devyy To find the value of x in the triangle with angles of 2x, 3x, and 4x degrees, we need to use the property that the sum of the angles in any triangle equals 180 degrees. Let’s set up the equation: The first angle: 2x The second angle: 3x The third angle: 4x Now, we sum … Read more
To find the product of the terms 2p, 73p², 4p, and 3, we follow the principles of algebraic multiplication, combining both the numerical coefficients and the variable parts. First, let’s multiply the numerical coefficients: 2 (from 2p) 73 (from 73p²) 4 (from 4p) 3 (a constant) The multiplication of the numbers is: 2 × 73 … Read more
The number 4 in the sequence 10, 4, 6 can be classified based on the mathematical operation or context of the problem. If we are discussing these numbers in the context of a subtraction problem where 10 is the minuend and 4 is subtracted, then 4 would be referred to as the ‘subtrahend.’ In a … Read more
To solve the equation 62x + 42 = 2x + 4 + 2, we will follow these steps: Simplify the equation: First, we will simplify the right side of the equation. Combine like terms: On the right side, we add 4 and 2 to get 6. The equation now looks like this: 62x + 42 … Read more
In the standard form of an absolute value function given by f(x) = a|x – h| + k, the vertex of the function is represented by the coordinates (h, k). To break this down further: a: This coefficient affects the vertical stretch or compression of the absolute value graph. It also determines the direction of … Read more
The metric system is one of the most widely used measurement systems in the world, and it operates on a base-10 structure, which makes it quite intuitive. In the metric system, a kilogram is a fundamental unit of mass. To directly answer your question, there are 1,000 grams in a kilogram. This is a straightforward … Read more
To simplify the fraction of 724 divided by 3548, we start by expressing it as: Fraction: 724 / 3548 Next, we will find the greatest common divisor (GCD) of 724 and 3548 to reduce the fraction to its simplest form. The GCD is the largest number that divides both the numerator and denominator without leaving … Read more
To factor the quadratic expression x² + 14x + 48, we want to find two numbers that multiply to the constant term (48) and add up to the coefficient of the linear term (14). Let’s analyze the factors of 48: 1 and 48 2 and 24 3 and 16 4 and 12 6 and 8 … Read more
Graphing the Exponential Function y = 3^x Graphing the exponential function y = 3^x involves a few simple steps that will help you visualize the function’s behavior across different values of x. Here’s a detailed explanation and guide: 1. Understand the Basics of the Function The function y = 3^x is an exponential function where: … Read more