Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,
P = 2L + 2W
Substituting the perimeter,
36 = 2L + 2W
Simplifying,
18 = L + W
The area is calculated by multiplying the length and width as below,
A = 80 = LW
Substituting the expressions,
80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.
Therefore, the dimensions of the rectangle are 8 m by 10 m.
An exponential function can be expressed as:
y=ab^x we have two points so we can solve
64/8=(ab^4)/(ab^1)
8=b^3
2=b, now we have:
y=a(2^x), using point (4,64)
64=a(2^4)
64=16a
4=a so
y=4(2^x)
If you do width times length you will get 30. Good luck
Y=4x−1
Explanation:
The equation of a line in
slope-intercept form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
m
x
+
b
2
2
∣
∣
∣
−−−−−−−−−−−−−−−
where m represents the slope and b, the y-intercept.
Rearrange
4
x
−
y
=
1
into this form
subtract 4x from both sides.
4
x
−
4
x
−
y
=
−
4
x
+
1
⇒
−
y
=
−
4
x
+
1
multiply through by -1
⇒
y
=
4
x
−
1
←
in slope-intercept form
