Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² =
( take the square root of both sides )
x + 2 = ±
= ±
= ±
( subtract 2 from both sides )
x = - 2 ± 1.5
, thus
x = - 2 - 1.5
≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5
≈ 0.12 ( to 2 dec. places )
Answer:
It is neither
Step-by-step explanation:
It is neither because they do not have a common difference
Answer:
Hey there!
Triangle PQT and RQT are congruent by AAS. AAS means that one side is congruent, and two angles are congruent.
Since these triangles share one side, then the side is congruent.
PR is a straight line, so if angle Q is 90 degrees, then the supplementary angle is also 90 degrees.
Finally, the diagram shows that angles R and P are congruent to each other.
Hope this helps :)