math 216

Maths problem 1:Find the midpoint between given two points A (21, 49) , B (6, 23)In co-ordinate geometry, the midpoint formula between the two points (x1, y1) and (x2, y2) is (`(x_1 + x_2) / 2,``(y_1 + y_2) / 2` ). Given points are A (21, 49) , B (6, 23)(x1, y1) is A (21, 49) (x2, y2) is B (6, 23) Midpoint between the two points = (`(x_1 + x_2) / 2` , `(y_1 + y_2) / 2` ) = (`(21+6) /2` , `(49+ 23) / 2` ) = (`27/ 2` , `72/2` ) = (13.5, 36) Midpoint between the two points A (21, 49) , B (6, 23) = (13.5, 36) Maths problem 2:Solve the given problem 20(s –11) – 10s - 18 = 20(s + 32)The Solutions follows below:Given expression is,20(s –11) – 10s `- ` 18 = 20(s + 32)Multiplying the integer terms20s – 220– 10s – 18 = 20s + 640.Grouping the above terms10s –-238= 20s + 640Add 238on both sides10s –-238+ 238 = 20s + 640 + 238Grouping the above terms10s = 20s + 878Subtract 20s by on both sides10s `-` 20s = 20s `-` 20s +878Grouping the above terms–10s = 878S = `- 878/10`The required answers is S = `- 878/10`