This should be recognized as the difference of perfect squares which is of the form:
(a^2-b^2) and the difference of squares always factors to:
(a-b)(a+b) in this case:
(3x-8)(3x+8)
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)
X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)
8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5
Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
Answer:
V≈339.3
Step-by-step explanation:
Formula for volume of a cylinder is
V=πr2h
if you plug in the numbers you get V≈339.29
Answer is 7
Work
4C-8= 20
+8
4C=28
28/4=7
