Answer:
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
Given data:
The first side of the triangle is p=13 inches.
The second side of the triangle is q=18 inches.
The third side of the triangle is r= 12 inches.
The semi-perimeter is,
The expression for the area of the triangle is,
![\begin{gathered} A=\sqrt[]{s(s-p)(s-q)(s-r)_{}} \\ =\sqrt[]{21.5\text{ in(21.5 in-13 in)(21.5 in-18 in)(21.5 in-12 in)}} \\ =\sqrt[]{(21.5\text{ in)(8.5 in)(3.5 in)(9.5 in)}} \\ =77.95in^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Csqrt%5B%5D%7Bs%28s-p%29%28s-q%29%28s-r%29_%7B%7D%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B21.5%5Ctext%7B%20in%2821.5%20in-13%20in%29%2821.5%20in-18%20in%29%2821.5%20in-12%20in%29%7D%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B%2821.5%5Ctext%7B%20in%29%288.5%20in%29%283.5%20in%29%289.5%20in%29%7D%7D%20%5C%5C%20%3D77.95in%5E2%20%5Cend%7Bgathered%7D)
Thus, the area of the given triangle is 77.95 sq-inches.
Answer:
square root of 2
Step-by-step explanation:
Answer: D
Step-by-step explanation:
because 320/4 = 80 mi/hr because it can not km or min and hr^2 would not make any sense
