Answer:
The dimensions of the old rug are 8 ft by 12 ft
Step-by-step explanation:
Let
x ----> the length of the old rug
y ----> the width of the old rug
we know that

so
The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug
so


therefore
The dimensions of the old rug are 8 ft by 12 ft
Answer:
14
Step-by-step explanation:
Answer:
a^7
Step-by-step explanation:
a to the 7th power
Answer:
hence cos ( 2 A ) = cos 2 A − ( 1 − cos 2 A ) = 2 cos 2 A − 1
Step-by-step explanation:Well we know that for two angles A , B
it holds that cos ( A + B ) = cos A cos B − sin A ⋅ sin B hence for A = B you get cos ( 2 A ) = cos 2 A − sin 2 A But sin 2 A = 1 − cos 2 A
An even function implies f(x) = f(-x)
We know that if (6,8) is a point on the graph, then f(6) = 8
By definition, f(6) = f(-6) = 8
So (-6, 8) is also a point on the graph.