Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
Let the width be W, then the length is 4W (since the width is 1/4 the length)
The area of the original deck is

The dimensions of the new deck are :
length = 4W+6
width=W+2
so the area of the new deck is :

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:




the length is

ft
Answer: width: 4, length: 16
Answer:
first get a common denominator by multiplying 7 and 4 to get 28
28 is our common denominator here.
Step-by-step explanation:
We want to add the fractions 2/7 and 1/4
(2/7) * (4/4) and (1/4) * (7/7)
(2/7) * (4/4) + (1/4) * (7/7) = 8/28 + 7/28 = 15/28
Answer:
6
Step-by-step explanation:
3x-4=14
3x=14+4
3x=18
x=6
Answer:
k= -9
Step-by-step explanation:
2k-3=9k+63-3 [expand the 9(k+7) first]
2k-9k=63-3+3 [put the like terms together]
-7k=63 [do the simple math]
k= 63 ÷ by -7
k=-9