A linear function includes the ordered pairs (2, 5), (6, 7), and (k, 11). What is the value of k?

A
8

B
10

C
12

D
14

Step-by-step explanation:

Find the value of k using the slope formula.  First, find the slope between the 2 points for which you have both x's and y's:

We need k to have a value such that when we sub it into the slope formula, the slope between that point and either one of the others is 1.

 and

Cross multiply to get

k - 6 = 4 so

k = 10

Choice B is the one you want.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a