Please give a step-by-step solution of 2x^2 +12x = 6 (by completing the square)
1 answer:
Answer:
x = - 3 ± 2
Step-by-step explanation:
Given
2x² + 12x = 6 ( divide through by 2 )
x² + 6x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 3 + 9
(x + 3)² = 12 ( take the square root of both sides )
x + 3 = ± = ± 2
( subtract 3 from both sides )
x = - 3 ± 2 ← exact solutions
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Answer:
3.897
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded