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Tcecarenko [31]
3 years ago
6

The square root of a number consisting of two digits isequal

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

81

Step-by-step explanation:

Let the digits that make up the number be a and b.

Given that the square root of the number is equal to the sum of the digits.

Then,

√(10a + b) = a + b

Also given that the square root of the number is less than the number obtained by  interchanging the digits by 9, then

√(10a +b) + 9  = 10b + a

Since √(10a + b) = a + b, then

a + b + 9 = 10b + a

a - a + 9 = 10b - b

9b = 9

b = 1

since √(10a + b) = a + b

√(10a + 1) = a + 1

10a + 1= (a + 1)²

10a + 1 = a² + 2a + 1

a²  + 2a - 10a + 1 - 1 = 0

a² - 8a = 0

a(a - 8) = 0

a = 0 or a = 8

Using a = 8 and b = 1,

the number 10a + b = 10(8) + 1 = 81.

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Find the complete factorization of the expression. 48x + 56xy A) 8x(6 + 7y) B) 8x(7 + 6y) C) 8xy(6 + 7) D) 8xy(13)
mel-nik [20]
Hello there!

The expression:48x+ 56xy

We know we can't add them together since 56 is being multiplied by y. We aren't going to combine 48x and 56xy. They will remain separate terms. 

We know that "C" and "D" are not the answers. 

However, we can check the following expressions to see if they match the given expression.

8x(6+7y)= 8x*6= 48x  8x*7y= 56xy <=== "A" is correct

"A" is the correct answer. 

I hope this helps!
~kaikers


4 0
3 years ago
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
OLga [1]

50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

Step-by-step explanation:

Given,

Weight of small box of paper = 50 pounds

Weight of large box of paper = 80 pounds

Total weight of boxes = 1750 pounds

Let,

x represent the number of small boxes of papers.

y represent the number of large boxes of papers.

According to given statement;

50x+80y=1750

y = x+4  

50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

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In the picture below, what is the angle relationship of &lt;5 and &lt;3 ?
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Answer:

4 and 3

Step-by-step explanation:

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