Alinear 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

ANSWER

D)14

EXPLANATION

The linear function includes the ordered pairs (2,5), (6,7) and (k,11).

The slope of this line is the same for any two given points:

Cross multiply,.

2(k-6)=4×4

2(k-6)=16

Divide both sides by 2

k-6=8

k=8+6

k=14

Option D will be the answer.

Step-by-step explanation:

y intercept form of a line is represented by y = mx + c

Where m = slope of the line and c = y- intercept of the line.

A line passing through two points (2, 5) and ( 6, 7) has the slope

m =

   =

  =

  =

Equation will be y =

This line passes through (2, 5)

5 =

c = 5 - 1

c = 4

And the equation will be y =

Since a point (k 11) passes through the line then we will plug in these values in the equation to find the value of k.

11 =

11 - 4 =

7 =

k = 2×7

  = 14

Option D will be the answer.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

5 pm

step-by-step explanation: