Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary

Find The Length Of Segment JK With Endpoints J(4, 8) And K(-1, -2). Leave The Answer As A Radical. Simplify

Answers

Answer 1

Answer:

The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C

Step-by-step explanation:

The formula of the distance between the two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

Let us use the formula above to solve the question

∵ Jk is a line segment

∵ J = (4, 8) and K = (-1, -2)

x1 = 4 and y1 = 8

x2 = -1 and y2 = -2

→ Substitute them in the formula above

∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]

∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]

∴ Jk = [tex]\sqrt{25+100}[/tex]

Jk = [tex]\sqrt{125}[/tex]

→ Simplify the root

∵ 125 = 5 × 5 × 5

∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]

JK = 5[tex]\sqrt{5}[/tex]

The length of segment JK is 5[tex]\sqrt{5}[/tex]


Related Questions

I need the answer can someone please help me!!

Answers

Answer:

13.5 units^2

27/2 units^2

Step-by-step explanation:

multiply 27/5 and 5/2

the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2

x-y> -3
2x + y<6
help plsss it’s for a quiz it’s algebra 2

Answers

Answer:

Hello!

Step-by-step explanation:

Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!

Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each and child tickets $7 each. Which system of equations below will determine the number of child tickets, and the number of adult tickets, a, he bought?

Answers

Answer:

434.60

Step-by-step explanation:

Hannah filled her car at the gas station. She
bought 48.3 L, and her bill was $37.43.
What was the price of the gasoline, in cents
per litre ?

Answers

Answer:

43.43/43

Step-by-step explanation:

I have never really watched anime but I have been thinking to start watching it soooo does anyone have suggestions?

Answers

Answer:

yeah watch my hero academy One punch man n Naruto also Dragon Ball Z

Answer:

It’s not really an amine but avatar the last airbender

Step-by-step explanation:

Attack on titan

One punch man

the devils a part-timer

Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?

Answers

Answer:

90 minutes

Step-by-step explanation:

In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.

x = 200 * (45 / 100)

x = 200 * 0.45

x = 90 minutes

Therefore, Kenzie has already used 90 minutes of video on the flash drive.

43/(-12 + 22
( (2 x 3)2 + (-5 x 2 x 3) + 2
Give your answer in simplest form.

Answers

Answer:

I think it is -1

Step-by-step explanation:

Simplify the problem first.

Let's start with the numerator.

FYI, this, ^, means raised to the power of.

4^3 = 64

-12 + 2^2 = -12 +4 which equals -8

64/-8 = -8

Now simplify the denominator.

(2*3)^2 = 6^2 which equals 36.

-5*2*3 = -10*3 which equals -30

Then add the 2 to the end.

36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.

Your fraction now is:

-8/8

Simplify this and you will get -1 as the simplest form.

Please forgive me if this is incorrect.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

A suitable calculator can find the value for you.

  [tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]

Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin.




Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?

Answers

Answer:

We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)

Step-by-step explanation:

If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] =  tan⁻¹(y/x).

So, the point (x, y) is rotated counterclockwise by an angle of  θ = tan⁻¹ (y/x) to perform both reflections.

determine the slope of the line that passes through the points: f(0)=2 and f(3)=-1

Answers

The slope is -1 and here are the steps :)

WHAT IS THE PRODUCT OF 6 NEGATIVE AND 12 POSITIVE
INTEGERS

Answers

Answer:

-72

Step-by-step explanation:

-6*+12=-72

because - x + = -

Answer:

-72

Step-by-step explanation:

6×-12

-72 (because a×-a=-a)

Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage.

Answers

Answer:

Absolute change = 7.4 million

Relative change percentage = 85.1%

Step-by-step explanation:

Given that:

Number of refugees in 2005 = 8.7 million

Number of refugees in 2015 = 16.1 million

The absolute change :

(Number of refugees in 2015 - number of refugees in 2005)

(16.1 million - 8.7 million) = 7.4 million refugees

The relative change in the number of refugees :

((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%

[(16.1 - 8.7) / 8.7] * 100%

(7.4 / 8.7) * 100%

0.8505747 * 100%

= 85.057%

= 85.1%

A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
A.
$450.75
B.
$300.00
C.
$655.50
D.
$281.25

Answers

Answer:

B

Step-by-step explanation:

14x - 43 = 71 + 8x look for x show work please

Answers

Answer:

x=19

Step-by-step explanation:

14x-43=71+8x         problem

14x=114+8x           add 43 to both sides

6x=114              subtract 8x from both sides

x=19                 divide by 6 to both sides (114/6 =19) x=19

PLEASE HELP ASAP 20 POINTS WILL GIVE BRAINLIEST

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10 m/s wind, how much power does it generate in a 12 m/s
wind?

