The area of 
equals to the sum of areas of the triangles it consists of. So,
PEMDAS is the correct order of operations... parentheses, exponents, multiplication, division, addition, and subtraction.
Let's do Holly first
6 x (24/2)^2= first the parentheses
6 x (12)^2 = now exponents
6 x 144 = and multiplication
864
Now Jim
6 x 24 / 2^2 = exponents first
6 x 24 / 4 = next multiplication
144 / 4 = now division
36
So, Jim's expression is 828 less than the other expression
(864 - 36 = 828)
Answer:46
Step-by-step explanation:
x = ±2.12 - 2. Solving the quadratic equation 2x²+8x-1=0 by using completing the square, we obtain the roots x = 0.12 and x = -4.12.
We can solve the quadratic equation 2x²+8x-1=0 by completing the square follow the next steps:
Divide the coefficients of the equation by a (the coefficient x²)
(2x²+8x-1)/2=0 -----> x²+4x-1/2=0
Move the independent term c/a to the right side of the equation
x²+4x = 1/2
Complete the square on the left side of the equation and balance this by adding the same number to the right side of the equation using (b/2)².
(b/2)²=(4/2)²=2²=4
x²+4x+4 = 1/2+4 -------> (x+2)² = 9/2
Applying square root on both sides of the equation
x+2 = √9/2
Finally, clear the x
x = √9/2 - 2 ----------> x = ±2.12132 - 2
Correct to 2 decimal places
x = ± 2.12 - 2
