The graph for the equation y=x-4 is shown below.
which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
a. y - x = -4
b. y - x = -2
c. y - 4 = x
d. y + 4x = 1

A. y - x = -4

Step-by-step explanation:

y=x-4

To get infinite equations, the equation must be equal to y=x-4

We will solve each of these for y to see if they are identical

A. y - x = -4  

 Add x to each side

y-x+x = x-4

y = x-4

This is the same

It will give infinite solutions

B. y - x = -2

y-x+x = x-2

y =x-2

This is not the same.

It is parallel and will give no solutions

C. y - 4 = x

y-4+4 = x+4

y = x+4

This is parallel and will give no solutions

D. y + 4x = 1

y +4x-4x = -4x+1

This will intersect at a point

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: