Given the points J(-4,0) and K(0, 4), find the coordinates of the point P on directed
line segment JK that partitions segment JK in the ratio 3:1

Answers

Answer 1

Answer:

Step-by-step explanation:

We are given a ratio for this problem so we will use the formula for when we are given a ratio (as opposed to the formula for when you are given that the point you're looking for is a fraction of the way from one point to another, like 1/3 of the way from point A to point B. That's a different formula).

The formulas are for the x and y coordinates of the point in question:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]   and   [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where

a = 3 (from the ratio),

b = 1 (from the ratio),

x1 = -4, y1 = 0 (from point J)

x2 = 0, y2 = 4 (from point K). Filling in for x first:

[tex]x=\frac{1(-4)+3(0)}{3+1}[/tex] gives us

[tex]x=\frac{-4}{4}=-1[/tex] and now for y:

[tex]y=\frac{1(0)+3(4)}{3+1}[/tex] gives us

[tex]y=\frac{12}{4}=3[/tex]

Therefore, the coordinates that partition that segment into the ratio of 3:1 are (-1, 3)


Related Questions

On Wednesday, the temperature was 27° above zero. On Thursday, it was 7° below zero.

Answers

On Thursday, it would be -7°

I hope this helped♡

The integer showing temperature on Thursday is -7° C

What is integer?

An integer is a number with no decimal or fractional part, and it includes negative and positive numbers, including zero.

Given that, On Wednesday, the temperature was 27° above zero. On Thursday, it was 7° below zero.

Since, below zero, it starts negative numbers,

And, the temperature on Thursday was 7° below zero.

Therefore, the temperature on Thursday was -7° C

Hence, the integer showing temperature on Thursday is -7° C

For more references on integers, click;

https://brainly.com/question/15276410

#SPJ2

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

25/99 and the ones you selected

Step-by-step explanation:

Irrational numbers are decimals that do not repeat. 25/99 does not repeat but goes on forever. Same with the other choices like square root of 17 and 18, as well as 0.48...

Hope this helps!

:)

The graphs below have the same shape. What is the equation
of the blue graph?

Answers

it’s a bc i go over left and up one

Answer:

C

Step-by-step explanation:

the vertex of the blue is (-4,1)

the matching formula has the vertex in it (h,k)

y = (x-h)^2 + k

notice in the formula h is negative

so since the x value of the vertex is (-4), you make it positive in the formula

the y value is positive in the formula and so is the y value of the vertex (1)

Solve for x.
Please help

Answers

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Please Help!!

In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D

PLEASE AWNSER NOW!!!
your mother is fat due to the consumption of pi if your mother has a radius of 3 feet what is the total circumphrance of your mother

Answers

Answer:

C = 6 pi ft

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

C = 2 * pi *3

C = 6 pi ft

Answer:

what are you talking about dude.

At middle avenue school, 1/30 of the students are on the track team. The track coach offered to buy pizza or subs for everyone on the team. Of the students for whom the coach bought food, 3/5 ordered pizza. What fraction of the students at middle avenue school are pizza?

Answers

Answer:

1/50

Step-by-step explanation:

1/30 * 3/5 = 3/150

Reduce

1/50

Answer:

2/5

Step-by-step explanation:

Which number is between 7.17 x 10^4 and 8.17 x 10^5

Answers

Answer:

71701,71702, 71703 etc

Step-by-step explanation:

Given :

[tex]7.17[/tex]×[tex]10^{4}[/tex] and 8.17×[tex]10^{5}[/tex]

Now

[tex]7.17[/tex]×[tex]10^{4}[/tex]=71700 and

8.17×[tex]10^{5}[/tex]=817000

There are so many numbers between 71700 and 817000

Like: 71701,71702, 71703 etc

ANSWERRRR QUICKKKK PLEASEEEE

Answers

Answer: sqrt(2)/2  which is choice D

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

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

------------

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

Select all the ordered pairs that are solutions of the equation.

