Perimeter:

Area:

Step-by-step explanation:
Perimeter of a rectangle : P= 2( L + w)
in this case it would be 2(y+6) + 2(2y)
= 2y+12 + 4y
simplified to 6y +12
Area of a rectangle : A= LW
=(y+6)(2y)
We foil and get

Answer:
Step-by-step explanation:
Let the rate at which the bacteria grow be represented by the exponential equation
P(t) = P0e^kt
P(t) is the population of the bacteria after time t
P0 is the initial population
k is the constant of variation
t is the time
If the initial Population is 160 bacteria's, them the equation becomes;
P(t) = 160e^kt
b) if After 5 hours there will be 800 bacteria, this means
at t = 5 p(t) = 800
Substitute and get k
800 = 160e^5k
800/160 = e^5k
5 = e^5k
Apply ln to both sides
Ln5 = lne^5k
ln5 = 5k
k = ln5/5
k = 0.3219
Next is to calculate the population after 7hrs i.e at t = 7
P(7) = 160e^0.3219(7)
P(7) = 160e^2.2532
P(7) = 160(9.5181)
P(7) = 1522.9
Hence the population after 7houra will be approximately 1523populations
c) To calculate the time it will take the population to reach 2790
When p(t) = 2790, t = ?
2790 = 160e^0.3219t
2790/160 = e^0.3219t
17.4375 = e^0.3219t
ln17.4375 = lne^0.3219t
2.8587 = 0.3219t
t = 2.8587/0.3219
t = 8.88 hrs
Hence it will take approximately 9hrs for the population to reach 2790
Answer:
use pythagoras theorem to solve ur problem.
Answer:
Equation in slope intercept form: y = -2x -1
Step-by-step explanation:
First you must convert this equation from standard form to slope intercept form (y=mx+b).
Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.
Now to graph:
First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.
Next we will go down 2 units and over to the right 1 unit, until we get to the next point.
(Picture is attached above for your convenience⤴⤴⤴)
Hope this helps you :)