6
5
4
3
2
-1
BZ 8 9 X
ILL GIVE BRAINLIEST

Answers

Answer:

B is correct.

You got it right =D

Explanation:

B is correct because the graph never goes up after leaving zero, therefore it can never increase. This eliminates options A and D.

If the graph had remained constant, the graph would have been a straight line, therefore eliminating C

With A, C, and D being eliminated, B is the correct answer.

Hope this helps ^w^

Solve the inequality 5x + 2<27 x

Answers

Answer:

5

The answer is 5

The answer is 5

need help asap please! ​

Answers

Answer:

(f + g)(3) = 9

Step-by-step explanation:

f(x) = x² + 1

g(x) = x - 4

Thus:

(f + g)(x) = (x² + 1) + (x - 4)

(f + g)(x) = x² + 1 + x - 4

(f + g)(x) = x² + x - 3

Therefore, to find (f + g)(3), plug in the value of 3 into the equation:

(f + g)(3) = (3)² + 3 - 3

(f + g)(3) = 9 + 3 - 3

(f + g)(3) = 9

find the area of the circle. use 3.14 for n.​

Answers

Answer:

ans 113.04

Step-by-step explanation:

we know that,

d=12

r=6

pie=3.14

A=Pie r^2

A=3.14*6^2

A=113.04

Answer: 113.04

Explanation: 3.14 x 6*2 =113.04

so the answer is 20 how do I type it in

Answers

the answer is 20



goodluck


have a good day... :)

Can anyone answer this I need it asap!!
Martina wants to earn more than $80 selling ice cream cones from her ice cream truck. She already earned $24 selling ice cream cones. The price of each ice-cream cone is $2. If x represents the number of ice cream cones to be sold, which statement represent how many ice-cream cones Martina needs to sell to earn more than $80?
(Show some work lol)

Answers

Answer:

28 icecream cones

Step-by-step explanation:

80-24=56. 56÷2=28

(28×2=56)

Other Questions
As a result of the case against him, Leo Frankreceived the death penalty and was executed.was kidnapped and lynched by a violent mob.was released from prison by Georgias governor.spent his life in prison and died there of old age. Which type of data confirms that one air mass is being replaced by another air mass in a particular area?a-high wind speedb-high air pressure c-high air temperature d- high levels of humidity Help i need notes for edge 2021:the subject: Mathematics: Writing and Evaluating Expressionsand in case moderators come what's 6 x 3? I'll give 50 points for the first two people and brainliest for the best notes A city has 15 radio stations, including 3 college radio stations.What is the probability that a randomly chosen radio station in this city is a college radio station?Write your answer as a fraction or whole number. Yo can someone help me out The United States and the Soviet Union became important members in What would happen to the seasons if Earth's axis was tilted more than 23.5? An experiment compares the taste of a new spaghetti sauce with the taste of a commercially successful sauce readily available in grocery stores. Each of a number of tasters tastes both sauces (in random order) and says which tastes better. This is called a The length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm. Which is the approximate measure of angle JGH?A= 18.4B= 19.5C= 70.5D= 71.6 Select the best estimate for the diameter of a quarter.A.0.20 mmB.20 mmC.200 mmD.20 cm What is the meaning of the word "Antepenultimate" ?(no copied answer) Being an Illustrator lets you turn your Art skills into a career.A. TRUEB. FALSE 8. i got a $12 discount on a $60 headset. What was the percentage discount I got? a zoo has a total of 8 lions and tigers. the number of tigers are one less than twice the number of lions. write a system of equations that represents the number of lions and tigersA. L + T = 2T=L-8B. L-T=8T=2L-1C. L+T =8T=2L-1D. L+T =8T= 2L +1 A recipe for ten flapjacks needs 20g butter, 30gsugar and 50g rolled oats. How many flapjacks canI make if I have 140g butter, 150g sugar and 200grolled oats? BD is the angle bisector of ZABC.If m ABD=25 find m/DBC.A:50B:25C:750D:100 Adenosine's relationship with caffeine is best described as:Group of answer choicesThere is no direct relationship between themThe relationship isnt fully understoodCooperation on the same receptor binding siteCompetition on the same receptor binding site help me in these questions 9) Find AC. ill give brainliest Read the text below carefully and then answer the following question.Le pre de Claude a trois frres et une soeur. Deux sont maris. La mre de Claude a un frre. Claude voit souventsa tante mais voit rarement ses oncles. Les parents de Claude ont aussi une fille Claude aime jouer aux cartesavec sa soeur aprs l'cole.Chantal est marie avec Paul. Chantal aime faire les courses avec sa belle-mre et quelquefois prparer lanourriture avec son beau-pre.Les parents de Christiane sont divorcs. Son pre a une nouvelle femme et ils ont une fille. La mre de Christiane aaussi un nouveau mari et ils ont un fils. La famille de Christiane est grande maintenantChristiane has...O a sister and a stepbrotherO a half-brother and a half-sisterO a father in law and a mother in lawO two stepbrothers