S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
9 chairs;
there would have to be nine chairs at a table for it to have the most chairs because in this case, even if the remaining 7 chairs were all located at one of the other tables, then the table with the 9 chairs would still have the most chairs.
Ok so solve
2/3 times x^2=24
m ultply both sides by 3/2 to clear fraction
x^2=36
x=-6 or 6
-6<6
answer is x=-6 is smalles solution
197/pi(3.1416)=62.70(diameter)
Radius=62.70/2
R=31.35
Area=3.1416x(31.35)^2
Area=3087.63
