The question is where did they go wrong with the equation: 2(s-5)=2(s+5)
1 answer:
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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
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio on right triangle KJL
and the exact value sin30° =
sin30° = =
=
=
( cross- multiply )
2JL = 8 ( divide both sides by 2 )
JL = 4
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Using the sine ratio in right triangle JLM
and the exact value sin45° =
sin45° = =
=
=
( cross- multiply )
x × = 4
( divide both sides by
x = 4