devyy To find five rational numbers between 1 and 2, we can select fractions or decimals that fall within that range. Here are five examples: 1.2 1.4 1.6 1.75 1.9 Each of these numbers is rational because they can be expressed as a fraction of two integers. For example: 1.2 = 12/10 1.4 = 14/10 1.6 … Read more
When we say that two variables are directly related, we mean that there is a positive correlation between the two. This means that as one variable increases, the other variable also increases, and conversely, as one variable decreases, the other variable also decreases. This relationship can often be quantified using a linear equation, which expresses … Read more
To solve the quadratic equation 2x² + 4x + 7 = 0 using the quadratic formula, we first need to identify the coefficients of the equation. The standard form of a quadratic equation is: ax² + bx + c = 0 For our equation: a = 2 b = 4 c = 7 Next, we … Read more
A leap year consists of 366 days, which is one day more than a standard year that has 365 days. The extra day is added to the month of February, making it 29 days long instead of the usual 28. The concept of a leap year was introduced to help synchronize the calendar year with … Read more
The dot product of two vectors is a crucial concept in linear algebra and can provide insights into the relationship between those vectors, including their relative direction. The mathematical definition of the dot product of two vectors, A and B, is given by: A · B = |A| |B| cos(θ) Here, |A| and |B| are … Read more
An isosceles triangle is a unique and visually striking geometric shape that features two sides of equal length, known as the legs, and one side that is different in length, referred to as the base. The angles opposite the equal sides are also equal, giving the isosceles triangle its characteristic symmetry. When you visualize an … Read more
The multiplicative inverse, also known as the reciprocal, of a number is a value that, when multiplied by the original number, results in 1. In simpler terms, it answers the question: “What do I need to multiply by 14 to get 1?” For the number 14, the multiplicative inverse is found by taking the fraction … Read more
To find the factors of the quadratic expression x² + 9x + 14, we can use the method of factoring by grouping or applying the quadratic formula. However, in this case, factoring by grouping is quite straightforward. First, we’ll look for two numbers that add up to the coefficient of x (which is 9) and … Read more
To find the solution to the equation 28x + 4 + 2x + 5 + x + x + x + 6 + x + 6, we first need to combine like terms. The terms that include x can be summed up, as well as the constant numbers. Let’s break this down: x terms: 28x … Read more