Answer:
<h3>(2x-5) (x+1)</h3>
Step-by-step explanation:
Express 2x2 – 3x – 5 as the product of two binomial factors.
factorize the given expression
2x^2 – 3x – 5
2x^2 – 5x+2x – 5
x(2x-5)+ 1 (2x-5)
(2x-5) (x+1)
Hence the expression as the product of two binomial is (2x-5) (x+1)
We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
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