17. The difference of two numbers is 2. The difference of their squares is 44. Find...
8. Find all pairs of numbers whose sum of squares is 14 and whose difference of squares is 4.
Describe the process of the difference of two squares. In your opinion what makes a difference of two squares easy to factor? First, define a perfect square. Then, indicate what to look for to confirm that you have a difference of squares. Finally , give an example, possibly one where you need to factor out a GCF ( greatest common factor) before using a difference of squares. How can we use difference of squares repeatedly to factor a difference of...
Solve the problem using a system of equations in two variables. Find two positive numbers whose squares have a sum of 25 and a difference of 7. h The two numbers are 1 (Use a comma to separate answers.)
7. Find the probability that the difference in squares 2 -y2 of two random integers z, y is divisible by 3. ( (Hint: An integer is divisible by 3 iff the remainder of division by 3 is 0. Observe that a-y and (+3t)-(y+3s) are both divisible by 3 at the same time, no matter s,t the function f(r,y) Z. Thus, to build the sample space, it suffices to consider [2,2-v2],-x2-y2 mod 3 for x, y e z,-10]s, [1], [2]a), i.e.,...
Design an algorithm which finds the difference A - B of two sets of integer numbers, A-{a!, a2, , an] , B = {bi, b2, ,bn} (the difference A-B is a collection of such elements of A which are not elements of B). Consider two cases, when the sets A and B are ordered and when they are not ordered.
4. Prove that every odd number is the difference of two perfect squares.
QUESTION 3 Find two numbers whose difference is 90 and whose product is a minimum. 40 and 130 90 and 0 50 and 40 45 and -45
ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find the difference between the...
16.5 pts Question 6 Find the value of x in the following squares: 18. 16. 17 18 1 X 16) 17) 18)
Use a calculator to find the mean and standard deviation of these two sets of numbers: 4, 0, 1, 4, 2, 1 5, 3, 1, 6, 9, 2 Which data set is more variable? (Show hand calculations)