Answer: x^2 + 4x + 4
Explanation:
just expand, factor out, and add together.
(x+2)(x+2)
x • x = x^2
2x + 2x = 4x
2 • 2 = 4
x^2 + 4x + 4
Answer:
y = 5/9x - 37/3
Step-by-step explanation:
5x - 9y = 8
-9y = -5x + 8
y = 5/9x - 8/9
- When a line is parallel, the slope remains the same.
y = 5/9x + b
-9 = 5/9(6) + b
-9 = 10/3 + b
-37/3 = b
Answer:
Step-by-step explanation:
log₂125 = log₂(5²) = 2log₂5 = 2k
Answer:
length = 31 ft
width = 19 ft
Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
Hope this helps :)
Answer:
6(y + 4) = -3(2y - 2) + 8y
6y + 24 = -6y + 6 + 8y
6y + 24 = 2y + 6
Subtract -2y on both sides
4y + 24 = 6
Subtract -24 on both sides
4y = -18
y = - 4.5
