Answer:
Step-by-step explanation:
a = 12 cm ; b = 8 cm and h = 6 cm
a) Area of Trapezium = [tex]\dfrac{(a+b)*h}{2}[/tex] , where a and b are length of non parallel sides.
[tex]=\dfrac{(12+8)*6}{2}\\\\=\dfrac{20*6}{2}\\\\= 10 * 6\\\\= 60 \ cm^{2}[/tex]
b) x 0 1 2 3 4
y 7 4 1 -2 -5
3x + y = 7
y = -3x + 7
When x = 0 ; y = 0 + 7 = 7
When x = 1 ; y = -3*1 + 7 = -3 +7 = 4
When x = 2 ; y = (-3) *2 + 7 = -6+7 = 1
When x = 3 ; y = (-3)*3 +7 = -9 + 7 = -2
When x = 4 ; y = (-3) *4 + 7 = -12 + 7 = -5
c) Let the consecutive even number = (2x + 2) & (2x + 4)
9 *greater number - 7 *smaller number = 46
9*( 2x+ 4 ) - 7(2x + 2)= 46
9*2x + 9*4 - 7 *2x - 7*2 = 46
18x + 36 - 14x - 14 = 46
18x - 14x + 36 - 14 = 46
4x + 22 = 46
4x = 46 - 22
4x = 24
x = 24/4
x = 6
2x + 2 = 2*6 + 2 = 12 + 2 = 14
2x +4 = 2*6 + 4 = 12 + 4 = 16
The consecutive even numbers are 14 & 16
