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Magazine Problem 1
Describe the square root function.
Problem 1
Explain the difference between an axiom and a theorem.
Problem 2
Explain how you can use the Pythagorean theorem to find the distance between any two points in a coordinate plane.
Problem 3
Is 36 a solution of \(\sqrt{x}=-6 ?\) Why or why not?
Problem 10
Find the domain and the range of the function. $$y=\sqrt{x}$$
Problem 11
Solve by completing the square. $$x^{2}+14 x+13=0$$
Problem 39
A field hockey field is a rectangle 60 yards by 100 yards. What is the length of the diagonal from one corner of the field to the opposite corner?
Problem 43
Find the midpoint between the two points \((0,-3),(-4,2)\)
Problem 46
Use the fact that a Pythagorean triple is a group of three integers, such as 3, 4, and 5, that could be the lengths of the sides of a right triangle. Find two other Pythagorean triples that are not multiples of 3, 4, 5 or of each other.
Problem 47
Use the fact that a Pythagorean triple is a group of three integers, such as 3, 4, and 5, that could be the lengths of the sides of a right triangle. Notice that \(3 \cdot 4 \cdot 5=60 .\) Is the product of the three numbers in each Pythagorean triple evenly divisible by \(3 ?\) by \(4 ?\) by \(5 ?\)
