devyy

A tangent to a circle is a straight line that touches the circle at just one point. To find the equation of the tangent to a circle from an external point, we need to follow several steps. Below is a detailed explanation: 1. Understanding the Circle’s Equation The general equation of a circle with center … Read more

In mathematics, a prime polynomial is one that cannot be factored into the product of two non-constant polynomials. To determine which of the given polynomials are prime, we need to examine each one individually: x³: This polynomial is a cubic polynomial and cannot be factored into polynomials of lower degree that are non-constant (e.g., it … Read more

When we talk about ‘3 to the second power’, we are referring to an exponentiation operation in mathematics. This operation involves raising a number, in this case, 3, to a certain power indicated by the exponent, which is 2. Essentially, ‘3 to the second power’ means you multiply the base number, 3, by itself the … Read more

The sequence presented is 9, 3, 1, 13. To determine the next number in the sequence, we should first analyze the relationship between the numbers. 1. **From 9 to 3:** The first number is 9, which is followed by 3. This indicates a significant drop, specifically a subtraction of 6 (9 – 6 = 3). … Read more

Understanding the Arrangements of 3 Digits from 0 to 9 To determine how many unique three-digit arrangements can be formed using the digits 0 to 9, we need to understand the concepts of permutations and the restrictions that come with digits, particularly with leading zeros. Step 1: Total Choices for Each Digit Position We have … Read more

The smallest unit of measurement in the metric system is the yoctometer, which is symbolized as ‘ym’. A yoctometer is equal to 10-24 meters, making it an incredibly tiny length measurement. To give you a perspective on just how small a yoctometer is, consider that it is one septillionth of a meter. This unit is … Read more

10 to the 9th power, mathematically expressed as 109, is a calculation that represents 10 multiplied by itself 9 times. This is part of a larger category of mathematics known as exponentiation, which deals with the operation of raising a number to a power. When you calculate 109, you start with 10: 10 x 10 … Read more

To find the inverse function of f(x) = 2x + 3, we need to follow a few systematic steps. Start by replacing f(x) with y: We rewrite the function as y = 2x + 3. Swap x and y: This gives us x = 2y + 3. Solve for y: We need to isolate y … Read more

To find the solutions of the equation x² + 5x + 8 = 0, we can utilize the quadratic formula. The quadratic formula is given by: x = (-b ± √(b² – 4ac)) / 2a For our equation, the coefficients are: a = 1 b = 5 c = 8 Now we can plug these … Read more

To express the number 13 million in scientific notation, we first need to understand the format of scientific notation. Scientific notation is a way of writing numbers that are too large or too small in a more manageable form. It is typically expressed as: N x 10k, where N is a number greater than or … Read more