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Science needs Mathematics!

January31

scienceYou might say, “Of course Science needs Mathematics, just as cars need engines.” In some ways, Mathematics is the glue that holds Science together. Mathematics powers the Sciences! This begs the question – “Does Mathematics need the Sciences?

newton2“Mathematics is used in Physical Science for measurements and to show relationships. Arithmetic consists of simple operations with numbers, and algebra describes relationships–often without numbers.

For example, Newton (seen here checking in on H3 – boy, he sure could do with a haircut!) came up with the relationship between force, mass and acceleration. His equation says that force equals the mass of an object times its acceleration. To avoid writing out this sentence, we use the symbols F for force, m for mass and a for acceleration. Thus, the equation can be written: F = ma. (read more here)

Higher Mathematics is used for describing and finding complex relationships between scientific properties. Calculus, differential equations and other advanced mathematics are used in advanced Physical Science calculations and equations.” (adapted from: School-for-Champions)

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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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