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Scale that Rock!


After a 10-year journey, the space probe Philae has landed on the 67P/Churyumov-Gerasimenko comet after being launched from the space probe Rosetta. Astrophysicists hope Philae will unlock knowledge about the origins of the solar system and even life on Earth, which some believe may have started with comets seeding the planet with life-giving carbon molecules […]

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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