## Slope of a line and how to find it

In coordinate geometry, the slope of a line is a measure of its steepness and direction. It is represented by the letter “m” in the equation of a line, y…

## x intercept and y intercept

In coordinate geometry, the x-intercept and y-intercept of a line are the points at which the line crosses the x-axis and y-axis, respectively. These points are important because they give…

## Permutation and Combination

Permutation and combination are two important concepts in combinatorics, the branch of mathematics that deals with counting and arranging objects. They are often used in probability and statistics, as well…

## Unlocking the Power of Complex Numbers

Complex Numbers: Unlocking the Power of Imaginary Numbers Complex numbers, also known as imaginary numbers, are a type of number that are used to represent quantities that cannot be represented…

## Problem 1193

If FGHI is a  rectangle and angles G is equal to 2x + 5, find x.   Solution:-   2x  + 5 = 90 2x  = 85 X = 42.5…

## Problem 1097

What is the formula for the circumference C of a circle of radius r? What is the formula for area A of a circle of radius r?   Solution:-…

## Problem 1009

Let p, q, and r represent the following simple statements: p: I lie on the sofa. q: I take a nap. r: I go jogging. Write the following compound statement…

## Problem 964

Given the annual interest rate and the compounding period, find I, the interest rate per compounding period. 3.4% compounded quarterly.   Solution:-   The interest rate per compounding period is…

## Problem 743

In a family with 8 children, excluding multiple births, what is the probability of having 8 girls? Assume that a girl is as likely as a boy at each birth.…

## Problem 735

Write the arithmetic sequence that has three arithmetic means between -16 and 16.   Solution:-   an  and a1 are given. Find the common difference by using the explicit formula for arithmetic…