devyy Rewriting the Equation in Standard Form The given equation is: x² + y² + 8x + 22y + 37 = 0 To express this equation in standard form, we need to reorganize the expression by completing the square for both the x and y terms. Step 1: Group the x and y terms First, we … Read more
To determine the missing term in the sequence 10x, 4x², 7x, 3x, 6x², we should first analyze the pattern or arithmetic involved in the sequence. Let’s break it down: The first term is 10x
To determine the slope and the y-intercept of the equation y = 3x + 10, we can refer to the standard form of a linear equation, which is expressed as y = mx + b. In this formula: m represents the slope of the line b signifies the y-intercept, or where the line crosses the … Read more
To solve the equation 2y = 3x – 4y + 20, we can follow these steps: First, let’s rearrange the equation by moving all terms involving y to one side and the other terms to the opposite side. We can do this by adding 4y to both sides: 2y + 4y = 3x + 20 … Read more
Graphing a relation along with its inverse is a visually appealing way to understand the relationship between two sets of data. To begin, you’ll need to follow a series of steps carefully for clarity and precision. Step 1: Understand the Relation First, you need to identify the relation you want to graph. A relation can … Read more
To determine which equations have a leading coefficient of 3 and a constant term of 2, let’s analyze each of the given options: 0: This is a constant and does not have a leading coefficient nor a constant term of 2. Thus, this option does not apply. 3x²: This is a quadratic equation where the … Read more
To determine the probability of an event not occurring, you can use the simplistic concept of complementary probability. The principle here is that the total probability of all possible outcomes must equal 1. In this case, if the probability of the event happening (denoted as P(A)) is 0.42, we can denote the probability of the … Read more
The equation of the parabola can be represented in the standard form of a vertical parabola as follows: x² = 4py In your case, the equation is given as: x² = 20y From the standard form, we can identify that 4p = 20. To find the value of p, we simply divide by 4: p … Read more
Finding f(x) over g(x) To find f(x) over g(x), we need to divide the polynomial function f(x) by g(x): First, we define the functions: f(x) = 16×5 – 48×4 – 8×3 g(x) = 8×2 Next, we perform the division: f(x) / g(x) = (16×5 – 48×4 – 8×3) / (8×2) We can simplify this by … Read more
An isosceles triangle is a type of triangle that has at least two sides of equal length. In this case, we are considering a specific relationship between the lengths of the sides. When we state that the base of the isosceles triangle is half as long as the two equal sides, we are defining a … Read more