A. (-7 , 1)

B. (-1 , 7)

C. (0 , 5)

D. (2 , 3)

E. (3 , 2)

F. (5 , 0)

Answers

hmmm i think maybe D?

Can someone help me? It's urgent and thank you!

Answers

Answer:

the first one

Step-by-step explanation:

Imperial measurement systems please show all work in a neat manner thank you !

Answers

Answer:

1. Ethan

2. 2.5 tons

3. 72 in

4. 5.7 mi

Step-by-step explanation:

1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.

2. Divide pounds by 2000 to get tons

3. Multiply by 12

4. Divide by 5280 to turn feet into miles

Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide  the line segment PQ in the ratio​

Answers

Answer:

PQ' : Q'Q = 3 : 1

Step-by-step explanation:

As Given In Question

We Have A Triangle With Side PQ=8cm

PQ' = 3/4 * PQ

PQ' = 3/4 * 8

PQ' = 6 cm

& Q'Q = PQ - PQ'  

            = 8 - 6 = 2cm

so the line segment PQ is divided into PQ' : Q'Q = 3 : 1

In the diagram,AB= 6 cm, BD= 17 cm, CD= 15 cm, ABC= BCD= 90°.
Find the lengths of BC and AC.

Answers

Answer :

The required values are :

[tex] \longrightarrow \mathrm{BC = 8 \: \: cm}[/tex]

and

[tex] \longrightarrow \mathrm{AC = 10 \: \: cm}[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Find the perimeter of the rectangle in the area of the rectangle

Answers

Answer:

20x

Step-by-step explanation:

Answer:

[tex]perimeter = 2(l + w) \\ = 2((4x + 2) + 2) \\ = 2(4x + 4) \\ =( 8x + 8) \: units \\ \\ area = l \times w \\ = (4x + 2) \times 2 \\ = (8x + 4) \: sq \: units[/tex]

Find the area of the shaded region for the given figure in terms of x.
X-1
X + 2
X-1
X + 2

Answers

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

Find the measure of DF

Answers

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

PLEASE HELP!!


Find the area of the following triangle enter the exact answer as a decimal

Answers

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

In a polynomial division problem, the dividend does not have an X^3-term. When the problem is written in long division form, what should be the coefficient of the x^3-term in the dividend? Α. 0 B.-1 C. 1 D. 3​

Answers

Answer:

0

Step-by-step explanation:

When a number is not included or used, it can be considered 0.

This makes sense, because if it had a actualy value, it would effect the polynomial, and change the answer.

The only time it would  not effect the polynomial is when it 0.

Hope this makes sense :D

Find all positive and negative integers b such that x2 +bx+6 factors

Answers

Answer:

b = - 5 , - 7 , 5 , 7

Step-by-step explanation:

Standard quadratic equation is of the form :

ax² + b x + c , where b = p + q and c = pq

Where p and q are factors of c.

Therefore , we will consider the factors of 6.

Factors of 6 = ( -1 , -6 ) , ( -2 , -3 ) , ( 1, 6 ) , ( 2 , 3)

x² + bx + 6

b = p + q

So, b = - 7 , -5, 7 , 5

which definition best describes Pythagorean triples

Answers

Answer:

Don't trust me but I would say B

Answer:

A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle, and is necessarily a right triangle. The name is derived from the Pythagorean theorem , stating that every right triangle has side lengths satisfying the formula a2+ b2= c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.

Step-by-step explanation:

Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"​

Answers

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

pls help
Factor out the GCF
16x - 48

Answers

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

ILL GIVE BRAINLIEST!!
If P = (-1, 7), Find:
r180° (P)

Answers

7 x 180 = 1260

1260/2 = 630 is the answer

Answer:

630

Step-by-step explanation:

Which statement best describes a many-to-one function?
A. It passes the horizontal line test.
B. A function that has y-values with more than one corresponding x-
value.
C. It is a linear function.
O D. It is a nonlinear function.
SUBMIT

Answers

Answer:

B

Step-by-step explanation:

many different values of x lead to the same value of y.

hence, many-to-one.

but it does not mean that all values of x have to lead to the same value of y. it could be, but it is not demanded. so, it is not necessarily a horizontal line.

and this does not give us any information about the power of x involved. so, we cannot make any statement about linear or non-linear function.

