devyy To find the sum of the polynomials 7x³ + 4x² and 2x³ + 4x², we start by combining like terms. First, we can rewrite the polynomials as: First polynomial: 7x³ + 4x² Second polynomial: 2x³ + 4x² Now, let’s add them together: (7x³ + 4x²) + (2x³ + 4x²) Next, we group the similar terms: … Read more
To find the slope of the equation 9x + 3y = 15, we will first rewrite the equation in the slope-intercept form, which is y = mx + b. In this form, m refers to the slope of the line. Here are the steps to isolate y: Start with the original equation: 9x + 3y … Read more
To find the product of the expressions 3a5 and 2a2 + 4a2, we can follow these steps: First, distribute 3a5 to each term in the second expression. The first term will be 3a5 * 2a2. The second term will be 3a5 * 4a2. Now let’s calculate each term: 3a5 * 2a2 = 6a7 (because we … Read more
To understand the probability of rolling a 1 on a standard six-sided die, we first need to consider the basic principles of probability. In probability, the likelihood of a certain event occurring is calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes. When you roll a … Read more
To find the height of a trapezoid without knowing its area, there are several approaches you can take, depending on the information available about the trapezoid. Here are some methods: 1. Using the Bases and Diagonals If you know the lengths of the two bases (the parallel sides) and the lengths of the diagonals, you … Read more
To find the radius of Circle O given that its circumference is 36π cm, we can use the formula for the circumference of a circle: C = 2πr In this formula, C represents the circumference and r is the radius of the circle. We can begin by substituting the known value of the circumference into … Read more
To determine if a variable x is greater than 5 and less than 10, you can use a logical expression that combines two conditions. The correct expression is: 5 < x < 10 This expression reads as “5 is less than x and x is less than 10,” which confirms that x falls within the … Read more
An acute angle is defined as an angle that measures less than 90 degrees. Visually, it has a sharp, pointy appearance, making it easily distinguishable from other types of angles. Here are some characteristics of acute angles: Measurement: Acute angles are any angles that fall between 0 degrees and 90 degrees. For instance, if an … Read more
The surface area of a rectangular solid, also known as a rectangular prism, can be calculated using the formula: Surface Area (SA) = 2(lw + lh + wh) Where: l: length w: width h: height In this case, the dimensions of the rectangular solid are: Length (l) = 4 cm Width (w) = 6 cm … Read more
Classifying angles involves recognizing their measurements and characteristics. Here’s a breakdown of the different types of angles: Right Angle: A right angle measures exactly 90 degrees. It appears as a perfect corner, like the corners of a square or rectangle. Straight Angle: A straight angle measures exactly 180 degrees. It looks like a straight line, … Read more