What does the remainder theorem conclude given that f(x)/x+6 has a remainder of 14? Enter your answer by filling in the boxes.
1 answer:
Answer:
Step-by-step explanation:
According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).
It is given that has a remainder of 14.
Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get
So, by remainder theorem, remainder of is f(-6).
Since the remainder is 14, therefore
Therefore, the answer for first blank is -6 and for second blank is 14, i.e., .
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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