The straight line 2x + 3y = 7 meets the curve
1 answer:
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Answer:
10 units
Step-by-step explanation:
Allow me to revise your question for a better understanding.
<em>"In the xy-plane, the parabola with equation y = (x − 11) ² intersects the line with equation y = 25 at two points, A and B. What is the length of AB" </em>
Here is my answer
Because the parabola intersects the line with equation y = 25 Substituting y = 25 in the equation of the parabola y = (x - 11)², we get
25 = (x - 11)²
<=>x - 11 = ± 5
<=>
Thus A(16, 25) and B(6, 25) are the points of intersection of the given parabola and the given line.
So the length of AB = √[(16 - 6)² + (25 - 25)²]
= √100 = 10 units