The greatest common factor (GCF), also known as the greatest common divisor (GCD), of a set of numbers is the largest number that divides all the numbers in the set without leaving a remainder. To find the GCF of 42, 126, and 210, we can use two methods: prime factorization and the listing of factors. … Read more
Let’s break down the problem to find the two numbers step-by-step. We are given two key pieces of information: The difference between the two numbers is 25. The smaller number is 16 more than the larger number. Let’s denote the larger number as X and the smaller number as Y. Based on the information provided, … Read more
In mathematics, the term standard form can refer to different concepts depending on the context in which it is used. Here are two common usages: 1. Standard Form of a Number: In the context of numbers, standard form is a way of writing numbers that makes them easier to read and compare. For instance, the … Read more
The distributive property of multiplication is a fundamental algebraic principle that states you can distribute a multiplication operation over addition or subtraction. In simpler terms, it allows you to multiply a number by a sum or difference by multiplying each addend or subtrahend individually and then summing or subtracting the results. The formal expression of … Read more
The unit circle is a circle of radius 1 centered at the origin (0, 0) on a coordinate plane. To find the terminal point corresponding to an angle of 3π/4, we need to understand how angles are represented on the unit circle. First, the angle 3π/4 radians is equivalent to 135 degrees. This angle is … Read more
To find five rational numbers between 1 and 2, we can select fractions or decimals that fall within that range. Here are five examples: 1.2 1.4 1.6 1.75 1.9 Each of these numbers is rational because they can be expressed as a fraction of two integers. For example: 1.2 = 12/10 1.4 = 14/10 1.6 … Read more
When we say that two variables are directly related, we mean that there is a positive correlation between the two. This means that as one variable increases, the other variable also increases, and conversely, as one variable decreases, the other variable also decreases. This relationship can often be quantified using a linear equation, which expresses … Read more
To solve the quadratic equation 2x² + 4x + 7 = 0 using the quadratic formula, we first need to identify the coefficients of the equation. The standard form of a quadratic equation is: ax² + bx + c = 0 For our equation: a = 2 b = 4 c = 7 Next, we … Read more
A leap year consists of 366 days, which is one day more than a standard year that has 365 days. The extra day is added to the month of February, making it 29 days long instead of the usual 28. The concept of a leap year was introduced to help synchronize the calendar year with … Read more