Using a red, blue, green and yellow block only once in each row, how many four block patterns can you make that have a red block in the first position?

Step-by-step explanation:

The number of ways in which distinct objects can be arranged in  a row is .

Given that we have distinct blocks and each block can be used only once.

We need four block patterns which means we need all all the four blocks available to creating one pattern.

Given that every pattern starts with a red block.

So,three blocks can be arranged after the red block in ways.

So,the number of patterns that can be made is .

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0