What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?

O -8
O -5
O 0
O 6

What Is The Y-coordinate Of The Point That Divides Thedirected Line Segment From J To K Into A Ratio

Answers

Answer 1

Answer:

[tex]y = 0[/tex]

Step-by-step explanation:

Given

Line segment JK

[tex]J = (1,-10)[/tex]

[tex]K = (7,2)[/tex]

Ratio; [tex]m:n= 5:1[/tex]

Required

Find the coordinates of y

From the question; the formula to use is

[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex]

We have that; m = 5; n = 1

[tex]J =(x_1, y_1) = (1,-10)[/tex]

Hence, [tex]y_1 = -10[/tex]

[tex]K = (x_2,y_2)= (7,2)[/tex]

Hence, [tex]y_2 =2[/tex]

Substitute the above values in the given formula;

[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex] becomes

[tex]y = (\frac{5}{5+1})(2 - (-10)) + (-10)[/tex]

Solve brackets

[tex]y = (\frac{5}{6})(2 +10)) - 10[/tex]

[tex]y = (\frac{5}{6})(12)) - 10[/tex]

Open bracket

[tex]y = \frac{5}{6} * 12 - 10[/tex]

[tex]y = \frac{5*12}{6}- 10[/tex]

[tex]y = \frac{60}{6}- 10[/tex]

[tex]y = 10 - 10[/tex]

[tex]y = 0[/tex]

Answer 2

Answer: 0

Step-by-step explanation:


Related Questions

What is the sum of the addends 365 and 540?

Answers

Answer:

905

Step-by-step explanation:

365+540=905

Answer:

905

Step-by-step explanation:

Add the numbers...

365 + 540

Therefore your answer would be 905

Easier and faster if you put it in a calculator but hope this helps!

Make L the subject of the formula T=2π√L\G​ ​

Answers

Answer:

[tex]L=(\frac{TG}{2\pi })^2[/tex]

Step-by-step explanation:

[tex]T=2\pi \sqrt{L}/G[/tex]

[tex]TG=2\pi \sqrt{L}[/tex]

[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]

[tex](\frac{TG}{2\pi })^2 =L[/tex]

Answer:

[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.

Answers

Answer:

The angle at vertex D is acute

Triangle DEF is a right triangle

Step-by-step explanation:

Acute means that the angle is smaller that 90degrees

Correct statement are,

The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Triangle DEF has a 90° angle at vertex E.

Since, In triangle DEF,

vertex E has 90 degree.

So, Possible value of angle E and F are less than 90 degree

Hence, The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

Learn more about the angle visit:;

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Please answer this equation ❤️

Answers

Answer:

h(2) = 0

Step-by-step explanation:

Simply plug in 2 in for x in h(x)!

h(2) = -(2) + 2

h(2) = -2 + 2

h(2) = 0

And we have our final answer!

Answer:

H(2) = 0

Step-by-step explanation:

All you need to do is replace x with 2 in the function and solve:

H(2)= -2 + 2

H(2)= 0

binomial numbers, Stifel

Answers

Answer:

binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número

Step-by-step explanation:

Find the solution set for this equation.
-m2 - 5m=0
Separate the two values with a comma.
Enter the correct answer.

Answers

Answer:

m = -5, 0

Step-by-step explanation:

Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.

Pls answer i will mark as branliest

Answers

Answer:

A) Corresponding Angles Theorem (They correspond to each other)

B) If <XBC = 55 Then <XCB = 55

(Because they both are opposite to equal sides)

Now, Finding <BXC:

=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)

=> <BXC = 70 degrees

I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6

Answers

You answer is B

-10r=-115+6

Can someone make sure that I’m right I don’t know I think I’m wrong but I don’t know so can you help me

Answers

Answer:

2 sqrt(5)

Step-by-step explanation:

To find the geometric mean to two numbers

sqrt( x*y)

sqrt( 5*4)

sqrt(5) * sqrt(4)

2 sqrt(5)

-67/50 + 1.5 - 100% =
Need help!

Answers

Answer:

-0.84

Step-by-step explanation:

hope ths helps i did the test btw :)

EXPLANATION:
Turn everything into whole numbers
So
-1.34+ 1.5-1 = -0.84
Hope this helps you

The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9

Answers

The answer would be 2/3 I took the test and passed it

The multiplicative rate of change of the function is 2.

What is the rate of change?

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.

Given that the values of the variables x and y are,

x    y

1     6

2    4

The rate of change will be calculated as,

Rate  of change  = ( y₂ - y₁ ) / ( x₂ - x₁ )

Rate  of change  = (4 - 6 ) / ( 2 - 1 )

Rate of change = -2

The multiplicative rate of change will be 2.

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Please help I don't understand

Answers

Answer:

C

Step-by-step explanation:

i just took the test

You have a 90% as your grade and on your final you get 80%. Your current grade is 20%of your grade and your final is 80% of your grade. What percent for your grade would you get in the end?

