devyy To solve the linear equation 4b + 6 = 2b + 4, we will follow these steps: Step 1: Rearranging the equation First, we want to get all terms involving b on one side of the equation and constant terms on the other side. We can start by subtracting 2b from both sides: 4b – … Read more
The graph of the function f(x) = x² + 2x + 3 is a parabola that opens upwards. To better understand its shape and key features, let’s break it down: 1. Standard Form The function is in the standard quadratic form, which is represented as f(x) = ax² + bx + c. In this case: … Read more
To convert an angle measured in radians to degrees, you can use the conversion factor that relates both units. The conversion formula is: Degrees = Radians × (180/π) In this case, we have an angle of 3π/5 radians. Using the formula, we’ll substitute 3π/5 for Radians: Degrees = (3π/5) × (180/π) Next, we can simplify … Read more
To find 40 percent of 25, you can use a simple formula: multiply the number by the percentage (expressed as a decimal). 1. Convert the percentage to a decimal: 40% = 0.40. 2. Multiply the decimal by the number: 0.40 * 25. 3. Perform the calculation: 0.40 x 25 = 10. Therefore, 40 percent of … Read more
To determine how long it will take to load 6 and 1/2 trucks, we first need to find out the loading time per truck based on the initial information. If 3 and 1/2 trucks take 42 minutes, we can express this as: 3.5 trucks = 42 minutes Now, we need to find the time taken … Read more
Calculating the Area of a Parallelogram Given Its Vertices To find the area of a parallelogram with given vertices, we can use the formula based on the coordinates of its vertices. However, in the case of your provided vertices (K(123), L(136), M(386)), we first need to establish all four vertices of the parallelogram. Assuming that … Read more
The reciprocal of a number is simply 1 divided by that number. In mathematical terms, if you have a number x, its reciprocal is written as 1/x. This concept is fundamental in mathematics and can be particularly useful in various applications, including solving equations and working with fractions. For example, let’s consider the number 5. … Read more
To convert the decimal 0.125 into a fraction, follow these steps: Identify the decimal: The decimal we want to convert is 0.125. Count the decimal places: The number 0.125 has three decimal places. Convert to a fraction: Since 0.125 has three decimal places, you can express it as: 0.125 = rac{125}{1000} Simplify the fraction: Next, … Read more
A square is a special type of polygon that belongs to the category of quadrilaterals. By definition, a quadrilateral is a shape that has four sides. Therefore, a square has four sides. What sets a square apart from other quadrilaterals is its unique properties: all four sides of a square are of equal length, and … Read more
A geometric sequence is defined as a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this case, we have two terms: 1250 and 50. To find the common ratio (r) of the sequence, we can use the … Read more