Answer:
x = 3 ± 2
Step-by-step explanation:
given
x² - 6x + 1 = 0 ( subtract 1 from both sides )
x² - 6x = - 1
To complete the square
add (half the coefficient of the x- term)² to both sides
x² - 6x + (- 3)² = - 1 + (- 3)²
x² - 6x + 9 = - 1 + 9
(x - 3)² = 8 ( take the square root of both sides )
x - 3 = ±
= ± 2
( add 3 to both sides )
x = 3 ± 2
Answer:
C. g(x) = x^2 + 3
Step-by-step explanation:
Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = 
Since, scale factor = 
For Steffie,
Actual length of the crate = 
= 
= 45 inches
Actual width of the crate = 
= 36 inches
Since Brian used the scale factor = 
Length of the drawing = Actual length × Scale factor
= 45 × 
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × 
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)
'what number' indicates an unknown value we can represent with 'x'
'is' indicates an equal sign.
25% = 0.25
'of' indicates multiplication.
x = 0.25 * 180
x = 45