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
kkurt [141]
1 year ago
5

Find the locus of a point P which moves so that the sum of squares of squares of its distance A(3,0)and B(-3,0) is 4 times the d

istance between A and B​
Mathematics
1 answer:
Sonbull [250]1 year ago
3 0

Based on the calculations, the equation for the locus of these points is equal to x² + y² = 9.

<h3>How to find the locus of a point?</h3>

First of all, we would determine the distance between points A and B as follows:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-3 - 3)² + (0 - 0)²]

Distance = √[-9² + 0]

Distance = √81

Distance = 9.

Four (4) times the distance between points A and B​ is given by:

Distance = 9 × 4

Distance = 36.

Translating the word problem into a mathematical expression, we have:

a² + b² = 36

Also, from the distance formula we have:

a = √[(h + 3)² + (k - 0)²]

a² = h² + 6h + 9 + k²    

Similarly, b² is given by:

b = √[(h - 3)² + (k - 0)²]

b² = h² - 6h + 9 + k²

Equating the equations, we have:

a² + b² = 36

h² + 6h + 9 + k² + h² - 6h + 9 + k² = 36

2h² + 2k² = 36 - 18

2h² + 2k² = 18

Dividing both sides by 2, we have:

h² + k² = 9   ⇒ x² + y² = 9.

Read more on locus of a point here: brainly.com/question/23824483

#SPJ1

You might be interested in
Find the slope of the line
Daniel [21]

Answer:

The slope of the line is -3/2 or -1.5

Step-by-step explanation:

y2-y1/x2-x1

-1-2/2-0=

-3/2 or -1.5

6 0
3 years ago
Read 2 more answers
. If you pass a road test, you will get your driver's license.<br>Tamara passed her road test.​
zaharov [31]

Answer:

she gets her drivers license then right?

Step-by-step explanation:

5 0
3 years ago
The United States and Mexico stood on the brink of war until the _________ negotiated the dispute.
Korolek [52]
B. ABC Powers !! :-)
5 0
3 years ago
1) Find 5 points on the line y = 3/5 x - 4 by picking 5 x values, plugging in, and getting 5 y values. You must pick x
Taya2010 [7]
It’s 5 for sure it is
4 0
2 years ago
Mary invests £12000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment a
Nikolay [14]

Answer:

hey i did this on my quiz trust me

Step-by-step explanation

12,362.70 trust me i did this i just dont know exactly how to explain this

5 0
2 years ago
Other questions:
  • six friends are going to buy a pizza. Their chices are to biu 2 medium 10-inch diameter pizzas for 7:00 each, or 1 large 14 inch
    10·1 answer
  • How can I do this exercise? <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B12%7D%20%3D%20%5Cfrac%7Bx%20%2B%201%7D%7Bx%20%2B
    8·1 answer
  • Here’s what they are asking
    14·1 answer
  • Simplify 15y^-7/18y^-3 Assume y≠0
    7·2 answers
  • Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in exponential form by
    11·2 answers
  • Form the quadratic equation whose one root is 2 + 2^(1/2)​
    14·1 answer
  • 2x – 3y = -5
    11·1 answer
  • Need help asaaaap...
    13·1 answer
  • How many feet are in 2.5 miles if there are 1,760 yards in one mile (1 yd = 3 ft)
    6·1 answer
  • What is the volume of the prism?<br> *Do NOT round your answer.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!