To find the sine, cosine, and tangent of 3π/4 radians, we can start by analyzing this angle in relation to the unit circle. Location on the Unit Circle: The angle 3π/4 radians is found in the second quadrant, where the sine value is positive and the cosine value is negative. This angle corresponds to 135 … Read more
To solve the equation 4x + 161 = 2 + 36, we first simplify the right side of the equation: Step 1: Combine like terms on the right side: 2 + 36 = 38 So our equation now looks like this: 4x + 161 = 38 Step 2: Next, we want to isolate the term … Read more
To solve the quadratic equation x² – 8x – 12 = 0, we can use the quadratic formula, which is: x = (-b ± √(b² – 4ac)) / 2a In this formula, a, b, and c are the coefficients from the equation ax² + bx + c = 0. For our equation: a = 1 … Read more
To solve the equation 9x + 1 + 17 + 8 + 2 + 2 + 8, we start by simplifying the expression: First, add the constant terms together: 1 + 17 + 8 + 2 + 2 + 8. This simplifies as follows: 1 + 17 = 18 18 + 8 = 26 26 … Read more
In the rectangular coordinate system, the vertical number line is referred to as the y-axis. This axis represents the vertical component of any point in a two-dimensional space, where every point has an x-coordinate and a y-coordinate. The y-axis runs vertically and typically intersects with the horizontal number line, known as the x-axis, at the … Read more
To determine if a number is a multiple of 6, we need to check if it satisfies two conditions: The number must be even (which means it is divisible by 2). The sum of its digits must be divisible by 3. Let’s go through an example. Consider the following numbers: 12, 18, 20, and 30. … Read more
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