devyy To find the surface area of a square pyramid, you can use a straightforward formula that combines both the area of the base and the area of the triangular faces. The formula for the surface area (SA) of a square pyramid is: SA = b² + 2 * (b * l / 2) where: b … Read more
When delving into the world of mathematics, it’s essential to understand the fundamental differences between an equation and an expression. Here’s a comprehensive breakdown: What is an Expression? An expression is a mathematical phrase that combines numbers, variables, and operators (such as +, −, ×, ÷) but does not contain an equality sign. Expressions can … Read more
To factor the polynomial expression 3x² + 5x + 1, we need to find two numbers that multiply to the product of the coefficient of x² (which is 3) and the constant term (which is 1), so 3 * 1 = 3. Additionally, we need these two numbers to add up to the coefficient of … Read more
The expression x2y2 can be simplified using the properties of exponents. Here are the steps to correctly simplify this expression: Identify the coefficients: In the expression, there are no additional coefficients in front of x and y, implying both are equal to 1 by default. Apply the exponent rule: According to the exponent rule, when … Read more
Solving the Equation x² – 20x + 100 = 36 To solve the equation x² – 20x + 100 = 36, we first need to rearrange it in the standard quadratic form. 1. **Rearranging the equation:** We subtract 36 from both sides, giving us: x² – 20x + 100 – 36 = 0. This simplifies … Read more
To expand the expression x(y + 3), you can use the distributive property, which states that a(b + c) = ab + ac. Essentially, you need to multiply each term inside the parentheses by the term outside the parentheses. Starting with the expression: x(y + 3) We can apply the distributive property: Multiply x by … Read more
To determine the next number in the series 5000, 1000, 200, 40, we need to identify the pattern that governs the progression of these numbers. If we observe closely, we can see that each number is being divided by a certain factor to yield the next number: 5000 divided by 5 equals 1000 1000 divided … Read more
To determine how many solutions exist for the equation 3x + 13 = 3x + 6 + 1, we first simplify the equation. Start by simplifying the right-hand side: The right side: 3x + 6 + 1 simplifies to 3x + 7. Now our equation looks like this: 3x + 13 = 3x + 7 … Read more
Understanding the Function y = 5x The function y = 5x is a linear equation, where 5 is the slope of the line and there is no constant term. This means that the line intersects the origin (0,0) and extends infinitely in both directions. Asymptotes of y = 5x In mathematics, asymptotes are lines that … Read more
To calculate the slope of a line that passes through two points, you can use the slope formula: m = (y2 – y1) / (x2 – x1) Where (x1, y1) are the coordinates of the first point and (x2, y2) are the coordinates of the second point. In this case, our points are (2, 5) … Read more