For the following pair of lines, identify the system by type.

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

Inconsistent

Step-by-step explanation:

A system of equation is said to be inconsistent if the lines are parallel or the system of equations have no solution.

From the given graphs of lines, we can say that the lines are parallel to each other. Hence, the graphs never intersect.

Since, the lines are parallel hence, we can say that there would be no solution for the system of equations.

Therefore, the system is inconsistent.

Hence, third option is the correct option.

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(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the

Maru [420]

Answer:

B. d = 5/3t

Step-by-step explanation:

The complete question is shown in the figure attached with.

We need to find the equation of direct variation using the graph. The general equation for a direction variation is:

y = kx

In this case, the variable along x axis is time in seconds i.e. "t" and the variable along y axis is distance in meters i.e. "d". So, the equation for this case would be:

d = kt

We need to find the value of "k" to complete this equation. For this we can use any point from the graph and substitute it in the above equation. From the graph we can see that the distance covered for time = 3 seconds is 5 meters. Substituting t =3 and d = 5 in above equation, we get:

5 = 3k

k = 5/3

Using the value of k in the above equation, we get:

$d=\frac{5}{3}t$