Answer:
2x(5x + 14) + 15
Step-by-step explanation:
Given: (2 + 3)(4x + 5) - 8x(
- 2)
(2 + 3)(4x + 5) - 8x(
- 2) = 2
(4x + 5) + 3(4x + 5) - 8x(
- 2)
= (8 + 10
+ 12x + 15) - 8
+ 16x
= 8 + 10
+ 12x + 15 - 8
+ 16x
collecting like terms to have,
8- 8
+ 10
+ 12x + 16x + 15
10 + 28x + 15
Thus,
(2 + 3)(4x + 5) - 8x(
- 2) = 10
+ 28x + 15
= 2x(5x + 14) + 15
Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
= 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units