A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is increasing at the rate of r(t) = 2t + 1 where t is the time in minutes. (a) Find a function that gives the area burned as a function of time. Remember, A = π r^2 (b) Find the total area burned after 5 minutes. The circumference C of a circle is a function of its radius given by C(r) = 2 π r. (a) Express the radius of the circle as a function of the circumference, r(C). (b) Find r(36π) and interpret its meaning.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: