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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

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Is this right? and if so. how
Murrr4er [49]
You answer is correct. For example

Even:
16+4 = 20

194+4=198


Odd:
13+4=17

235+4=239
3 0
3 years ago
If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Mumz [18]

Answer:

91.8 feet^3

Step-by-step explanation:

We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).

Area of circle formula: pi x r^2

3.14 x 1.5^2 = 7.065

Now we can multiple it by the height and round to the nearest 10th.

7.065 x 13 = 91.845

91.845 -> 91.8

Hope this helps! Brainliest?

6 0
3 years ago
Read 2 more answers
Given CDEFG ≌ HIJKL and CD = 12, DE = 13, EF = 10, FG = 11, and GC = 8, what is HI?
Licemer1 [7]
CDEFG \cong HIJKL \Rightarrow\overline{HI}=\overline{CD}
\\\Downarrow\\ \overline{HI}=12


5 0
3 years ago
15/10 to a mixed number
tensa zangetsu [6.8K]
First, we have to find how many times 10 goes into 15.

We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.

Now, we can simplify!

In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)

1*5

1*10
2*5

The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.

5/5=1
10/5=2

So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)

We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.

1*2=2
2+1=3

Keep the denominator as 2.

The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!

So, our answer is 1 1/2.

I hope I helped! :)
3 0
3 years ago
X–2 1/2=6 3/4. X=?<br><br> x – 3.23 = 0.77. X=?
Over [174]

Answer:

x= 105/4

x=4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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