Can someone help me answer these practice questions

Answers

Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

please answer quickly easy 15 points but please answer quick

Answers

Answer:

24.25 feet

Step-by-step explanation:

What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..

Answers

Answer:

ratio is 1/2

Step-by-step explanation:

r=8/16 =1/2

Answer:

1/2

Step-by-step explanation:

16 * 1/2 = 8

8 * 1/2 = 4

4 * 1/2 = 2

Hope this helps!

Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos mangos, luego vende la mitad del saldo más un mango. Finalmente vende los 24 restantes, el número de mangos inicial empieza con la cifra

Answers

Respuesta:

200 mangos

Explicación paso a paso:

Dado :

Sea el número inicial de mangos = x

Primera venta:

3 / 5x + 2

Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2

Segunda venta:

1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2

Cantidad restante:

2 / 5x - 2 - (2 / 15x - 2/3 +2)

2 / 5x - 2 - 2 / 15x + 2/3 - 2

0,2666666x - 3,3333

Tercera venta:

1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1

0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final

0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24

0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24

0,133333x - 2,666635 = 24

0.133333x = 24 + 2.666635

0,133333x = 26,666635

x = 26,666635 / 0,133333

x = 200.00026

x = 200 mangos

PLease help :(

In geometry, you can use deductive to

A. make conjectures

B. find patterns

C. define terms

D. prove conjectures

Answers

Answer:

I am almost 100% sure the answer is D.

Step-by-step explanation:

Deductive reasoning is the process of reasoning logically from given statements to make a conclusion. Deductive reasoning is the type of reasoning used when making a Geometric proof, when attorneys present a case, or any time you try and convince someone using facts and arguments.

Other Questions
Which rule about the sign of the quotient of positive and negative decimals is correct? The diamond shape is used exclusively for_signs.A. School crossingB. YieldC. WarningD. Regulatory Please solve all with explanation Drag the tiles to the correct boxes to complete the pair.Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x)= f(x)/g(x).f(x) = x2 - 9, and g(x) = x - 3f(x) = x2 - 4x + 3, and g(x)= x - 3f(x) = x2 + 4x - 5, and g(x) = x - 1f(x) = x2 - 16, and g(x) = x - 41.h(x) = x + 5>2.h(x) = x + 3>3.h(x) = x+4>4.h(x) = x-1> what is an equation of the line that is perpendicular to y + 1 = -3(x-5) and passes through the point (4, 6) ILL GIVE YOU BRAINLEST please help!!!!!!!!!!!!!!!!!!!!!!!! it cash price of a laptop $1 299 it can be bought on hire purchase Find each product. (20 Points!) Unlike the collapse of Enron and WorldCom, TJX did not break any laws. It was simply not compliant with stated payment card processing guidelines.a) trueb) false Los amigos lo estn pasando bien. Ellosse acuestanse diviertense llamanse duermen A redundant constraint is one which Group of answer choices is added after the problem is already formulated. can only increase the objective function value. is parallel to the level curve. plays no role in determining the feasible region of the problem. Which of the following sets represents the range of the diagram. A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week Which of the values is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?0.90.4-0.40.9 What equation should they enter into the distometer? Currently stuck on this problem. Can someone help me solve this? I dont understand. If a probability distribution is1 /10, 1/5, 1/2what is the value of x?A.3/10B. 1/10C.1/5D.3/5 Which expression is equivalent to n+n+n+n PLS ANSWER ASAP DUE AT 9:15 Can someone help me i keep getting different answer!! 2. My wife and I are racing around a 400m track going opposite directions. I amrunning at 8 m/s and she has a head start of 50 meters running at 5m/s, how longdoes it take for us to reach the same point.