<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:
No, Tina is not correct since 3.4 × 105 = 357 and 8.25 × 104 = 858
Answer:
18
Step-by-step explanation:
y=k×x
15=k×5
=>k=15/5=3
when x=6,
y=3×6
=18
A, the relationship lasts over a given period of time.
A scaled version means that our leading coefficient will change. Let's set up an equation to find our leading coefficient, a.
g(x) = a * x^2
Now that we have our equation, we need a point that is on g(x). The point given is (4,8). Let's use that point and plug x and y into our equation so that we can solve for a.
8 = a * (4)^2
8 = a * 16
a = 1/2
All that's left to do is plug in our a value into g(x).
g(x) = 1/2 x^2
Hope this helps!! :)
