As shown in the figure, the upper bottom of a trapezoid is 5cm, and the lower bottom is 8cm. The height of a triangle is 4cm. Divide the triangle into two parts with equal area, a and B, and calculate the area of the shadow part

As shown in the figure, the upper bottom of a trapezoid is 5cm, and the lower bottom is 8cm. The height of a triangle is 4cm. Divide the triangle into two parts with equal area, a and B, and calculate the area of the shadow part

[5 - (8-5) + 5] × 4 / 2, = [5-3 + 5] × 4 / 2, = [2 + 5] × 4 / 2, = 7 × 4 / 2, = 28 / 2, = 14 (square centimeter); a: the area of shadow is 14 square centimeter

The area of a triangle is equal to that of a square with a side length of 8 cm. It is known that the bottom of the triangle is 16 cm. What is the height of the triangle?
(solution of a series of equations)

Let the height of triangle be X
Equivalent relation: 16x △ 2 = 8 × 8
The solution is x = 8
Answer: Yes

Given that in a function y = KX + B, the value range of independent variable x is - 1 ≤ x ≤ 4, and the value range of corresponding function is - 3 ≤ y ≤ 2, find the expression of this function

The maximum value of a function is at the end point
therefore
-3=-k+b
2=4k+b
Or 2 = - K + B
-3=4k+b
So k = 1, B = - 2 or K = - 1, B = 1
So y = X-2 or y = - x + 1