devyy To rewrite the inequality 6x + 2y ≤ 46 in slope-intercept form, we need to isolate y on one side of the inequality. Slope-intercept form is typically structured as y = mx + b, where m represents the slope and b denotes the y-intercept. Here are the detailed steps to perform the conversion: Start with … Read more
To write the equation of a line that passes through two points, you can use the two-point form of a line equation. The basic steps are as follows: Identify the points: In this case, the points are (1, 3) and (2, 2). Calculate the slope (m): The slope formula is m = (y_2 – y_1) … Read more
The simplest form of a factor tree for the number 1225 involves breaking it down into its prime factors. Here’s a step-by-step explanation of how to create the factor tree and find the simplest form: Step 1: Determine if 1225 is divisible by smaller prime numbers First, let’s check if 1225 is divisible by the … Read more
To determine the value of the constant b when x² is a factor of the expression x² + bx + b, we can use the rules of polynomial factorization. Since x² is a factor, this means that we can express the given polynomial as: (x²)(Ax + B), where A and B are constants. This means … Read more
To complete the square for the quadratic equation x² + 6x + 9 = 0, follow these steps: Start with the equation: x² + 6x + 9 = 0. Notice that the expression on the left side can be expressed as a perfect square. The expression x² + 6x + 9 can be factored. The … Read more
To write the equation of a line in point-slope form, we use the formula: y – y1 = m(x – x1) Here, (x1, y1) is a point on the line, and m is the slope. In your case, the point provided is (4, 4), meaning x1 = 4 and y1 = 4. The slope m … Read more
To solve the equation 9x = 27, we need to isolate the variable x. Here are the steps: Start with the original equation: 9x = 27. To isolate x, divide both sides of the equation by 9: x = 27 / 9 Now perform the division: x = 3 Therefore, the solution to the equation … Read more
The inequality 2x ≤ 10 can be solved step by step to understand what values of x satisfy the inequality. Step 1: Solving the Inequality To isolate x, divide both sides of the inequality by 2: x ≤ 5 This inequality means that x can take on any value that is less than or equal … Read more
In a circle, angles can be classified into various types based on their position and relation to the circle. In the case of angle LMN in circle A, we need to determine its measure based on its position relative to the circle and any relevant properties of circles and angles. First, if angle LMN is … Read more