devyy To find a factor of the expression 6×2 x 7, we first need to break down the components of the expression. The expression consists of three parts: the coefficient 6, the variable term x2, and the coefficient 7. We can first simplify the expression: 6 x 7 = 42, so we can rewrite the expression … Read more
A parabola is a symmetrical, U-shaped curve that plays a crucial role in various fields of mathematics and science. In the realm of mathematics, it is defined as the graph of a quadratic function, which can be expressed in the standard form as: y = ax² + bx + c Here, a, b, and c … Read more
To find the largest and smallest 4-digit numbers that can be formed using the digits 4, 0, 3, and 7, we need to arrange these digits in specific ways. Finding the Largest 4-Digit Number To create the largest possible 4-digit number, we should start with the highest digits and arrange them in descending order. The … Read more
To find the general solution of the second-order differential equation given by: y” + 12y = 0 we begin by identifying the form of the equation. This is a linear homogeneous differential equation with constant coefficients. The standard approach is to assume a solution of the form: y(t) = e^{rt} where r is a constant … Read more
To find the inverse of the function f(x) = 2x + 10, we need to follow a few methodical steps. Replace f(x) with y: Start by rewriting the function as: y = 2x + 10 Swap x and y: This step is essential for finding the inverse. We replace y with x and x with … Read more
To determine which of the given expressions correctly represents prime factorization, we need to examine each one more closely. Prime factorization is the process of expressing a number as the product of its prime numbers. 24 = 2 x 3 x 4: This expression is not in prime factorization form. The number 4 can be … Read more
The sum of the measures of the interior angles of any polygon can be calculated using the formula: Sum = (n – 2) × 180° where n is the number of sides in the polygon. For an octagon, which has 8 sides, we can plug in the value: n = 8 Now, applying this value … Read more
To find the equation of a circle, we can use the standard form of a circle’s equation, which is given by: (x – h)² + (y – k)² = r² In this equation: (h, k) represents the center of the circle. r represents the radius of the circle. In your case, the center of the … Read more
To find the length of the arc subtended by an angle in radians, we can use the formula: Arc Length (L) = r × θ where: L is the length of the arc, r is the radius of the circle, θ is the angle in radians. In this case, the radius (r) is 25 cm … Read more
When we talk about two events being mutually exclusive, we mean that they cannot occur at the same time. In other words, if one event happens, the other cannot happen simultaneously. This is a fundamental concept in probability theory. To put it simply, if you have two events, say Event A and Event B, and … Read more