Answers

Answer:

82%

Step-by-step explanation:

(20×90+80×80) / (20+80) = 8200 / 100 = 82.00

the grade would be 83%,

ANSWER QUICKLY!!! Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

(QUESTION!!!)--->Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.

Answers

1. 2x + 3y = 1470

   3y = -2x + 1470

   y = -2/3x + 490 <== slope intercept form

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

2. y = -2/3x + 490....slope = -2/3.....y int = (0,490)

   to graph, start at (0,490)....since the slope is -2/3, we will go down 2       spaces, then to the right 3 spaces, then down 2 spaces, and to the right 3 spaces. It helps to find the x int which can be found by subbing in 0 for y into the equation and finding x. So ur x int is (735,0)...this is where ur line should cross the x axis.

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

3. function notation : f(x) = -2/3x + 490...not sure how to explain the meaning...sorry

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

4. graph the function....it will be the same line as the graph I explained before...y = -2/3x + 490

y int = (0,490)

x int = (735,0)

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

5. original :                            new :

   2x + 3y = 1470                 2x + 3y = 1593

   3y = -2x + 1470                3y = -2x + 1593

    y = -2/3x + 490                y = -2/3x + 531

similarities : Both of these equations will have the same slope, which is -2/3. Both lines are descending. Both lines are parallel to each other.

differences : These lines will have different x and y intercepts

y = -2/3x + 490 : y int = (0,490), x int = (735,0)

y = -2/3x + 531 : y int = (0,531), x int = (796.5,0)

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

6. pick 2 points on the line.....(0,300) and (450,0)

find the slope using the slope formula : slope = (y2 - y1) / (x2 - x1)

(0,300)....x1 = 0 and y1 = 300

(450,0)...x2 = 450 and y2 = 0

now we sub and find the slope

slope = (0 - 300) / (450 - 0) = -300/450 reduces to -2/3

now we use y = mx + b

slope(m) = -2/3

use either of ur points...(450,0)...x = 450 and y = 0

now sub and find b, the y int

0 = -2/3(450) + b

0 = - 300 + b

300 = b

so ur equation is : y = -2/3x + 300....or  2x + 3y = 900

HEEEEEEEEELP IM TIMED!!! Which is the largest ratio? StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3 StartFraction 5 Over 36 EndFraction 2:9 3 to 18 1:3

Answers

Answer:

i t is 1:3 i got it on my edgen test

Step-by-step explanation:

Find the area of a circle with diameter 10cm use the value 3.14

Answers

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

Answer:

78.5 cm^2

[tex]solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.

Answers

9514 1404 393

Answer:

  £170,000

Step-by-step explanation:

Bianca bought the house for 1 +20% = 1.2 times Rafik's purchase price. She sold it for 1 -5% = 0.95 times what she bought it for. So, we have ...

  (Rafik's purchase price)×1.2×0.95 = £193800

  Rafik's purchase price = £193,800/(1.2×0.95) = £170,000

Rafik bought the house for £170,000.

(05.06) coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? (2 points) 2x + y 8

Answers

Answer: I'm not sure if this is right but I believe its point E, F, G, J

Step-by-step explanation:

Don't use this without getting confirmation I don't want to trip anyone up!

Answer: EFG is correct

Step-by-step explanation:

I did the quiz

Figure ABCD is a parallelogram.
What is the value of n?
3
5
17
25​

Answers

Answer:

n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right

Answer:

n = 17

Step-by-step explanation:

The opposite angles of a Parallelogram are equal.

So,

4n-2 = 2n+32

4n-2n = 32+2

2n = 34

Dividing both sides by 2

n = 17

In circle P, diameter QS measures 20 centimeters. Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters

Answers

Answer:

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Step-by-step explanation:

Given that circle P, i.e. center is point P.

QS is diameter with length 20 cm.

Given that RP is the radius with

[tex]\angle RPS = 123^\circ[/tex]

To find length of arc QR = ?

Solution:

Arc QR subtends the [tex]\angle QPR[/tex] on center P.

So, we need to find the angle [tex]\angle QPR[/tex] to find the length of arc QR.

QS is the diameter so [tex]\angle QPS = 180^\circ[/tex]

[tex]\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ[/tex]

Converting in radians,

[tex]\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians[/tex]

Using the formula for length of arc:

[tex]l = \theta \times R[/tex]

Where [tex]\theta[/tex] is the angle subtended by the arc on center.

R is the radius of circle.

Here,

[tex]\theta = 0.99\ radians\\R = 10\ cm[/tex]

[tex]l = 0.99 \times 10\\l = 9.9\ cm[/tex]

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Answer:

9.9 cm

Step-by-step explanation:

solve 0.06*0.7+0.03=0.06*(-0.2)+0.03​

Answers

Answer 0.06*0.7+0.03=0.072 and 0.06*(-0.2)+0.03=0.018

Which of these sequences is a geometric sequence?

Answers

Answer:

The answer is option d.

Hope this helps you.

Answer:

D

3,9,27,81,243,729

Step-by-step explanation:

Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.

