Write the equation in slope-intercept form, for the line that would coincide with (be in line with) line segment AB.

Mathematics

1 answer:

Llana [10]2 years ago

8 0

Answer:

$y=2$

Step-by-step explanation:

We are finding the equation of the line that coincide with line segment AB.

So, we can find the equation by using points A and B.

$A\rightarrow(-3,2)\\B\rightarrow)(1,2)$

Slope of line (m) = $\frac{y_2-y_1}{x_2-x_1} = \frac{2-2}{1-(-3)} = 0$

Since slope = 0, therefore the line is parallel to x-axis.

The equation of line is given by $y=mx+b$

where $m$ is slope and $b$ is y-intercept.

So equation of line AB:

where $m=0$ and $b=2$

$y=(0)x+2$

$y=0+2$

$y=2$

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Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho

nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

Step 2

We use the fundamental principle of counting with $n=4$ for a total of $k=16$ steps. This test can be carried out in $4^{16}=4294967296$ ways. This comes from multiplying 4 by itself 16 times.