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PilotLPTM [1.2K]
3 years ago
14

46 divided by 5 long divison

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0
9.2 (b) is the answer hope this helped!
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Which ordered pairs in the form (x, y)(x, y) are solutions to the equation
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Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x^2+9 and y=2
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Answer:

The length of the segment AB is √48

Step-by-step explanation:

Given the two equations, the idea is to find the solution to the system

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x² + 9 = 2x² - 3 ⇒ x² - 2x² = -3 - 9 ⇒ -x² = -12 ⇒ x² = 12 ⇒ x = ±√12.

With this value we return to the original equations and replace it to find "y" values.

y = (±√12)² + 9 ⇒ y = 21

The solutions to the system are (-√12, 21) and (√12, 21). Now you need to find the distance between this points.

d= √[(x2-x1)² + (y2-y1)²] ⇒ d = √48.

The length of the segment AB is √48.

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Step-by-step explanation:

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