Actually Welcome to the concept of areas,
we know that, area of rectangle = length * width,
here, length = x-2 and width = x-1
hence, area = (x-2) (x-1)
==> area = x^2 -x -2x +2
==> Area = x^2 - 3x + 2
hence the Option D.) is correct
Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
This is actually a science question, this is because the air particles with the warmer temperature always go up and air particles with the cooler temperature always goes down, and this process is called convection.
I hope this could help you ;)
LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.
Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:
6: 6, 12, 18, 24, 30, 36
15: 15, 30, 45, 60, 75, 90
The LCM of 6 and 15 is 30.
Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
