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To determine the slope of a line that is perpendicular to another given line, you must first find the slope of the original line. Every line can be represented mathematically by the equation of a line in the form of y = mx + b, where m represents the slope and b represents the y-intercept. … Read more

To solve the equation 3x + 10 + x + 4 – x + 12 – 2x – 5 + 6 – 18 = 0, we first need to simplify it. Let’s start by combining like terms. The equation consists of the variable x and constant numbers. Let’s group the terms: Combine the x terms: … Read more

To determine the value of n in the context of a parallelogram defined as ABCD, we need to look at the properties of parallelograms. Recall that in a parallelogram, opposite sides are equal in length, and opposite angles are equal in measure. Additionally, the sum of the interior angles of any quadrilateral is 360 degrees. … Read more

The measure of angle AFE can be determined from the provided options. To find the correct measure, we will assume that the question involves a geometric figure where angle AFE is specified as one of the angles in a triangle or another polygon, or in relation to other angles. In general, the sum of the … Read more

To find the equation of a parabola when you know its vertex and focus, you need to start by understanding the basic properties of parabolas. A parabola is defined as the set of all points that are equidistant from a fixed point called the focus and a fixed line known as the directrix. The standard … Read more

In a right triangle, the side opposite the right angle is known as the hypotenuse. This side is unique because it is always the longest side of the triangle, and it plays a crucial role in various mathematical concepts, particularly in trigonometry. The right triangle consists of three sides: the two legs and the hypotenuse. … Read more

In the hexadecimal numbering system, the number 16 is represented as 10. This may seem a bit surprising, especially if you’re more familiar with decimal (base 10) numbers, where 16 is simply 16. The hexadecimal system is a base-16 system, which means it uses 16 different symbols to represent values. These symbols include: 0, 1, … Read more

Factors of the Polynomial x³ + 5x² + 2x – 8 To find the factors of the polynomial x³ + 5x² + 2x – 8, we can follow a systematic approach: Step 1: Factorization Process First, we’ll use the Rational Root Theorem to identify potential rational roots. The Rational Root Theorem suggests that any possible … Read more

The vertex of an absolute value function represented by a set of points can be identified through careful analysis of the data provided. In this case, the numbers you’ve provided appear to be a sequence of points that could correspond to coordinates in a 2D space. To determine the vertex, let’s first clarify that the … Read more

To find the product of the expression 3a, 24a², 2a, and 9, we will multiply these terms together step by step. 1. **Identify the coefficients and variables:** Coefficients: 3, 24, 2, and 9 Variables: a, a², and a (remember that a can be thought of as a¹) 2. **Multiply the coefficients together:** 3 * 24 … Read more