8. When you’re making subsets, you have two options for each element in the original set: you can either include it or not. This gives you 2 x 2 x 2 = 8 possible ways you can put a subset together from the three elements in {3, 4, 5}.
Answer:
7x + 2y = -22
Step-by-step explanation:
Standard form looks like Ax + By = C.
Start with Y = -7/2x-11. Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.
Move the (-7/2)x term to the left:
(7/2)x + y = -11
Multiply all terms by 2 to eliminate the fractions:
7x + 2y = -22 (answer)
P=2l+2w
Since it is given that P=26m, length is 5 more than its width (w+5), we'll work it out in the perimeter formula.
26=2(w+5)+2w
26=2w+10+2w
26=4w+10
4w=26-10
4w=16
w=4
Thus the width is 4m. Let's find the length.
l=w+5
l=4+5
l=9
The length of a pen is 9m.