Answer:
The perimeter is 52
Step-by-step explanation:
The area is 36x^2 -60x+25
We set this equal to 0 to find the length and width
A= 36x^2 -60x+25
We notice that this is a perfect square trinomial
(a^2 -2ab-b^2) = (a-b)^2
let a = 6x and b=5
A=(6x-5) (6x-5)
The length and width are the same since is it a square (we know it is a square so they have to be equal)
The perimeter of a square is
P =4s
P =4 (6x-5)
Distribute the 4
= 24x -20
Let x =3
P = 24(3) -20
=72 -20
= 52
The perimeter is 52
Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
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Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
The answer for this problem is a,c, and d
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