Answer:
28 inches
Step-by-step explanation:
P = 2 (a + b) = 2 · (6 + 8) = 28
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
This can also be written as A = s^2 and the area would be 49 with a side length of 7.
In order to find this, you can stick 7 into the area equation.
A = s^2
A = 7^2
A = 49
A linear equation cannot be used.
because 60/1 isn't equal to 70/5 and isn't equal to 80/20 and so on.
For this case we have that by definition, a direct variation is given by:
Where:
k: It is the constant of proportionality of the variables.
On the other hand, we have that the inverse variation is given by:
Where:
k: It is the constant of proportionality of the variables.
In this way, the correct option is: 
ANswer:
Option A
