Answer: E.) 41.95m
Step-by-step explanation:
Area (A) = 85 square meters
Length (L) = a
Width (W) = (a - 10) meters
Area of rectangle(A) = Length (L) × Width (W)
85 = a × (a - 10)
85 = a^2 - 10a
a^2 - 10a - 85 = 0
Using quadratic equation solver :
a = 15.488088482 or a = −5.488088482
Since a cannot be negative, a = 15.49m
Therefore, Length (L) = 15.488m
Width(W) = a - 10 = (15.488 - 10) = 5.488m
Perimeter of rectangle(P) :
P = 2 (L + W)
P = 2 (15.488 + 5.488)
P = 2(20.976)
P = 41.952m
P = 41.95m
8 - Percentage decrease =
8 - (25% × 8) =
8 - 25% × 8 =
(1 - 25%) × 8 =
(100% - 25%) × 8 =
75% × 8 =
75 ÷ 100 × 8 =
75 × 8 ÷ 100 =
600 ÷ 100 =
6
4k^3 - 8k^2 + 6k^2 - 12k - 6k - 9
Combine like terms... -8k^2+6k^2= -4k^2
-12k+6k=-6k
and leave 4k^3 and -9 alone because you don't have anything to combine it with so the equation is 4k^3 -4k^2 -6k -9
