devyy A right angle is defined as an angle that measures exactly 90 degrees. It is formed when two lines intersect to create an angle that visually appears to be ‘square’, typically represented by a small square symbol at the angle’s vertex. Right angles are fundamental in geometry, as they are often used to define perpendicular … Read more
To solve the equation 2x + 3 = 9 + 3x – 1, we will first simplify both sides. 1. Start by combining like terms on the right side: 9 – 1 = 8 So the equation becomes: 2x + 3 = 8 + 3x 2. Next, we will rearrange the equation to get all … Read more
To find the value of x given the equations 12y = 210 and 6y = 90, we can solve for y in both equations and then relate them to x. First, let’s start with the first equation: 1. Solve for y from the first equation: Given: 12y = 210 To isolate y, divide both sides … Read more
Finding the square root of a number and finding the cube root of a number are two different mathematical operations that serve distinct purposes and yield different results. Square Root: The square root of a number x is a value y such that when y is multiplied by itself (i.e., y × y), it equals … Read more
To convert the improper fraction 17/7 into a mixed number, you will follow these steps: Divide the numerator by the denominator: Start by dividing the top number (17) by the bottom number (7). Perform the division: When you divide 17 by 7, the result is 2 because 7 goes into 17 two times. This gives … Read more
To find the value of the expression 36x × 8y² when x = 3 and y = 6, we need to substitute the values of x and y into the expression. First, we substitute x = 3: 36 × 3 × 8y² Next, we will deal with the y part by substituting y = 6: … Read more
To factor the quadratic expression x² + 2x + 8, we first need to analyze the coefficients and the constant term. In this case, the expression is in the standard form of a quadratic, which is: ax² + bx + c Here, a = 1, b = 2, and c = 8. Next, we look … Read more
To solve the expression 3 – 3 * 6 + 2, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 1. **Calculate the multiplication first:** 3 * 6 = 18 2. **Now substitute back … Read more
The next number in the sequence is 19. This sequence consists of prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves. To clarify, the prime numbers included in the sequence so far are: 2 – the only even prime number 3 – the first odd prime number … Read more
The circumference of a circle can be calculated using the formula: C = 2 × π × r, where C represents the circumference, π (pi) is approximately 3.14, and r is the radius of the circle. In this case, the radius r is given as 7 inches. Plugging this value into the formula: C = … Read more