The question is the thing that needs help. What does that hanging "a leading 2" mean? And rational real coefficients? Obviously if they're rational they're gonna be real, but really.
I would say "a leading 2" means the highest power of x has a coefficient to two, which is none of the above.
The last two are of degree two, which is the lowest degree. They both have integer coefficients, so are necessarily real and rational as well.
Neither has a leading 2 as far as I can tell. The last one is monic (a leading coefficient of 1). I like monic polynomials so I'd pick that one, but that doesn't make it right.
None of the above
1. For y, I think that refers to the first picture attached. As you can see, each side of the triangle have the same short line drawn across it. It means that they are equal in length. That means the triangle is equilateral, which means each interior angle is 60°. Thus,
60 = 5y + 10
5y = 60 - 10
5y = 50
y = 50/5 =<em> 10</em>
2. As you can see in the second picture attached, Angles B and C are equal. That also means that their respective opposite sides are equal. So,
8x - 4 = 5x + 11
8x - 5x = 11 + 4
3x = 15
x = 15/3 = 5
Consequently,
BC = 4x - 2
BC = 4(5) - 2 = <em>18</em>
Area of the triangle-
(4*3)/2= 6
Area of the rectangle-
10*3= 30
Area of the trapizoid
(3+5)/2*2= 8
add them all together:
30+8+6= 44
your answer is 44 inches (:
