Answer:
The remainder theorem
Step-by-step explanation:
The remainder theorem states that given a polynomial f(x) and a linear factor x - k as in the question, then if f(x) is divided by x - k, then remainder is obtained at the value of x - k = 0 ⇒ x = k. That is, the remainder is f(k) when x = k.
For example, if we have a polynomial f(x) = x³ + 3x² -2x + 1 and a linear factor x - 1. The remainder theorem states that the remainder when f(x) is divided by x - 1 is obtained by equating the factor to zero and finding the value of x.
So, x - 1 = 0 ⇒ x = 1
Substituting x = 1 into f(x), we have
f(x) = x³ + 3x² -2x + 1
f(1) = 1³ + 3(1)² -2(1) + 1
= 1 + 3 - 2 + 1
= 3.
So, the remainder is 3.
The base length of a window is the length of its bottom. The area of a window is A = bh where b is the base and h is the height. So the area of the glass needed is bh or 5h. The answer is 5h.
Answer:
1/5 ; 1.64
Step-by-step explanation:
Cara used 1.64 pints of blue paint or 1/5 of 8.2.
C=25.12 ; 3.14•8=25.12
a=200.96 : 8^2•3.14=200.96/ 64•3.14=200.96
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides <em>is</em> possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
<em>However</em>, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
