devyy To solve the quadratic equation x² + 2x + 4 = 0 using the quadratic formula, we first identify the coefficients in the standard form of the equation, which is ax² + bx + c = 0. Here: a = 1 (coefficient of x²) b = 2 (coefficient of x) c = 4 (constant term) … Read more
To find the value of x in the provided set of numbers (6, 8, 10, 12), we need to clarify what kind of operation or relationship is being established with these numbers. Without additional context, such as whether they are part of an equation or a specific sequence, we can analyze them in a few … Read more
To find ordered pairs using the equation y = 2x, you will need to choose different values for x and then calculate the corresponding y values. An ordered pair is typically written in the format (x, y). Here’s a step-by-step method: Choose a value for x: You can select any real number. For example, let’s … Read more
To solve the equation x² – 15x – 100 = 0 using the zero product property, we need to factor the quadratic expression. The zero product property states that if the product of two factors is zero, then at least one of the factors must be equal to zero. First, we will rearrange the equation: … Read more
A full turn, or a complete circle, consists of 360 degrees. Therefore, if we want to determine how many degrees are in half of a full turn, we simply divide 360 by 2. So, half of a full turn is: 360 degrees ÷ 2 = 180 degrees This means that when you turn halfway around … Read more
To find out what 15 out of 500 represents, we need to calculate the fraction of 15 in relation to 500. This can be done by dividing 15 by 500. Here’s the calculation: 15 ÷ 500 = 0.03 This result can also be expressed as a percentage. To convert this decimal into a percentage, simply … Read more
To determine the inside diameter of the pipe, we first need to understand the relationship between the outside diameter, wall thickness, and inside diameter. The formula to find the inside diameter ( ID ) from the outside diameter ( OD ) and wall thickness ( T ) is: ID = OD – 2 * T … Read more
To find the terminal point (px, y) on the unit circle determined by a given value of t, we first need to understand the relationship between the angle t and the coordinates on the unit circle. The unit circle is centered at the origin (0, 0) with a radius of 1. The angle t is … Read more
To find the result of dividing 10 by 15, we perform a simple division operation. The equation can be represented as: 10 ÷ 15 When we calculate this, we get: 0.6667 (rounded to four decimal places) This means that 10 is approximately two-thirds of 15. A more formal way to express this is: 10/15 = … Read more
The reciprocal of a fraction is obtained by switching the numerator and the denominator. To find the reciprocal of 2/3, we simply swap the two numbers. Hence, the reciprocal of 2/3 is 3/2. In more detail, if a fraction is represented as a/b, its reciprocal would be b/a. So, by applying this rule, for the … Read more