1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmasim [6.3K]
3 years ago
6

Find the length of segment EK and the coordinates of its midpoint if E(13,8) and K(7,2) Round to the

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

Step-by-step explanation:

Given the coordinates E(13,8) and K(7,2), to get the length of the segment EK, we will use the formula for calculating the distance between two points expressed as:

D = √(x2-x1)²+(y2-y1)²

Given

x1 = 13, y1 = 8, x2 = 7, y2 = 2

EK =√(7-13)²+(2-8)²

EK = √(-6)²+(-6)²

EK = √36+36

EK = √72

EK = √36×√2

EK = 6√2

EK = 8.485

EK ≈8.5 (to the nearest tenth)

Hence the length of segment EK is 8.5

For the midpoint, the expression will be used

M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

M(X,Y) = (13+7/2, 8+2/2)

M(X,Y) = (20/2, 10/2)

M(X,Y) = (10,5)

Hence the coordinates of its midpoint is (10,5)

You might be interested in
At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0
3 years ago
Transversal relations
Shalnov [3]

Answer:

The answer is 75

Step-by-step explanation:

By way of parallelism

x + 15 = 90 \\ x = 75

7 0
2 years ago
Read 2 more answers
Enter the equation of the line in slope-intercept form.
marta [7]

Answer:

y = 4x -18

Step-by-step explanation:

y-2 = 4(x-5)

y = 4x -20+2

y = 4x -18

3 0
3 years ago
Read 2 more answers
A teacher is making worksheets for the next unit. He can create 3 worksheets in an hour and has 10 worksheets already created fr
nirvana33 [79]
Yuh it’s 37 yuh abcdefcsi
4 0
3 years ago
Read 2 more answers
HELP PLEASEEEEEEE!!!!!!!!!!
Julli [10]

Answer:

help with what?

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe
    8·1 answer
  • Which rays form the sides of IHG
    7·1 answer
  • 720 m/day = m/min <br> Show work.
    11·1 answer
  • Solve for y: 1/3y+4=16
    7·2 answers
  • What substation should be used to rewrite 4x^4-21z^2+20=0
    5·1 answer
  • What is eighteen and three fourths divided by two and a half?​
    13·1 answer
  • Calculate the volume<br><br> Please show the steps....
    15·2 answers
  • Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)
    10·1 answer
  • 2 sss, aas, sas, or not enough information
    12·1 answer
  • A department in a factory has three 3/4-horsepower motors, five 1/4-horsepower motors, six 3 1/3-horsepower motors, and eight 1/
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!