The equation given is 3x + 4y = 8. To find the solutions, we need to express it in terms of y or x. Rearranging the equation for y: 4y = 8 – 3x y = (8 – 3x) / 4 Now, we can substitute different values of x into this equation to see what … Read more
To determine if a graph is symmetric with respect to the origin, you can follow these steps: Understand the concept: A graph is symmetric with respect to the origin if, for every point (x, y) on the graph, the point (-x, -y) is also on the graph. This means that the graph will look the … Read more
To find out what 15 of 70 means, we need to interpret it as a fraction or percentage. In this case, we can look at it in two main ways: 1. As a Fraction: The phrase ’15 of 70′ can be expressed mathematically as: 15/70 When you divide 15 by 70, you’re essentially asking how … Read more
The sequence given is: 9, 3, 1, 1, 3. To solve for the next number in the sequence, let’s first analyze the pattern: The first number is 9
The number of significant figures in a number is crucial for precision in measurements. In the case of the measurement 1050l (assuming the ‘l’ is a typographical error for a number), we analyze each part of the number to determine the significant figures. For the number 1050, it appears initially that we have four digits. … Read more
To prove that the diagonals of a parallelogram with equal adjacent sides and one diagonal equal to a side are in the ratio of √3:1, we can follow these steps: Understanding the parallelogram properties Let’s denote the parallelogram as ABCD where AB = BC (adjacent sides are equal). Since we have mentioned that one diagonal … Read more
To determine how many spaces are filled in a parking lot that holds 1,600 cars and is filled to three-fourths of its capacity, we can follow a simple calculation. First, we need to find three-fourths of 1,600. This can be calculated by multiplying 1,600 by the fraction 3/4. Here’s the calculation: 1,600 x (3/4) = … Read more
Finding the center of mass (or centroid) of a right triangle is a straightforward process. The centroid is the point where the three medians of the triangle intersect, and it serves as the balance point of the shape. Here’s how you can calculate it: Steps to Find the Centroid of a Right Triangle Identify the … Read more
To determine the center and radius of a circle given the endpoints of its diameter, we can follow these steps: 1. **Identify the coordinates of endpoints:** Here, we’re given two points, P(10, 2) and Q(46, y). However, from the problem, we need to also establish the y-coordinate for Q to proceed. For this explanation, let’s … Read more
To determine the length of side QR in triangle PQR, we first need to establish some basic rules about triangles. Given that in any triangle, the sum of the lengths of any two sides must always be greater than the length of the third side, we can utilize this principle to analyze the options available. … Read more