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Julli [10]
3 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]3 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

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Answer:

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Step-by-step explanation:

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To get the total cost of popsicles, we need to multiply the number of popsicles bought by the price of each popsicles

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4 0
3 years ago
4. Find the solution to each equation mentally.
White raven [17]
A, 10. b,-300. c, -1. d, -3567.
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5 0
3 years ago
Read 2 more answers
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Blababa [14]
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6 0
4 years ago
A wildlife preserve raised $1664 at a fundraiser.all of the fund will be equally shared among 8 exhibits at the preserve.how muc
prisoha [69]
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7 0
3 years ago
A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route
Darya [45]

The cat will take 0.8 seconds  to catch up with the mouse

Step-by-step explanation:

Given:

The  distance between the cat and the mouse =  4 feet

cat's speed  = 17 feet per second.

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Solution:

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Thus the time is

= \frac{4}{5}

= 0.8 seconds

4 0
3 years ago
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