devyy To find the fraction, let’s denote the fraction as x/y, where x is the numerator and y is the denominator. According to the problem: When 1 is subtracted from the numerator, the fraction equals 13: x – 1 / y = 13 This can be rewritten as: x – 1 = 13y x = 13y … Read more
To determine the type of polygon that has a sum of its interior angles equal to 1080 degrees, we can use the polygon interior angle sum formula. This formula states that the sum of the interior angles of a polygon with n sides is given by: Sum = (n – 2) * 180 Where n … Read more
To solve and make sense of the expression from provided numbers, we need to clarify the operation intended between the numbers. Since there are no operators specified, one common approach is to look for patterns or logical connections among the numbers. Assuming this is an arithmetic or algebraic expression, we might want to approach it … Read more
To determine the slope of a line that is perpendicular to another line, we first need to understand the slope of the line described by the equation y = 2x + 5. The equation is in the slope-intercept form, which is y = mx + b, where m represents the slope and b is the … Read more
To divide 33 photos into two groups with a ratio of 4:7, first, sum the parts of the ratio. In this case, 4 (for the first group) + 7 (for the second group) equals 11 parts in total. Next, calculate the value of one part by dividing the total number of photos (33) by the … Read more
To determine the completely factored form of the expression 8×2 + 50, we will first look for the greatest common factor (GCF) of the terms in the expression. The coefficients are 8 and 50, and their GCF is 2. Now, let’s factor out the GCF: 8×2 + 50 = 2(4×2 + 25) Next, we see … Read more
Finding the radius of a circle on a graph is a straightforward process, especially if you have the equation of the circle or you can identify key points on the graph. Here’s a step-by-step guide: Method 1: Using the Circle’s Equation If you know the equation of the circle, which is generally written in the … Read more
To prove that the mnth term of an arithmetic progression (AP) is zero under the given conditions, we start by recalling the formula for the nth term of an AP. Let the first term of the AP be denoted as a, and the common difference be denoted as d. The nth term of the AP … Read more
When you take a cross-section of a square pyramid parallel to its base, the resulting shape is a smaller square. This is due to the uniform tapering of the sides of the pyramid towards the apex, which maintains the square shape at various heights. The size of the square decreases as you move up from … Read more
Understanding the Table of Binomial Multiplication When we multiply two binomials, we often use the distributive property, which is also known as the FOIL method (First, Outer, Inner, Last). The resulting table helps in visualizing how each term interacts with others. For example, consider two binomials: (x + 3) (x + a) If we were … Read more