True, this is a Pythagorean identity.
Answer:
Option c. 104 people
Step-by-step explanation:
For 1 desk : 4 people
For 2 desks: 6 people
For 3 desks: 8 people
<em>For 51 desks: </em>
<em>We can see the pattern in the number of people that can be seated on the tables. </em>
Using arithmetic series: 4,6,8,....
a(n) = a1 + (n-1)d
n = 51
d = a2 - a1 = 6 - 4 = 2
a(51) = 4 + (51 - 1) 2
= 4 + (50)2
= 4 + 100
= 104
Answer:
2/3
Step-by-step explanation:
Let's define z = x-y, so solving for z will tell us exactly what we want to know. Then we can substitute for x: x = z+y, and our equations become ...
7(z+y)+3y = 8 ⇒ 7z +10y = 8
6(z+y)-3y = 5 ⇒ 6z +3y = 5
We can eliminate the y-variable by subtracting 3 times the first equation from 10 times the second:
10(6z +3y) -3(7z +10y) = 10(5) -3(8)
60z +30y -21z -30y = 50 -24 . . . . eliminate parentheses
39z = 26 . . . . collect terms
z = 26/39 = 2/3 . . . . . divide by the coefficient of z and reduce
The value of x - y is 2/3.
_____
The attached graph shows (x, y) = (1, 1/3), so x - y = 1 - 1/3 = 2/3.
Answer:
The number of ways is
Step-by-step explanation:
From the question we are told that
The number of factories visited is
The number of factories to be visited by a representative r = 5
The number of way to visit the 5 factories is mathematically represented as
Where P represents permutation
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=>
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Answer: all of the sides are 10ft long
Step-by-step explanation: