Answer:
16/81
Step-by-step explanation:
(-2/3)^4
expand...
-2/3*-2/3*-2/3*-2/3
multiply
numerator: -2*-2*-2*-2=16
denominator: 3*3*3*3=81
Thus the fraction is 16/81
Hope this helps!!!
Answer:
not enough info
Step-by-step explanation:
f times x equals -3 there could be many answers like f is 1 x is -3 or f is -3 x is 1 and more
Answer:
D. Parallelogram
Step-by-step explanation:
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Given that the metal strip is being installed around a bench that 6ft long 2ft wide. The metal required will be given by:
P=4(L+W)
=4(6+2)
=4(8)
=32 ft
Therefore we conclude that we need a metal strip that is 32ft long
