To determine the new coordinates of the point (17, 14) after a rotation of 270 degrees counterclockwise about the origin, we can use the standard rotation formulas. When a point (x, y) is rotated by an angle θ, the new coordinates (x’, y’) can be calculated by: x’ = x * cos(θ) – y * … Read more
To convert the fraction 13/9 into a mixed number, follow these steps: Divide the numerator by the denominator: In this case, divide 13 (the numerator) by 9 (the denominator). When you do this division, you find that: 13 ÷ 9 = 1 with a remainder of 4. Determine the whole number and remainder: The result … Read more
In mathematics, any non-zero number raised to the power of 0 is always equal to 1. This rule applies to all numbers, including 7. Therefore, 7 to the power of 0 is 1. This concept can be understood through the rules of exponents. When you raise a number to a power, you are essentially multiplying … Read more
To convert the fraction 2/3 into a fraction with a denominator of 9, we need to follow a simple process that involves finding an equivalent fraction. First, we can understand that our goal is to change the denominator from 3 to 9. To do this, we need to determine the factor that will allow us … Read more
To convert the improper fraction 13/4 into a mixed number, you need to follow a few simple steps: Divide the numerator by the denominator: Divide 13 by 4. The result is 3 with a remainder of 1. Write down the whole number: The whole number part of the mixed number is the result of the … Read more
To convert centimeters to meters, you need to know the basic conversion factor: 1 cm equals 0.01 meters. This means that every centimeter is one-hundredth of a meter. To put it simply, if you have 1 centimeter, you can express this in meters as: 1 cm = 0.01 m When you’re dealing with measurement conversions, … Read more
To find the inverse of the function f(x) = 2x + 1, we follow a systematic approach: Replace f(x) with y: Start by rewriting the function as y = 2x + 1. Swap the variables: To find the inverse, we switch x and y. This gives us: x = 2y + 1 Solve for y: … Read more
To convert feet to inches, you can use the simple conversion factor where 1 foot is equal to 12 inches. Therefore, to find out how many inches are in 5 feet, you just need to multiply the number of feet by the number of inches in one foot. Here’s the calculation: 5 feet × 12 … Read more
Yes, it is true that every integer is a rational number. To understand why, let’s break down the definitions. A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the numerator is an integer and the denominator is a non-zero integer. This means that … Read more