Given the following rectangle and circle, what appropriate value of x are the two areas equal? A: x= 3.4 B: x=5.8 C: x= 10.2 D:
the curves do not intersect, so there is no solution
1 answer:
The correct option is D:
the curves do not intersect, so there is no solution
<h3>For what values of x are the two areas equal?</h3>
The area of the rectangle is given by:
f(x) = (x + 7)*(5x - 3)
f(x) = 5x² -3x + 35x - 21
f(x) = 5x² + 32x - 21
For the circle, the area is:
g(x) = 2*pi*(x + 6)^2
g(x) = 2pi*x^2 + 12pi*x + 72pi
The solution is given g(x) = f(x).
By graphing both functions (the green curve is the area of the rectangle, the orange one is the area of the circle). The two curves never do intercept, so the correct option is D.
If you want to learn more about areas:
#SPJ1
You might be interested in
For this case we have the following expression in units of minutes:
As the exponent is positive we run the decimal six spaces to the right:
We have 1 hour has 60 min, then:
On the other hand, we have one day has 24 hours.
Likewise, a month has 30 days:
Also, one year has 365 days:
Finally, Mia is 13 years old equivalent to 160 months, which is equal to 4817 days.
ANswer:
Mia is 13 years old equivalent to 160 months, which is equal to 4817 days.