Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?

Answers

Answer 1

Answer:

(-1, 8)

Step-by-step explanation:

Given P to be the point that divides the coordinates J and K in the ratio 1:3

then the coordinate of point P will be xpressed as;

P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]

Given J = (-4, 11) and K = (8, -1)

[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]

substituting the given parameters into the line division formula

[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]

Hence the coordinates of P is (-1, 8)


Related Questions

which integer is closest to √55 ?

Answers

Answer:

when you simplify √55

you get

7.41619848.....

the integer closest to 7.41619848... is 7

So the answer is 7

15/2 is (greater than, less than, or equal to) the square root of 55?

Answers

First make 15/2 a mixed number

7 1/2

Or in decimal form its 7.5.

Find the square root of 55

Around 7.4

15/2 is greater

Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}

Answers

the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on

Correct! Thanks. This really helped me on a question on my quick check!

A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Find the complete question a=below;

A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?

The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;

h(t)=40t-16t2

0 h(t)=40t-16t2

40t-16t² = 0

add 16t² to both side

40t-16t²+16t² = 0+16t²

40t = 16t²

40 = 16t

divide both sides by 16

t = 40/16.

t = 2.5secs

Hence the golf ball hit the ground after 2.5secs

Answer:

when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.

Canada has a population that is about 1 10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.

Answers

Answer:

320,000,000

Step-by-step explanation:

Let f(x)=5x-4 and g(x)=x^2-1. Find (g*f)(-1)

Answers

Answer:

D. 80

Step-by-step explanation:

Given:

f(x) = 5x - 4,

g(x) = x² - 1

Required:

(g o f)(-1)

SOLUTION:

(g o f)(-1) = g(f(-1))

Plug in -1 for x into the function, f(x) = 5x - 4:

g(f(-1)) = g(5(-1) - 4)

= g(-5 - 4)

= g(-9)

Plug in -9 for x in the function, g(x) = x² - 1

g(-9) = (-9)² - 1

= 81 - 1

= 80.

Therefore, (g o f)(-1) = g(f(-1)) = 80

D. 80 is the correct answer.

3. -(0.5x +0.25) = -38​

Answers

Answer:

-75.5 I think

Step-by-step explanation:

-0.5x-0.25=-38

add 0.25 on both sides.

-0.5=-37.75

-75.5

Answer:

now we need to find x

x will be found by finding what you have to multiply to get to 38

-0.25 x 152=  -38 so x= 152

6. Simplify: 15 + 10 - 8-2 +3 - 4 - 1

Answers

Answer:

13

Step-by-step explanation:

15 + 10 = 25

25 - 8 = 17

17 - 2 = 15

15 + 3 = 18

18 - 4 = 14

14 - 1 = 13

Answer:

13

Step-by-step explanation:

its 13

what is 3/4 times 12

Answers

Answer:

bruh its      9

Step-by-step explanation:

Someone please help.

Answers

i’m pretty sure the answers A

Please Help Thank You So Much

This is inequalities

Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x

You don't need a graph to solve this.
I kinda need this today.

Answers

Answer:

all the possible values of y - x are 4 and 5

all possible values of x/y = 1

g(x)= - 4x - 24 PLEASE HELP

Answers

Answer:

the answer got that would be -4

if a+b= -1 then the value of a^3+b^3 - 3ab= ?

Answers

Answer:

-1

Step-by-step explanation:

[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]

x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

(-32/7,281/21) is the answer

Brainliest?

Use the following conditional:
If a number is odd, then it is an integer and a prime number.
Which is the hypothesis of the conditional?
A. A number is odd.
B. A'number is a prime number.
C. A number is either an integer or a prime number.
D. A number is both an integer and a prime number.

Answers

Answer:

a: a number is odd

Step-by-step explanation:

It uses the word IF

What value of x is in the solution set of 3(x – 4) > 5x + 2?

Choices
-10
-5
5
10

Answers

We have to simplify and get the value of x from this inequality given:

Given inequality,

[tex]3(x - 4) > 5x + 2[/tex]

Now let's simplify by using distributive property,

[tex]3x - 12 > 5x + 2[/tex]

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

[tex]3x - 12 - 5x - 2 > 0[/tex]

[tex] - 2x - 14 > 0[/tex]

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.

[tex] \dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2} [/tex]

[tex]x + 7 < 0[/tex]

Now subtracting -7 from both sides,

[tex]x + 7 - 7 < 0 - 7[/tex]

[tex]x < - 7[/tex]

Or, Interval of the equal [tex](- \infin, -7 ][/tex]

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer:

it's A :)

Step-by-step explanation:

can I have brainlest please

Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP

Answers

39 degrees is the answer

Answer:

8 degrees

Step-by-step explanation:

4x+7=6x−9

Step 1: Subtract 6x from both sides.

4x+7−6x=6x−9−6x

−2x+7=−9

Step 2: Subtract 7 from both sides.

−2x+7−7=−9−7

−2x=−16

Step 3: Divide both sides by -2.

-2x/-2 =-16/-2

Equals to X=8

F is between E and G. E, F, and G are collinear. EG = 29x – 3 ; EF = 6x + 12; FG = 13x + 5. Find EG.

Answers

Answer:

EG=55

Step-by-step explanation:

EF+FG=EG

(6x+12)+(13x+5)=29x-3

19x+17=29x-3

20=10x

2=x

29x-3

29(2)-3

58-3

55

Check

(6x+12)+(13x+5)

((6(2)+12))+((13(2)+5))

(12+12)+(26+5)

24+31

55

g(a) = a + 2. Find f(-7).

Answers

Answer:

-5= g(a)

Step-by-step explanation:

assuming this is a typo and you meant to say g(-7).

