devyy To find the number of which 24 is 60%, we can set up a simple equation. Let's denote the unknown number as X. The relationship can be described mathematically as: 60% of X = 24 We can express 60% as a fraction. So, rewrite the equation: 0.60 * X = 24 To solve for X, … Read more
To find the slope of the line from the equation 3x + 2y = 8, we first need to rearrange it into the slope-intercept form, which is given by: y = mx + b where m represents the slope and b represents the y-intercept. Starting with the original equation: 3x + 2y = 8 We … Read more
To solve the equation 3/(3x) + 1/(x + 4) = 10/(7x), we need to find the value of x. Let’s break down the steps: Find a common denominator: The left side has two fractions, one with a denominator of 3x and the other with x + 4. The least common denominator (LCD) of the left-hand … Read more
A polynomial is considered prime (or irreducible) if it cannot be factored into the product of two non-constant polynomials with coefficients in the same field. Here are some key types of polynomials that qualify as prime: Linear Polynomials: Any polynomial of the form ax + b where a != 0 is prime, as it cannot … Read more
Yes, a triangle with side lengths of 3, 4, and 5 can indeed be classified as a right triangle. To determine this, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of … Read more
To find the exact value of cos 132 degrees, we can follow a few steps using the unit circle and trigonometric identities. First, we can recognize that the angle 132 degrees is located in the second quadrant of the unit circle, where the cosine function takes negative values. We can express 132 degrees in relation … Read more
To simplify the expression √10 * √8, you can use the property of square roots that states √a * √b = √(a * b). 1. **Combine the square roots**: Start by combining the two square roots: √10 * √8 = √(10 * 8) 2. **Perform the multiplication inside the square root**: Calculate the product of … Read more
To determine which expression is equivalent to 4 + 6i², we need to simplify the part involving i². In mathematics, especially in the realm of complex numbers, i is defined as the imaginary unit, where i represents the square root of -1. Therefore, we have: i² = -1. Now, substituting -1 for i² in the … Read more
When it comes to measuring ingredients in cooking and baking, it’s essential to know the right conversions to achieve the desired results. One tablespoon is equivalent to three teaspoons. This simple conversion can help you adjust your recipes accurately, ensuring that your dish turns out just right. To visualize this, you can think of it … Read more
To find the product of the complex numbers 3i and 4, we simply multiply them together following the rules of complex number multiplication. First, let’s write it out: 3i * 4. Here, 3i is a complex number where the real part is 0 and the imaginary part is 3. The number 4 is a real … Read more