PCC | Mahmud | Statistics | VII

Imagine you are at your home. You came out and went 10m eastward and 5m southward. Where is you current location?

- This point is called (10,5)

Where would these points be?

Mention that “lengths of the side of the smallest square as unit along both axes.”

- (10,2)
- (-10,2)
- (10,-5)
- (-10,-5)

- A (5,3)
- B (5,-3)
- C (-5,3)
- D (-5,-3)

- (3,2); (6,2); (6,4); (3,4)
- (0,4); (2,2); (4,0)
- (2,0); (3,4); (4,0)

Draw these points. What are the shapes?

y = 3x + 5

If x = 2, 3, 4, 5

\(y=3 \times 2 + 5 = 11\)…

First solve manually

- Solve and show solutions using graphs

- x-4=0
- 2x+1 = x-3

- Classwork: 3x+4 = 5x

5x+4 = 4x + 7; without solving mathematically

Length of three sides of a triangle are (x+2), (x+4), and (x+6) cm (x>0). Perimeter of the triangle is 18 cm.

- Draw a proportional figure using the conditions.
- Formulate and solve.
- Draw the graph of the solution.

Distance between Dhaka and Aricha is 77 km. A bus starts from Dhaka to Aricha at 30 kmh, and another from Aricha to Dhaka at 40 kmh. The two meet at x km from Dhaka.

- How far from Aricha will they meet? Express in terms of x.
- Determine x
- How much time will each bus take to reach their destinations?

Solve

\(5x^2+6x+18=4x^2+9\)

- \(x^2+5x+6=0\)