devyy To determine the product of prime polynomials equivalent to the expression 3×4 + 81x, we start by factoring the expression. First, notice that both terms share a common factor. The expression can be factored out as follows: 3×4 + 81x = 3x(x3 + 27) Next, we can further factor the polynomial x3 + 27. This … Read more
To solve the equation for k in the expression 4a + 9ab, we first need to clarify if the equation is presented in the format of an equation (like k = …) or just an expression that needs to be manipulated. However, since you mentioned solving for k, we will consider 4a + 9ab = … Read more
The five smallest prime numbers are 2, 3, 5, 7, and 11. A composite number is defined as a positive integer that has at least one positive divisor other than one or itself, meaning it can be divided by other numbers. To find the smallest composite number that has these five prime numbers as factors, … Read more
To find the solution for the equation nn = 1 + 4n + 8, we begin by simplifying the right-hand side: Combine the constants: 1 + 4n + 8 = 4n + 9 This allows us to rewrite the equation as: nn = 4n + 9 Next, we will analyze the function nn and the … Read more
In the realm of geometry, the type of triangle that always possesses exactly one line of reflectional symmetry is the isosceles triangle. To understand this, let’s delve into the characteristics of an isosceles triangle. An isosceles triangle is defined as a triangle with at least two sides of equal length. When you draw the line … Read more
Tossing two coins involves looking at all the possible outcomes that can result from the toss. The sample space for this event consists of all combinations of heads (H) and tails (T) that can occur when the two coins are tossed. When you toss two coins, the possible outcomes are: HH (both coins show heads) … Read more
An arithmetic sequence is defined by a specific formula that allows us to find any term in the sequence, given a value of n, which typically represents the position of the term in the sequence. In this case, the formula given is: a_n = 3 + 2n – 1 This can be simplified to: a_n … Read more
To determine whether the expression 2√3 + 2√6 is rational or not, we first need to understand what rational numbers are. A rational number can be expressed as the quotient of two integers, where the denominator is not zero. Let’s break down the expression: 2√3: This part represents 2 times the square root of 3. … Read more
Finding the Value of x in a Triangular Prism The volume of a triangular prism can be calculated using the formula: Volume = Base Area × Height In this case, we are given that the volume of the triangular prism is 54 cubic units. To find the value of x, we need additional information regarding … Read more
Finding Solutions to the Equation To solve the equation sec²(x) = 2tan²(x) within the interval [0, 2π], we start by rewriting the terms using the definitions of secant and tangent: sec(x) = 1/cos(x) tan(x) = sin(x)/cos(x) This allows us to express the equation in terms of sine and cosine: sec²(x) = 1/cos²(x) and tan²(x) = … Read more