The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares?

Q: The product of two numbers is 4 and the sum of their squares is 8.Find the numbers.

A: Assumption of the numbers and their solution helps to find the required numbers. Addition of the…

Q: The average height of mountain A is 14,240ft, and it’s average height is 8870ft less than the sum of…

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Q: The sum of twice a number and 5 is at most 15. What are the possible values for the number?

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Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: The sum of four consecutive integers is 14 less than 5 times the smallest integer. Find the four…

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Q: When 4 is multiplied by 6 less than a number, the result is 11 more than 6 times the number. What is…

A: equation

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: The sum of the digits of a two-digit number is 11. If the digits are interchanged, the new number is…

A: As many Questions are given, I will solve only the first one. Ans 3. Let the digit at ten's place be…

Q: 5.The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let's find two numbers & smallest possible value of sum of their squares.

Q: The sum of two consecutive even integers is 26. What is the product of the two integers?

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Q: The sum of two numbers is 84, and one of them is 12 more than the other. Find the number?

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Q: The product of 2 consecutive integers is 10 less than 5 times their sum. Find both integers.

A: Let two consecutive numbers are x and x+1

Q: The sum of the digits of a two-digit number is 16. If the digits were reversed; the resulting number…

A: Let the tens digit be x and units digit be y Then x+y = 16              (1) The original number is…

Q: Find three real numbers whose sum is 9 and the sum of whose squares is as small as possible.

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Q: (a) Sum of the areas of two squares is 850 m2. If the difference of their perimeters is 40 m. Find…

A: Let x and y be the sides of two squares. According to the given, Sum of the areas of two squares =…

Q: The sum of two numbers is 1.  What is the smallest possible value of the sum of their squares?

A: Let x be one number, Then other number is 1-x

Q: The sum of the squares of two positive numbers is 29 and the difference of the squares of the…

A: Suppose that the numbers are x and y. Then given that

Q: A two digit number is seven times the sum of its digits. The number formed by reversing the digit is…

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Q: A sum of $700 is to be used to give seven cash prizes to students of a school for their overall…

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Q: The sum of two numbers is 84, and one of them is 12 more than the other.  What are the two numbers?

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Q: The product of two positive numbers is 16. Find the numbers if their sum is least.

A: Given the product of two positive numbers is 16

Q: What is the smallest possible value of the sum of their squares if the sum of two positive numbers…

A: see below the explanation and answer

Q: A 2-digit number is 10 times the sum of its digits. The tens digit is 2 greater than the units…

A: given:

Q: What are the dimensions of a rectangle whose length is 4 more than twice the width and whose…

A: Given the data:

Q: The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the…

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Q: . The sum of two numbers is 21. If the product of one of the numbers by the square of the other is…

A: Given that sum of two numbers is 21. and the product of one of the numbers by the square of the…

Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: The product of two numbers is 25. What is the smallest possible sum of their squares?

A: Given information: The product of two numbers is 25.  Calculation: Consider x and y are two numbers.…

Q: The sum of a student's three scores is 204.if the first is 13 point more than the second, and the s…

A: I have just use the given information and find that  First score = 76

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The sum of two numbers is 10 and their product is 24. Find the numbers.

A: The sum of two numbers is 10 and their product is 24.

Q: The sum of two numbers is 10. Find the maximum product of the first number and the second number.

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Q: One integer is 5 more than another integer. The sum of their squares is 233. What are the integers?

A: We are given with some conditions which can be used to find the numbers by finding the equations

Q: One positive integer is 4 less than twice another. The sum of their squares is 277. Find the…

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Q: The sum of the square of a number and 12 times the number is −27. Whatis the smaller possible value…

A: Let the number is = x So, The sum of the square of a number and 12 times the number is −27 is…

Q: why can’t the sum of two numbers never be zero?

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Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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Q: The sum of two consecutive odd integers is 308 what is the smallest integer ?

A: Given that The sum of two consecutive odd integers is 308 To find The smallest integer

Q: The sum of two numbers is 14.If the product of these numbers is 48,what are the numbers?

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Q: The sum of two positive numbers is 18. What is the smallest possible value of the sum of their…

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Q: A certain number is 4 less than another number. If the sum of the two numbers is 48, what are the…

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Q: The sum of two positive number is 16. What is the smallest possible value of the sum of their…

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Q: The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to…

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Q: The sum of  a two digit numbers and the number obtained by receiving the order of its digits is 165…

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Q: A number with two digits is equal to four times the sum of its digits. The number formed by…

A: Let x be at the unit place and y is at the tens place. So, the original number is: 10y+x The…

Q: The playing field for a particular spprt is rectangle whose length is 5 feet more than twice the…

A: To find sides of rectangular  playing field.

Q: The sum of 2 times a number and twice its reciprocal is . Find the number(s).

A: To Determine: find the number  Given:  the sum of 2 times a number and twice its reciprocal is 203.…