1/5( 1/2 + 1/3)
1/5 (3/6 + 2/6)
1/5(5/6)
5/30
1/6
Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
The surface area increases by a factor of 4. 2^2= 4.
The area of the long side is 3×1= 3cm^2 on the small prism.
The area of the long side is 6×2= 12cm^2 on the large prism.
12/3= 4.
Answer:
<h2>
140°</h2>
solution,
Let <DEF= x°
<CDE= 2x°
<BAF= 90°
The sum of interior angle of hexagon= 720°
<A + <B + <C + <D + <E +<F = 720°

Again,

Hope this helps...
Good luck on your assignment..