The first step is to write this equation into general form. The
general form of an equation is:
ax^2 + bx + c = 0
To make this equation to general form, you have to simplify
the equation first.
2/3(x-4) (x+5) = 1
2/3 (x^2 + 5x – 4x – 20) = 1
2/3(x^2 + x -20) = 1
2/3x^2 + 2/3x – 40/3 = 1
2/3x^2 + 2/3x – 40/3 – 1 = 0
2/3x^2 +2/3x – 43/3 = 0
Therefore, a = 2/3 ; b = 2/3 ; c = -43/3
Answer:
Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
__
(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2
Answer: 21.3
Step-by-step explanation:
63.9 divided by 3 equal pieces is 21.3!