The expression you’re referring to involves finding the square roots of 50 and 18 and then summing these values. Let’s break it down step by step. First, we need to calculate the square roots: The square root of 50 can be simplified. Since 50 is the product of 25 and 2, we can express it … Read more
To determine how many different passwords can be formed with the structure of 2 letters followed by 2 digits, we can break it down into two parts: the letters and the digits. Step 1: Calculate the combinations for the letters We have 26 letters in the English alphabet. Since the password consists of 2 letters, … Read more
To solve for the value of x based on the intersection of lines DE and AB at point C, we typically need additional information about the angles formed at the intersection or some relationship between the two lines. However, without any specific angles or equations provided, the question seems incomplete. Generally, if DE and AB … Read more
To solve for the value of y when x is 74, we first need to understand the concept of direct variation. When we say that y varies directly with x, it means that there is a constant ratio between y and x. This relationship can be expressed mathematically as: y = kx where k is … Read more
When rolling two six-sided dice, the possible outcomes for each die range from 1 to 6. To achieve a sum of 3, there are specifically two combinations of face values that can result in this outcome. These combinations represent different ways to roll the dice but lead to the same sum, and they are known … Read more
Finding the Greatest Common Factor (GCF) The greatest common factor (GCF) of a set of terms is the largest expression that divides each term without leaving a remainder. To find the GCF of the terms 60x4y7, 45x5y5, and 75x3y, we need to follow these steps: Step 1: Factor the coefficients First, look at the numerical … Read more
To find out how far apart ships A and B are after t hours, we will follow these steps: 1. **Initial Positions**: At noon, let’s set the coordinates based on a Cartesian plane, where: – Ship A starts at extbf{(-100, 0)} (100 km west of Ship B) and moves east. – Ship B starts at … Read more
Calculating the Area of a Rhombus A rhombus is a type of polygon that is a quadrilateral with all four sides of equal length. To find the area of a rhombus, you can use the following formula: Area Formula Area = (d1 × d2) / 2 Here, d1 and d2 represent the lengths of the … Read more
To solve the equation 1x + 3x + 10x + 2 = 0, we first need to combine like terms. 1. **Combine like terms:** The terms with ‘x’ are 1x, 3x, and 10x. Adding these together, we have: 1x + 3x + 10x = 14x 2. **Rewrite the equation:** Now, we can rewrite our equation … Read more
The function given is f(x) = x² – 6x + 3. To rewrite this function in vertex form, we need to complete the square. The standard vertex form of a quadratic function is: f(x) = a(x – h)² + k Where (h, k) is the vertex of the parabola. Let’s start with the function: f(x) … Read more