Answer:
The probability is 6/52 = 3/26.
Step-by-step explanation:
The length must stay the same
Answer: -11, -3, 17
Step-by-step explanation:
There are three answers depending on what x equals. In this case, x can equal: -2, 0, or 5.
Part 1:
Step 1: Substitute -2 for x
-3 + 4(2)
Step 2: Solve
-3 + 8 = 5
This is the first answer
Part 2:
Step 1: Substitute 0 for x
-3 + 4(0)
Step 2: Solve
-3 + 0 = -3
This is the second answer
Part 3:
Step 1: Substitue 5 for x
-3 + 4(5)
Step 2: Solve
-3 + 20 = 17
This is the third answer
The general formula for an arithmetic sequence is:
<span>a(n) = a + d(n - 1) </span>
<span>a : first term </span>
<span>d : common difference (6) </span>
<span>n : number of the term </span>
<span>In your example, you are told the 6th term is 22. </span>
<span>a(6) = a + 6(6 - 1) = 22 </span>
<span>a + 30 = 22 </span>
<span>a = 22 - 30 </span>
<span>a = -8 </span>
<span>So now you have the general formula: </span>
<span>a(n) = -8 + 6(n - 1) </span>
<span>If you like you can simplify it: </span>
<span>a(n) = -8 + 6n - 6 </span>
<span>a(n) = 6n - 14 </span>
<span>Then you can plug in n = 50: </span>
<span>a(50) = 6(50) - 14 </span>
<span>= 300 - 14 </span>
<span>= 286</span>
Answer:
Part 1) Vertical line : ![x=1](https://tex.z-dn.net/?f=x%3D1)
Part 2) Horizontal line : ![y=-4](https://tex.z-dn.net/?f=y%3D-4)
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is
![x=1](https://tex.z-dn.net/?f=x%3D1)
Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is
![y=-4](https://tex.z-dn.net/?f=y%3D-4)