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
polet [3.4K]
3 years ago
11

One number is 6 more than anouther number. the sum of their squares is 90

Mathematics
1 answer:
Flura [38]3 years ago
6 0
Let x = greater number
      y = smaller  number

(1) x = y + 6

(1) y = x-6

(2) x^{2} + y^{2} = 90
We'll substitute y in (1) to (2)
(2) x^{2} +  (x-6)^{2} = 90
     x^{2} +  (x^{2} - 12x + 36) = 90
     x^2 + x^2 -12x + 36 - 90 = 0
     2x^2 - 12x -54 = 0

     2(x^2 - 6x - 27) = 0
     2(x - 9)(x + 3) = 0
 x - 9 = 0        or      x + 3 = 0
      x = 9                        x = -3
and
 y = x - 6                  y = x - 6
 y = 9 - 6                  y = -3 - 6
 y = 3                        y = -9

Therefore, the two numbers can be 9 and 3 or -3 and -9.

      
You might be interested in
Please help this is so confusing
AURORKA [14]

Answer:

Triangle #2

Step-by-step explanation:

Translation involves the movement of a triangle without changing its direction or shape. It basically involves the sliding of a triangle, so Triangle 2 satisfies the definition of translation.

6 0
3 years ago
Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value
kondaur [170]
<h3>Answer:  false</h3>

Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

The result of an 'or' operation is false only when both parts are false; otherwise, it is true

(s or -p) or r = false or false = false

(s or -p) or r = false

8 0
3 years ago
June and Angad have played 30 tennis matches.
Bad White [126]

Answer:

Step-by-step explanation:

a) P (June) = 7/15

b) P (Angad) = 8/15

7 0
2 years ago
Un vehiculo parte del reposo con una velocidad constante de 2 m/seg 2 y se mueve durante 5 segundos, su desplazamiento durante e
Andreas93 [3]

Answer:

The BLM presents awards to companies that minimize negative effects on the environment while mining natural resources. One such award is called the Hardrock Mineral Environmental Award. The BLM awards it to the mining company that has best fulfilled federal, state, or local requirements with little help from government agencies.

How does giving this award help the BLM more effectively manage land resources?

It prevents the companies from mining land resources such as gold and coal.

It informs companies about which minerals can be mined and which cannot be mined.

It encourages companies to follow rules set by government agencies.

It educates the companies about ways hard rock mining can destroy land resources.

7 0
3 years ago
X X X X X X X Barrette Length (inches) What would be the total length of the 24-inch barrettes if Mikayla places them end-to-end
svlad2 [7]
B or d are most likely it I could be wrong if I am, I am so sorry:)
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 105,159 round to the nearest ten thousand is
    12·1 answer
  • How do you solve for x in x^2+5x=36
    6·2 answers
  • Solve for the missing variable :&gt; thank you​
    7·1 answer
  • How to find percentage of area
    13·1 answer
  • Find the 9th term of the geometric sequence whose common ratio is ⅔ and whose 1st term is 2. BRANLIEST ASAP TY!!!​
    9·1 answer
  • How to find a slope of a line on a graph
    8·1 answer
  • A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest
    6·2 answers
  • Can someone help me really please
    14·2 answers
  • No links or weird answers, please :(<br> Are all of these graphs functions? Explain why or why not.
    13·1 answer
  • Who's interested in helping?​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!