Answer:
19
----- = x
40-3a
Step-by-step explanation:
3(ax + 9) = -4 (-2 - 10x)
Distribute
3ax +27 = 8+40x
Subtract 3ax from each side
3ax-3ax +27 = 8+40x-3ax
27 = = 8+40x-3ax
Subtract 8 from each side
27-8 = 8-8+40x-3ax
19 = 40x-3ax
Factor an x on the right side
19 = x(40-3a)
Divide each side by 40-3a
19/(40-3a) = x(40-3a)/(40-3a)
19
----- = x
40-3a
Answer:
no solution
Step-by-step explanation:
Answer:
Area of the garden:

Explanation:
Given the below parameters;
Length of the rectangle(l) = 23 ft
Width of the rectangle(w) = 14 ft
Value of pi = 3.14
Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.
The radius(r) of the semicircle will now be;

Let's now go ahead and determine the area of the semicircle using the below formula;

Let's also determine the area of the rectangle;

We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;

Therefore, the area of the garden is 398.93 ft^2
If u = ln(x^(1/3))
then by the chain rule
du = [1/x^(1/3)] * (1/3)x^(-2/3) dx = (1/3)(1/x) dx.
You could get there faster by noting that
ln(x^(1/3)) = (1/3) ln(x), so du = (1/3) dx/x