Chapter 9 Flashcard Prep

Front

What is the formula to find the missing side of a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

If a = 12 and b = 35, how do you find c in the equation a + b = c?

Back

Add a and b: c = a + b = 12 + 35 = 47.

Front

What is the cube root of -512?

Back

The cube root of -512 is -8.

Front

What number cubed equals -216?

Back

The number is -6, since (-6)³ = -216.

Front

How do you find the length of a missing side in a triangle?

Back

Use the Pythagorean theorem or other relevant geometric principles.

Front

Back

m = -8.

Front

What is the definition of a cube in mathematics?

Back

A cube is a number raised to the power of three (n³).

Front

What is the relationship between the sides of a right triangle?

Back

The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

If n³ = -216, what is n?

Back

n = -6.

Front

What is the significance of negative numbers in cubing?

Back

Cubing a negative number results in a negative product.