Help? (1# only) In really confused :(
1 answer:
You might be interested in
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:
5x - 4y = 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 4y = 36 ( subtract 5x from both sides )
- 4y = - 5x + 36 ( divide all terms by - 4 )
y = x - 9 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (8, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = x - 8 ← in slope- intercept form
Multiply through by 4
4y = 5x - 32 ( subtract 4y from both sides )
0 = 5x - 4y - 32 ( add 32 to both sides )
32 = 5x - 4y, that is
5x - 4y = 32 ← in standard form