Answer:
Step-by-step explanation:
Let the original side is x.
1 foot = 12 inches
<u>New sides of a rectangle are:</u>
<u>The area of rectangle is:</u>
<u>Solve for x:</u>
- x² + 8x - 48 = 960
- x² + 2*4*x + 16 - 64 = 960
- (x + 4)² = 1024
- x + 4 = 32
- x = 28
<u>Area of the original blanket:</u>
9514 1404 393
Answer:
x - 4
Step-by-step explanation:
The expression simplifies to ...

For x ≥ 4, the argument of the absolute value function is non-negative, so it remains unchanged. The simplified expression is ...
x - 4 . . . . for x ≥ 4
A) -2, -1
(solve the second equation for x (subtract 2y to the other side, then divide by 2 so x=-y-3) then plug that equation into the x value of the first equation to get y=-1; plug y=-1 into the second equation to get x=-2)
Explanation:
a)


b) First, we have that

On the other hand,

Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.