Answer:
Options A) and E)
Step-by-step explanation:
If you use Ruffini's method for polynomials, you can find the roots.
The given picture shows us the first root of the polynomial wich is 2.
Thus, the original polynomial can be written as
Here, you can notice that (x-2) is a factor
<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;
Substituting the values, we get;
Cross multiplying, we get;
Dividing both sides by 27, we have;
Thus, the value of x is
Hence, Option D is the correct answer.
Answer:
is the expression with value of 15 when n = 7.
Step-by-step explanation:
To find the expression whose value is 15, substitute the value of n = 7 in each given expression.
Expression 1:
Substituting the value of n,
Simplifying,
Since the value of the expression is 8 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 2:
Substituting the value of n,
Simplifying,
Since the value of the expression is 16 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 3:
Substituting the value of n,
Simplifying,
Since the value of the expression is 14 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 4:
Substituting the value of n,
Simplifying,
Since the value of the expression is 15 which is equal 15.
Hence expression has the value of 15 when n = 7.