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213 miles/hour speed = distance/timeround 213 to 200 as only an estimate;s=200/1 hour = 200/3600 seconds (then divide by 200 to get time for 1 mile)s = 1/18at this speed, the plane t...

a^2+b^2=c^2Rearrange so that c = sqrt(a^2+b^2) = 5.83 cm

This is factorisation by common factor, so we need to write 4x+6x^{2} as a product. First we need to find the highest common factor of 4x and 6x^{2} so that we can take it out, which in th...

Expand brackets on LHS4x+12=2x+8Collect "like" terms4x-2x=8-122x=-4Divide both sides by 2 to solve for xx=-4/...

y=3x^{2}+2x^{-1 }dy/dx= 6x+2x-2 for turning point 6x+2x-2 =0 x=y=4.33