Answers

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

What is Power?

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

To learn more on Power click:

https://brainly.com/question/2409175

#SPJ2

Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
$38.88
$43.20
$47.52
$48.60

Answers

A 38.88

Trust me it works

38.88 is the correct answer

i have the answer below i got 100%

Find the unit rate. Round to the nearest hundredth, if necessary.

$4.99 for 18 lb

The unit rate is $ ? /lb.

Answers

Answer:

4.99 divided by 18

0.277222222

Rounded to $0.28

5k-2(3k + 4) = 5x + 4
help?

Answers

Use distributive property
5k - 6k -8 = 5x + 4
Combine like terms
-k - 8 = 5x + 4
add 8 to both sides
-k = 5x + 12
k = -5x- 12
k=-5x-12x This is a answer

What is the slope of the line that passes through the points (3,5) and (6, 10)?

A. Y= 573

B. Y= -5/3

C. Y= 3/5

D.Y= -3/5

Answers

I think that the answer is c

Answer 5/3

Explanation

Slope formula   m = y2 - y1  - Rise

                                x2 - x1   - Run          

10 - 5  =    5

6-3     =     3  

I know this is correct. I am not sure why this isn't one of the answers.

The table shows which equation?

Answers

Answer:

C. I think I'm not sure

Step-by-step explanation:

Below are two parallel lines with a third line intersecting them

Answers

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

Use the figure to find the measure of angle 2.

Answers

Answer:

∠ 2 = 70°

Step-by-step explanation:

110° and ∠ 1 are corresponding angles and congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°

im so confused, can someone explain this to me? i suck at math

Answers

Answer:

My guess would be that the slope is -3

Step-by-step explanation:

Based on what I was taught, I would use the formula y2-y1/x2-x1

-7 - 2

---------- = -3

-3 - (-6)

What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?

Answers

Answer:

9/10

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

right on EDG2020 trust me:P

Subtract the shortest length from the longest.
0.81 m
1.08 m
0.8 m
180 cm
18 cm

Answers

Answer would be -179.19 because 0.81 m and 180cm subtracted would give you the answer. 0.81 is the shortest and 180 cm is the longest.
Hope this helps!! :)

Philip's rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Philip's deck in feet? Hint: 1 yard = 3 feet.

Answers

Answer:

18.75 feet

Step-by-step explanation:

Step 1

we find the length of Philip's rectangular deck in yards

The ratio of the width to the length is 4 to 5.

Philip's rectangular deck is 5 yards wide.

Hence,

Hence:

4/5 = 5/x

Cross Multiply

4x = 5 × 5

4x = 25

x = 25/4

x = 6.25 yards

The length of Philip's field = 6.25 yards

Hint: 1 yard = 3 feet.

Converting the yard to feet

1 yard = 3 feet

6.25 yards = x

Cross Multiply

x = 6.25 × 3 feet

x = 18.75 feet

Therefore, the length of Philip's field in feet = 18.75 feet

What is the result of F (X) = - 3 × -3​

Answers

Hello There this is your answer

and hope you a GREAT Thanksgiving :)

F ( X ) = 9

Suppose that an elementary school starts a recycling program. After one year, the school has
reduced its trash from 144,000 pounds per year to 122,400 pounds per year. Find the percent
decrease in the amount of trash.

Answers

Answer:

15% is reduced

Step-by-step explanation:

I always start by finding what 10% and 5% is, after that, I try to see how I can make that into the number subtracted and for this it happened to be 15% I found that 10% was 14,400 and 5% was 7,200 and I found the total amount reduced was 21,600 which is 14,400+7,200 or 10%+5%

A store at the beach sells t-shirts for $19.99. If the shirts are 35% off, what is the amount of the discount

Answers

19.99*.35= 6.99

The discount is $6.99.
$6.99 -discount is .

6.What is the radius of the circle?

Answers

Answer:

Radius is half the diameter of a circle

Step-by-step explanation:

If the diameter was 6, then the radius is 3



Can you please answer for me please need questions answer

Answers

Answer:

decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3

Step-by-step explanation:

Answer:

4 + 2√3

Step-by-step explanation:

x - 2 = √4x

Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2

(x - 2)² = (√4x)²

x² - 4x + 4 = 4x

x² - 8x + 4 = 0

D = (- 8)² - 4(1)(4) = 48 = (4√3)²

[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641

[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root

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