-7 +2 = -5

Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)

Answers

Answer:

-14y + 34

Step-by-step explanation:

Step 1: Write out equation

6(5 - 3y) + 4(y + 1)

Step 2: Distribute

30 - 18y + 4y + 4

Step 3: Combine like terms

-14y + 34

Answer:

34-14y

this is simplifed

Step-by-step explanation:

A square garden has an area of 1,600 square feet. How long is each side of
the garden?
16
40
80
160

Answers

Answer:

40

Step-by-step explanation:

why? because 40x40=1600

HELPPPPPPPPPPP!!!!!!

Answers

Answer:

2x

Step-by-step explanation:

The width of the outer frame - inner frame

= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x

ali is writing a computer program. last week he wrote 25 lines of code each day for 5 days. this week her wrote 42 more twice the number of lines of code he wrote last week. how many lines of code he wrote altogether for his computer program

Answers

Answer:

292 lines of code

Step-by-step explanation:

1.) Multiply.    25 times 5 = 125

2.) Multiply previous answer by 2 (because he wrote twice as much).             125 times 2 = 250

3.) Add 42 to previous answer.    250 + 42 = 292

6x^2=21x-9 Need help learning factoring please put work so I can understand

Answers

Hopefully this is enough work for you finding the the best way to get the multiples of the middle x makes it easier so there is not as many trial and errors. These problems are normally trial and error so don’t lose hope if you don’t get it right away

Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25

Answers

Answer:

Option D. y = – 5x² + 20x + 25

Step-by-step explanation:

We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:

The solutions are simply the values through which the graph cuts the x-axis.

The solutions are x = – 1 and 5.

Next, we shall obtain the equation for the graph as follow:

x = – 1 Or x = 5

x + 1 = 0 or x – 5= 0

(x + 1) (x – 5) = 0

Expand

x(x – 5) + 1(x – 5) = 0

x² – 5x + x – 5 = 0

x² – 4x – 5 = 0

Multiply through by 5

5x² – 20x – 25 = 0

Rearrange

0 = 0 – (5x² – 20x – 25)

= – 5x² + 20x + 25

Thus, the equation is:

y = – 5x² + 20x + 25

Storm Center 7 was tracking a cold front approaching Cedarburg. Before it rolled in, the temperature was – 7°F. Then, the temperature decreased by 9°F.

Answers

Answer:

The tempature is now -16 F

Subtract. -7 - -9 = -16.

Hope this helps.

Answer:

-16

Step-by-step explanation:

- 32x - 40
What is the first step that I should do

Answers

I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.

[tex] - 32x - 40 = 0[/tex]

[tex] - 32x = 40[/tex]

From there you will divide by -32 and simply the fraction.

[tex]x = - \frac {40}{32} [/tex]

[tex]x = - \frac{5}{4} [/tex]

I hope this helps, but please let me know if this is not what you're trying to do.

1. Estimate
Square root 5

Answers

Answer: 25

Step-by-step explanation: 5^2 = 25, 5x5 = 25

Hope this helps!

2.2

did that help at all

Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?

Answers

Answer:

20

Step-by-step explanation:

Solve for 3x + 5(x - 2) = 14​

Answers

distribute the 5 throughout the x-2
3x+ 5x - 10 = 14
8x-10= 14
add 10 to both sides
8x=24
divide 8 both sides
x = 3
Other Questions
3. Which statement summarizes the social contract described by John Locke and Jean-Jacques Rousseau? Solve for x: 3x7=7x+13 I am like most Americans and vote on individual issues. I try to stay open minded and my attitude on an issue can change based on learning something new. Like, when I saw that movie "Vegucation" and became a Vegan. 13. Adding up all of theof all of the individual atoms within one molecule of a compound will determine the molecular mass of the compound.A. atomic numbersB. electronsC. atomic massesD. protons 6. Identify which of the following factors creates a movement of the entire demand curve andwhich creates movement along the demand curve.a. Consumer income-b. PriceC. Consumer taste-d. Number of consumers-(Need a definition for each one on how they work on a demand curve) I need to know the time for the clock in spanish How can mindfulness help people make better choices? Which accurately compares a benefit of Jamestowns environment with a disadvantage? The marshy ground was good for growing tobacco, but it attracted mosquitoes that caused malaria. The rocky ground was a sign of large gold deposits, but the rocks in the soil broke all the plows. The old-growth forests were rich in timber, but putting out forest fires was a major problem. The island location made it good for trade, but the riverbank was too far to reach with a bridge. 23Fill in the blank with the Spanish word that best completes the following sentenceLas personas tienen doso pelospiernascuellosnarices Which of the following is a way to exhibit professionalism?a. certificationsb. teamworkc. technologyd. speech What's one similarity between the British-Native American relations described in the petition and French-Native American relations? Which of the following is not a leader in the First Triumvirate of Rome The way characters react to one another affects the _____ of a story.point of view conflictsettingsequence The settlement at Roanoke Island is known as the Lost Colony. True False A patient has discussed her concern over the large quantity of amalgam fillings in her mouth; she fears that the mercury may be affecting her health. She has scheduled an appointment to discuss this with the dentist. How would you expect the dentist to respond to this patient? Reread lines 88-100. What transformation has taken place? What assumptions had you made about the characters that had to be changed? Support your answer with explicit textual evidence and commentary (reflection). Why does volcanic rock not contain many fossils Yesterday, between noon and midnight, the temperature decreased by 27.2F. If the temperature was -8.6F at midnight, what was it at noon? * how are the ideas of Thomas hobbes and John locke similar and different? plz help i need to rase my grade