Answer:
The value of k that makes the relationship shown in the table below proportional is 
Step-by-step explanation:
The relation is proportional if 
Putting values of x and y to find k.
For x =2 and y =1 k is: 
For x =4 and y =2 k is: 
For x =6 and y = 3 k is: 
For x = 8 and y = 4 k is: 
For x =10 and y = 5 k is: 
So, The value of k that makes the relationship shown in the table below proportional is 
The answer is ASA Theorem because it first has the same angle, the same side, the same angle.
Answer:

Step-by-step explanation:
Using the Pythagoras theorem for triangle MTU,





From, triangle NTU,

This implies that:




units.
Answer:
f(x) = (x+2) (x+2)^3 (x-1) (x-6)
Step-by-step explanation:
The first zero, -2, corresponds to the factor x+2 of the polynomial.
Given that this zero, -2, has multiplicity 3, (x+2)^3 represent the first three factors of the polynomial.
The next factor stems from the zero 1: (x-1).
The next 6 factors stem from the zero 6: (x-6).
Writing the polynomial in factored form, we get:
f(x) = (x+2) (x+2)^3 (x-1) (x-6)