Answer:
x = 1
x = -5/8 + i* root( 39) / 8
or x = -5/8 - i* root( 39) / 8
Step-by-step explanation:
(x+x)^2 × -(x×(-1))=4+x-x^2
solve for x, show work.
(x+x)^2 × -(x×(-1)) = 4+x-x^2
Simplify:
(2x)^2 * (-(-x)) = 4 + x - x^2
4x*x * (-(-x)) = 4 + x - x*x
4*x*x*x = 4 + x - x*x
4*x*x*x - 4 = x *(1 - x)
4* (xxx - 1) = x * (1- x)
4* (x - 1)*( x*x +x + 1) = x (1 - x)
4( xx + x + 1) = -x
x = 1 is a solution.
4xx + 4x + 4 = -x
4xx + 5x + 4 = 0
x = -5/8 + root(25 - 4*4*4) / 2*4
x = -5/8 + i* root( 39) / 8
or x = -5/8 - i* root( 39) / 8
also x = 1
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
"T is a subset of P"
Not true since triangle has three sides but parallelogram has four sides.
"E is a subset of I"
True since equilateral triangles are isosceles triangles with all angles equal.
"S is a subset of T"
True since scalene triangles are still triangle.
"I ⊂ E"
False since there are isosceles triangles those are not equilateral triangles. Namely triangle with angles 20°, 20°, 140°
"T ⊂ E"
False since not all triangles are equilateral. Scalene triangle is one of counterexamples.
"R ⊂ P"
True since rectangles are parallelograms with right angles.
Final answer: <span>E is a subset of I, </span>S is a subset of T, and R ⊂ P.
Hope this helps.
Answer:
C. 184 ft²
Step-by-Step Explanation:
The formula for the surface area of a triangular prism is
SA = bh + 2ls + lb; where b = base, h = height, l = length, s = side
First, substitute the known value into the equation:
b = 6 ft
h = 4 ft
l = 10 ft
s = 5 ft
SA = (6)(4) + 2(10)(5) + (10)(6)
Then, all we have to do is simplify:
SA = 24 + 2(50) + 60
SA = 24 + 100 + 60
SA = 184 ft²
Hope this helps!
