<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>
Answer:
Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t.
This means that the population growth is modeled by the following differential equation:
Which has the following solution:
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The population has doubled in 10 years
This means that 
. We use this to find r.
So the equation that will estimate the population of the community in t years is:
Answer:
Origin symmetry?
Step-by-step explanation:
I believe it's origin, simply because it isn't symmetric according to either the x or y axis, but I'm not 100% sure
Hey
so I don't know the answer but you can try and it something Sorry
Answer:
d= 36.016m
Step-by-step explanation:
We have given angle B, the adjacent side, and we need the opposite side, we can use Tan to find d using angle B and the adjacent side.
Tan(42)=d/40
We multiply both sides with 40:
(40)Tan(42)=d
Use a calculator to find the final solution:
40(0.9004)=d
36.016=d
Note: 0.9004 is the solution to tan(42)
