Complete the following questions for the start of our lesson tomorrow.
Pages 358–360 questions 27, 31, 38, 40
Pages 367–369 questions 2, 11 c, 14 b, 16 + one of 20, 21, 22, or 23
Dr. McDonald's Mathematics Course Blog
Dr. McDonald's Mathematics Course Blog
Complete the following questions for the start of our lesson tomorrow.
Pages 358–360 questions 27, 31, 38, 40
Pages 367–369 questions 2, 11 c, 14 b, 16 + one of 20, 21, 22, or 23
sir i do not understand question 38 on page 360.
This question anticipates some material that we’ll see again when we get to vectors.
If you need to measure the distance from a point \(P\) to a line, you could in principle choose to measure the distance from \(P\) to any point on the line. However, one sensible choice would be to measure the distance from \(P\) to the point on the line that is closest to \(P\), in other words, the distance from \(P\) to the point on the line, call it \(A\), that makes (as shown in the diagram) a right angle with the original line. The distance from \(P\) to the line, then, is the length of the line segment between \(P\) and \(A\). Given the equation of a line, and the coordinates of a point, can you find an expression that would give that distance?