Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± 
= ± 2i ( add 8 to both sides )
x = 8 ± 2i
Answer:
The answer is 3.6 acres per day
Step-by-step explanation:
To find the unit rate divide the number of acres by number of days
∴ Unit rate = 
÷ 
= (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8
= 27/4 × 8/15 = 18/5 = 3.6 acres per day
Answer:
≤ 14
Step-by-step explanation:
2 * x - 5 ≤ 18
divide 2 from both sides.
x - 5 ≤ 9
the answer is less than or equal to 14
Answer:
theta =36.45268177
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = 74/92
Taking the inverse cos of each side
cos^-1 ( cos theta) = cos^-1 (74/92)
theta =36.45268177
