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
Fofino [41]
1 year ago
12

Find the distance between the following points using the Pythagorean theorem: (-5, 4) and (8, -3)

Mathematics
1 answer:
3241004551 [841]1 year ago
5 0

First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\  \\ =\sqrt{(8--5)^2+(-3-4)^2} \\  \\ =\sqrt{(13)^2+(-7)^2} \\  \\ =\sqrt{169+49} \\  \\ =\sqrt{218} \\  \\ \approx14.7648... \end{gathered}

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.

You might be interested in
1. AB = 11 and BC = 5. Find AC 2. AC = 16, BC = x + 4, AB = x + 14. Find x
lord [1]
The wording of the question kinda doesn't make sense in some parts, but I'll try anyway. 1 plus 4 is 5, and since BC is 5, x is 1 for BC. -3 plus 14 is 11, so x is -3 for AB.
5 0
3 years ago
Please HELP
jeyben [28]

Answer:

The room is square. This is because it says "diagonal of the floor..." Which means it is from one corner of the room to the opposite end.

Step-by-step explanation:

It says "four wall room" which means it is a square. It also states that each wall meet at a right angle. To through you off this question stated the word 'diagonal' to mess with you when reading this question quickly. If you look more detailed and I like to re-read sentences in order to recognize all the information given. So the Room IS a Square.

3 0
2 years ago
How many cups in a quart?
allochka39001 [22]
4 us customary cups
in one quart
3 0
3 years ago
My Teacher Assigned Me Homework,If You Can Please Help Me To Try To Fiqure Out The Answer To This Problem.
pishuonlain [190]
You got the first part right but you need the end so 4*3*1= 12 feet to turn feet into inch you times by 12 so 12*12=144 inc+99=243 cubic inc i think
6 0
3 years ago
The ratio of the side length of a square perimeter is always 1 to 4 peter drew a sqaure with a perimeter of 28 inches​
Nataly_w [17]

Answer: 32 is the answer

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Triangle KLM was dilated according to the rule
    9·2 answers
  • Let ???? assign each student at your school to a grade level.
    7·1 answer
  • The radius of cylindrical water tank is 4.5 ft, and its height 6 ft, What is the volume of the tank?
    8·1 answer
  • 3. Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely ma
    9·2 answers
  • -
    15·1 answer
  • Write your schedule for today list each activity with with it starting to write
    9·1 answer
  • You have a total of 80 dollars to spend on groceries. You spend some money on meat and then spend 52 dollars on everything else.
    12·2 answers
  • Find the missing length indicated
    13·1 answer
  • HELP PLZ IM GIVING 25 BRAIN:EIST PLZZZ
    12·2 answers
  • 3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!