Here is a simple way we can do this.
We have six blanks.
__ __ __ __ __ __
Now, we have 13 possible options to fill in blank number one.
13 __ __ __ __ __
Now we have 12 possible options to fill in blank number two because one person has already been chosen.
13 12 __ __ __ __
Now we have 11 possible options for blank number three.
13 12 11 __ __ __
Now we have 10 possible options for blank number four.
13 12 11 10 __ __
And so forth until we get:
13 12 11 10 9 8
Now we just have to multiply the numbers all together.
13 * 12 * 11 * 10 * 9 * 8
is equal to:
1235520 ways.
Answer:
Step-by-step explanation:
Compare the equation with y = mx + b where m is slope and b is y intercept
y = (5/4)x - (7/4)
Slope = m = 5/4
Answer:
First option.
Step-by-step explanation:
Use the formula y = mx + b.
Where m is the slope, and b is the y-intercept.
y = -2x + 3
The slope is -2. The y-intercept is (0, 3).
Answer:
X <= 4
Step-by-step explanation:
-3x - 24<= -36
Make -3x the subject, by carrying -24 to the other side
Note: Moving -24 to the other side changes to + 24
-3x <= -36 + 24
-3x <= - 12
Minus cancels minus
3x <= 12
Divide both sides by 3,to get the value of x
3x/3 <= 12/3
x <= 12/3
x <= 4
Therefore, x equals to 4
Answer:
The rectangular coordinates of the point are (3/2 , √3/2)
Step-by-step explanation:
* Lets study how to change from polar form to rectangular coordinates
- To convert from polar form (r , Ф) to rectangular coordinates (x , y)
use these rules
# x = r cos Ф
# y = r sin Ф
* Now lets solve the problem
∵ The point in the rectangular coordinates is (√3 , π/6)
∴ r = √3 and Ф = π/6
- Lets find the x-coordinates
∵ x = r cos Ф
∵ r = √3
∵ Ф = π/6
∴ x = √3 cos π/6
∵ cos π/6 = √3/2
∴ x = √3 (√3/2) = 3/2
* The x-coordinate of the point is 3/2
- Lets find the y-coordinates
∵ y = r sin Ф
∵ r = √3
∵ Ф = π/6
∴ y = √3 sin π/6
∵ sin π/6 = 1/2
∴ y = √3 (1/2) = √3/2
* The y-coordinate of the point is √3/2
∴ The rectangular coordinates of the point are (3/2 , √3/2)
