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
Julli [10]
2 years ago
5

The sum of Two numbers is 9. The sum of the squares of the numbers is 41. Find the numbers.

Mathematics
1 answer:
Tju [1.3M]2 years ago
3 0

Answer:

4 and 5

Step-by-step explanation:

Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"

X + Y = 9   {equation 1}

X² + Y² = 41  {equation 2}

from equation 1:  y = 9-x

Substitute that into equation 2

x² + (9-x)² = 41

x² + 81 - 18x + x²= 41

2x² - 18x + 40 = 0

We can factor out a 2

x² - 9x + 20 = 0

(x-5)(x-4) = 0

x = 5 or 4

checking

Your two numbers are 4 and 5

4² + 5² 

= 16 + 25

= 41

You might be interested in
PLEASE can someone explain why The exact value of sec ( π/6) is 2 /√ 3 ??
Umnica [9.8K]
\bf sec\left( \frac{\pi }{6} \right)\qquad recall\to sec(\theta)=\cfrac{1}{cos(\theta)}\qquad thus
\\\\
sec\left( \frac{\pi }{6}\right)\iff \cfrac{1}{cos\left( \frac{\pi }{6}\right)}
\\\\\\
\textit{check your Unit Circle for what the }cos\left( \frac{\pi }{6}\right)\ is
\\\\\\
\cfrac{1}{\frac{\sqrt{3}}{2}}\implies \cfrac{\frac{1}{1}}{\frac{\sqrt{3}}{2}}\implies 
\cfrac{1}{1}\cdot \cfrac{2}{\sqrt{3}}\implies \cfrac{2}{\sqrt{3}}
3 0
3 years ago
Hello everyone if you could help me that would be awesome
Viktor [21]

I don’t think I can help you sorry
4 0
3 years ago
Read 2 more answers
John ate 40% of the candies in a bag. If John ate 20 candies , how many candies were total in the bag ?
mina [271]

Answer:50

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Gianni added 1 3/4 cup of pecans and 1 1/3 cup of walnuts to a recipe. How many cups of nuts did Gianni add to the recipe? I NEE
NikAS [45]
C - 3 1/12

Get a common denominator

3*3 / 4*3 + 1*4 / 3*4

Simplifies into 9/12 + 4/12

Adds to 13/12. 

12 goes into 13 1 time, leaving us with 1 1/12

Add the 1 to the 2 full cups that already existed in the original problem - 3 1/12
5 0
2 years ago
If the sales tax in your city is 11.4%, and an item costs $160 before tax, how much tax would you pay on that item? Round to the
Oksana_A [137]
First we calculate the tax on the item:
11.4%($160) = 11.4(160)/100 = 18.24
hence the tax for the item is $18.24
The total price for the item would be:
160 + 18.24 = 178.24
hence the total price for the item including tax is:
$<span>178.24</span>

7 0
3 years ago
Other questions:
  • A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will
    8·1 answer
  • Can you help me with the Anabella question pls
    11·2 answers
  • Select all of the expressions that are equivalent to 4√5
    10·1 answer
  • Plot the following linear equations and then plot the solution.
    8·2 answers
  • Please help me i am begging you. its one question. I WILL GIVE BRAINLIEST!!!!!
    14·1 answer
  • I NEED HELP NOW!!
    8·1 answer
  • Ill mark brainlist plss help
    11·1 answer
  • 380% of what is 99? (Round to the nearest whole number)
    5·2 answers
  • Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressi
    5·1 answer
  • Solve for x in the following problem: 9 = 3/5x
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!