Answer:

Step-by-step explanation:
This is a hard one
We have to use the rational root theorem
= 0
We have to find all the factors of a and d and put them in a fraction

We then plug them into the equation to see if any of them work
The equation isn't true when plugging 1, but is true when plugging in 1/2
factored form of 1/2 is (2x-1)
Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get 
So now the equation is 
Solve the second half of this equation using the quadratic formula to get
and 
We already know the solution for the first half of the equation (1/2)
So the final answers are:

Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA =
pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA =
(24)(5) + 36
SA = 60 + 36 = 96 ft²
Answer:

Step-by-step explanation:
so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.





We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.
area of triangle =
x base x height
area of triangle =
x 10 x 12
area of triangle = 60
Answer:
16(0.5x - 0.75y + 2)
Step-by-step explanation:
16 x 0.5 = 8
16 x -0.75 = -12
16 x 2 = 32
Answer is the picture below: