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138° + w° = 180° (sum of angle on a straight line)
w° = 180° - 138°
w = 42
19° + x° + w° = 90°
sub. in w=42,
19° + x° + 42° = 90°
x° = 90° - 19° - 42°
x° = 29°
x = 29
Answer:
y = -
(x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = -
(x - 1)² + 2
1.001 is the smallest :)))
Answer:
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Step-by-step explanation: