3 years ago

Factor the trinomial x^2-13x+40

Mathematics

1 answer:

suter [353]3 years ago

6 0

X^2-13x+40
X^2-8x-5x+40
X(x-8)-5(x-8)

(X-5)(x-8)

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<h3>Answer: A) 52 square inches</h3>

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Explanation:

a = 8, b = 13, and c = 15 are the sides of the triangle

s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.

Those values are then plugged into Heron's Formula below

$A = \sqrt{s*(s-a)*(s-b)*(s-c)}\\\\A = \sqrt{18*(18-8)*(18-13)*(18-15)}\\\\A = \sqrt{18*(10)*(5)*(3)}\\\\A = \sqrt{2700}\\\\A = \sqrt{900*3}\\\\A = \sqrt{900}*\sqrt{3}\\\\A = 30\sqrt{3}\\\\A \approx 51.9615\\\\A \approx 52\\\\$

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