Answers

Answer:

3s+15

Step-by-step explanation:

let 's' be the length of the shortest side

-> twice as long as the length of the shortest side =2s

->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3

-> the third side= 12 feet

p = s + 12 + 2s+3

p= 3s+15

What is the measure of a 137 degree angle

Answers

Answer: 137 degrees

Step-by-step explanation:

It's in the sentences, the angle is 137 degrees

7. Express as a fraction in simplest form: 4 to 36

Answers

Answer:

4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9

Answer:

1/9

Step-by-step explanation:

4:36 as a ratio can be written in the form of a fraction.

4/36

Simplify the fraction using the highest common factor.

4÷4/36÷4

1(4)/9(4)

The 4's cancel.

1/9

What is the standard form for the quadratic function? f(x)=(x−3)2+5 f(x)=x2−4
f(x)=x2+14
f(x)=x2−6x+14
f(x)=x2+6x−4

Answers

Answer:

x^2-6x + 14

Step-by-step explanation:

Here, we want to

write the standard form of the quadratic equation in the question.

This can be written by expanding the bracket.

F(x) = (x-3)^2 +5

F(x) = (x-3)(x-3) + 5

F(x) = x(x-3)-3(x-3) +5

F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14

suppose f(x)=x^2-4.Find the graph of f(3x)

Answers

Answer:

3(x²-4) or 3x²-12

Step-by-step explanation:

x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)

Your lawn mower mows a lawn in 1.5 hours. When your friend's lawn mower is used together with your lawn mower, the lawn is mowed in 0.5 hours. How long (in hours) does it take your friend's mower to mow the lawn when working alone?

Answers

Answer:

My friend's mower will take approximately 0.75 h to mow the lawn alone.

Step-by-step explanation:

To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:

[tex]speed = \frac{distance}{time}[/tex]

Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:

[tex]x = \frac{lawn}{1.5}[/tex]

When my friend's mower does the job, its speed "y" can be seen as:

[tex]y = \frac{lawn}{time}[/tex]

When both work together the speed can be seen as:

[tex]x + y = \frac{lawn}{0.5}[/tex]

Applying the first two equations on the second, gives us:

[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]

My friend's mower will take approximately 0.75 h to mow the lawn alone.

How many cubes are needed to build this figure?

Answers

Answer:

3 cubes are needed are needed to build the figure

6 cubes are used in this diagram

Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.

Answers

Answer:

a = √a b = √5 c = √10

ac/b = (√a)(√10)/√5

= √ 10 × a /√5

= √10a / √5

Rationalize the surd

√10a ×√5/(√5)²

= √50a /5

= 5√2a/ 5

= √2a

The final answer is √2a

Hope this helps

Other Questions
"Definition" a. a characteristic that is not passed from one generation to the next in the genes but instead is acquired during the lifetime of an individual b. To mate two plants or animals to produce another generation c. A unit of DNA that determines a specific trait in an organism d. The transfer of traits from parents to their offspring e. A chart used to predict the proportion of offspring that will have a certain trait when two organisms are crossed f. A gene in a gene pair that is not expressed when paired with a dominant gene g. An organism that is the offspring of two similar organisms that are not the same species h. A gene in a gene pair that is always expressed i. A characteristic of an organism; for example, eye color, hair color, or height j. The science of heredity; the study of how traits are passed from parent(s) to offspring k. The discoverer of the basis of genetic theory l. When both genes from a homologous pair are identical m. Factors in the environment of an organism that limit the full expression of a gene n. A twisted and coiled strand of DNA within the nucleus that carries the codes for reproductive traits such as eye and hair color o. The strands of genetic material that determine traits of daughter cells (stands for deoxyribonucleic acid) p. When both genes from a homologous pair are different q. Two similar chromosomes; one from the mother and one from the father r. The links that hold the two sides of the DNA molecule together In the late 1800s, Western nations generally believed the peoples of Africa and Asiawere good Christians.were less civilized.should learn English.should be industrialized. Read the excerpt from Hemingway's a farewell to arms. The major Asked me to have a drink with him and two other officers. We drank rum it was very friendly. What does the excerpt reveal about the narrator? 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What is the approximate minimum amount Leo should expect to contribute in his second school year? $13,472 $13,868 $14,007 $18,855 EXPLAIN TWO WAYS IN WHICH THE WORK OF ANDREAS VESALIUS AND THE WORK OF JOHN HUNTER WERE SIMULAR E-Eyes has a new issue of preferred stock it calls 20/20 preferred. The stock will pay a $20 dividend per year, but the first dividend will not be paid until 20 years from today. The required return on the stock is 7.75 percent.Required:On this stock, how much should you pay today? How can her partial solution be interpreted? The equation has one solution: x = 0. The equation has one solution: x = 8. The equation has no solution. The equation has infinite solutions. 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(FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)Required: Calculate the amount at which Lincoln should record the note payable and corresponding purchases on September 30, 2018, assuming that an interest rate of 11% properly reflects the time value of money in this situation. Amount recorded