The fence you have must fit the perimeter of the rectangle.
With 36 feet of fence, these are the rectangles that you can enclose:
1-ft x 17-ft . . . Area = 17 ft²
2 x 16 . . . Area = 32 ft²
3 x 15 . . . Area = 45 ft²
4 x 14 . . . Area = 56 ft²
5 x 13 . . . Area = 65 ft²
6 x 12 . . . Area = 72 ft²
7 x 11 . . . Area = 77 ft²
8 x 10 . . . Area = 80 ft²
9 x 9 . . . Area = 81 ft²
Answer:
length = 17cm, width = 10cm
Step-by-step explanation:
2L + 2w = 54
L = w + 7
Substitute:
2(w + 7) + 2w = 54
2w + 14 + 2w = 54
4w = 40
w = 10
L = 10 + 7 = 17
Answer:
see below
Step-by-step explanation:
Choose a couple of values for x. Figure out the corresponding values for y. Plot those points and draw a line through them.
Let's choose x=0 and x=4. Then the corresponding y-values are ...
y = 2·0 = 0 . . . . . point (x, y) = (0, 0)
y = 2·4 = 8 . . . . . point (x, y) = (4, 8)
These are graphed below.
Answer:
y = ![8(-\frac{1}{2})^x](https://tex.z-dn.net/?f=8%28-%5Cfrac%7B1%7D%7B2%7D%29%5Ex)
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points
and (3, -1)
For the point
,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=
![-\frac{1}{2}=b^{(4-3)}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%3Db%5E%7B%284-3%29%7D)
![-\frac{1}{2}=b](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%3Db)
From equation (2)
-1 = ![a(-\frac{1}{2})^3](https://tex.z-dn.net/?f=a%28-%5Cfrac%7B1%7D%7B2%7D%29%5E3)
-1 =
a = 8
Therefore, equation of the exponential function will be,
y = ![8(-\frac{1}{2})^x](https://tex.z-dn.net/?f=8%28-%5Cfrac%7B1%7D%7B2%7D%29%5Ex)