Answer:
84 possible paths
Step-by-step explanation:
Given
--- 3 blocks north
--- 6 blocks east
Required
Number of distinct path
To solve this question, we make use of the following formula
The above formula implies that;
On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.
In this case:
So, we have:
Apply combination formula
Expand the numerator
Expand the denominator
<em>Hence, there are 84 possible paths</em>
<em></em>
<em> will also give the same result</em>
The given curve is y = 5x -4, -1 ≤ x ≤ 3.
The length of the arc is computed from the formula
The derivative is
y' = 5
Therefore
Note that
x = -1 +> y = 5(-1) - 4 = -9
x = 3 => y = 5(3) - 4 = 11
The distance between the points (-1, -9) and (3, 11) from the distance formula is
D = √[(3-(-1))² + (11-(-9))²] = √(16+400) = 20.396
This answer agrees with that obtained by integration.
Answer: 20.396
Obtained by integration and verified by the distance formula.
To solve this, multiply the fractions by each other.
7/8*4/5
7*4=28
8*5=40
28/40
"B" would be the correct answer but, it the fraction should be reduced to 7/10.
Answer:
x = 8.5
Step-by-step explanation:
4x-5=9+20 (evaluate right side)
4x - 5 = 29 (add 5 to both sides)
4x = 29 + 5
4x = 34 (divide both sides by 4)
x = 34/4
x = 8.5
