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
Anna11 [10]
2 years ago
9

For the point Pleft parenthesis 5 comma 2 right parenthesis and Qleft parenthesis 12 comma 7 right parenthesis​, find the distan

ce​ d(P,Q) and the coordinates of the midpoint M of the segment PQ.
Mathematics
1 answer:
Viktor [21]2 years ago
3 0

<u><em>Answer:</em></u>

The distance is \sqrt{74} which is approximately equal to 8.602 units

The midpoint is (8.5 , 5.5)

<u><em>Explanation:</em></u>

<u>1- Getting the distance:</u>

<u>The distance between two points can be calculated using the following rule:</u>

Distance = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}

<u>The given points are:</u>

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

<u>Substitute with the givens in the above equation to get the distance as follows:</u>

Distance = \sqrt{(12-5)^2+(7-2)^2}=\sqrt{74} = 8.602 units

<u>2- Getting the midpoint:</u>

<u>The midpoint of two points is calculated as follows:</u>

Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})

<u>The given points are:</u>

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

<u>Substitute with the givens in the above equation to get the distance as follows:</u>

Midpoint = (\frac{5+12}{2} , \frac{2+7}{2}) = (8.5 , 4.5)

Hope this helps :)

You might be interested in
What is the answer to 8 - 3 14/15.show work
Luden [163]
The answer is 4 1/15
7 0
3 years ago
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How
nekit [7.7K]

Answer:

The frequency is 3 more than expected.

7 0
2 years ago
If a bank offers an annual interest rate for the money in your checking account but pays interest monthly that is the annual int
Art [367]
There are 12 months in a year.... so divide apr by 12....
8 0
3 years ago
25 POINTS! Find the value of x
elena-s [515]

Answer:

x=7

Step-by-step explanation:

18x-3=17x+4

simplify

×=7

5 0
3 years ago
What is (-2)( 3 4/7)<br><br> A)-7 1/6<br><br> B)-6 6/7<br><br> C)-2 3/7<br><br> D)-1 2/7
Elan Coil [88]

Answer: The answer is most likely A.

Step-by-step explanation:

The expression (-2) x (3 4/7) is equal to:

-50/7 (exact form)

-7.14285714286 (decimal form)

-7 1/7 (mixed number form)

6 0
2 years ago
Other questions:
  • Evaluate |-x - 2y| for x =-2 and y =3
    5·2 answers
  • What is the length of segment AB?
    8·1 answer
  • What is the value of x?
    5·2 answers
  • Change 0.150 to a fraction.
    10·2 answers
  • Find the sum of 14 + 8 + 2+ ... + ( 274) + (-280).
    11·1 answer
  • What is the following sum?
    10·2 answers
  • A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.
    15·1 answer
  • Help please now help dont be childish will banned ​
    6·1 answer
  • BRAINLIEST TO THE CORRECT ANSWER! 20 POINTS!!
    9·2 answers
  • °CORRECT ANSWER SHALL RECEIVE POINTS+BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!