Answer:
![[11.5-(2.5*3)]^2=16](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2%3D16)
Step-by-step explanation:
We want to evaluate ![[11.5-(2.5*3)]^2](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2)
Let us evaluate within the parenthesis first:
![[11.5-(2.5*3)]^2=[11.5-(7.5)]^2](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2%3D%5B11.5-%287.5%29%5D%5E2)
![\implies [11.5-(2.5*3)]^2=[11.5-7.5]^2](https://tex.z-dn.net/?f=%5Cimplies%20%5B11.5-%282.5%2A3%29%5D%5E2%3D%5B11.5-7.5%5D%5E2)
We again subtract within the bracket to obtain:
![[11.5-(2.5*3)]^2=[4]^2](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2%3D%5B4%5D%5E2)
This finally gives us:
Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of 
in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle
Answer:
Step-by-step explanation:
Given points moves b/w 0.1 of 0.3 marks Hence amplitude is 0.2
Also , frequency (w) = 100 rad/s.
Natural frequency (wn) = √K/m
K = 20 N/mm x 1000mm/1m = 20000N/M
W = 1000mm/1m = 20,000N/M
FormulaX = FolK/1 - (w/wn)²
0.2 = b/20000/1 - (100/50)²
Given forcing frequency was doubled, W1 = 2 x 100=200rad/s
X1 =b/20,000/1 - (200/20)²
0.2/11 = 1 - (200/50)²/1 - (100/50)² = 0.2/11 = -15^5– 3
X1 = 0.04
Answer:
see below
Step-by-step explanation:
Vertical angles are formed by two lines and are opposite each other
Vertical angles are equal
In simple words you just find what is being added to each term in order to get the next term. Subtracting 17 by 12 you get 5, 22 minus 17 is 5 as well. Now that what is being added is found, you go by the last term given which is 27. You keep adding 5 to the number until you get to the 22nd term which would result in 117. If you would want to know the equation in order for it to be plugged in then you would use f(x)= 7+5x . You would want to use this equation instead of f(x)= 12+5x because putting 1 as x would make it equal to 17 which is NOT the first term but the second.
