Answer:
-2 + 2i
Step-by-step explanation:
i =
distribute the first 2 expressions
(1 + 2 - 1 )
distribute
1 + 2 - 1 +
combine like terms
-2 + 2
which is -2 + 2i
Answer:
x = 2 ±sqrt( 97)
Step-by-step explanation:
log10(x^2 -4x+7) =2
Raise each side to the base 10
10 ^ log10(x^2 -4x+7) =10^2
x^2 -4x +7 = 100
Subtract 7 from each side
x^2 -4x+7-7 = 100-7
x^2 -4x = 93
Complete the square
-4/2 = -2 (-2)^2 = 4
Add 4 to each side
x^2 -4x+4 = 93+4
(x-2)^2 = 97
Take the square root of each side
sqrt((x-2)^2 )=±sqrt( 97)
x-2 = ±sqrt( 97)
Add 2 to each side
x = 2 ±sqrt( 97)
Answer: y = (xm)/3 + b
Step-by-step explanation:
1. Multiply m on both sides
x × m = 3(y - b)
2. Divide by 3 on both sides
(xm)/3 = y - b
3. Add b on both sides
y = (xm)/3 + b
The area of the circle is 314 square feet.