The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Answer:
The answer was graph 2
Step-by-step explanation:
I am horrible at explaining but this is the answer
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

<em>add 9 to both sides</em>
<em>divide both sides by 2</em>

Parallel lines have the same slope. Therefore we have the equation:

Put the coordinates of the point (4, -4) to the equation:


<em>subtract 14 from both sides</em>

Finally we have the equation:

Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
Answer:
Step-by-step explanation: