Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:
where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
The simplified version of this expression is 110g^4h^16v^6. first, remove the parenthesis. the expression becomes 10g^3h^8v^6 times 11gh^8. then, calculate the product.
Step-by-step explanation:
apply distance formula
distance = ±√(4--3)^2 + (3--2)^2 = ±√74 (rej - value since distance > 0)
Topic: coordinate geometry
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Answer: y= -2 - 1/2
Step-by-step explanation:
-4x -2y = 1
+4x +4x
-2y = 4x + 1
/-2 /-2 /-2
y= -2 - 1/2
I think, i may be incorrect but the verbal explanation is; -4x is needed to be moved so you add 4x to both sides and 4x cancels out on the left which leaves -2y on the left (when it was moved "x" is always first). then divide all numbers by -2 to get y by itself. this gives you y= -2 - 1/2 if my calculations are correct.
Answer:
18.
Step-by-step explanation:
1) formula of the perimeter given in the condition is:
p=2(VW+XV) or p=2(VY+XY).
Note, VW=XY and XV=VY;
2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then
2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.
3) if z=8, then VW=2z+2=2*8+2=18.
