A)
a³ * a⁵ = a⁵⁺³
= a⁸
b)
b⁶ / b³ = b⁶⁻³
= b³
c)
4c⁷ * 3c⁵ = (4 * 3)c⁷⁺⁵
= 12c¹²
d)
12p⁶ / 4p² = (12 / 4)p⁶⁻²
= 3p⁴
e)
(3p²q³)³ = (3)³(p²)³(q³)³
= 27p²⁽³⁾q³⁽³⁾
= 27p⁶q⁹
f)
Shaded area = Area of large rectangle - Area of smaller rectangle
Area of large rectangle = 5(4x - 2)
= 20x - 10
Area of smaller rectangle = 3(2x - 3)
= 6x - 9
Shaded area = (20x - 10) - (6x - 9)
= 20x - 6x - 10 + 9
= 14x - 1
Answer:
C) 
Step-by-step explanation:
By the cos double angle formula, we know
Substituting
into the formula, we get
.
The answer is C.
Answer:
The line of symmetry is x=8
Step-by-step explanation:
Answer:
The length is 99 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2 (l+w)
310 = 2( l+56)
Divide each side by 2
310/2 = 2/2( l+56)
155 = l+56
Subtract 56
155-56 = l+56-56
99 = l