v = P2 - P1 = < (-9) - (-1), (-5) - (2) > = < -8, -7 > = -8i - 7j
12.7=3.14/p rearrange as
p = 3.14 / 12.7
p ≈ .247
Decreasing 1.2% per month means that the next month's unemplyment rate is 100 - 1.2 = 98.8 % of the previous month = .988
So eleven months elapse between January and December......so....December's rate =
8 (.988)^11 ≈ .7 %
x' = xcos (theta) - ysin(theta)
y' = xsin (theta) + ycos(theta)
So
F = (1,5) → F' = ( 1cos(180) - 5sin(180) , 1sin(180) + 5cos(180) ) = ( -1, -5 )
G = (4, -3) → G' = ( 4cos(180) - -3sin(180) , 4sin(180) + -3cos(180) ) = ( -4, 3 )
(b) is correct
3 left and 2 down
A = (5,4) A' = ( 5 - 3 , 4 - 2) = ( 2, 2)
B = (-3, - 2) B' = ( -3 - 3, -2 - 2) = (-6, - 4)
d is correct
Reflecting DF across the x axis will just change the sign on the y coordinate...so
D = ( -4, -3) → D' = ( -4, 3)
F = (-2, 4) → F' = ( -2, -4)
(d) is correct
Here is a nice explanation : http://www.basic-mathematics.com/surface-area-of-a-sphere.html
Thanks, coolioandepic........that's very helpful....!!!!
Use the method of Undetermined Coefficients ...let us guess that the solution has the form
y = Ax + B
Then
y' = A and y'' = 0
y" - 10y' + 25y = 30x + 3
0 - 10(A) + 25(Ax + B) = 30x + 3
-10A + 25Ax + 25B = 30x + 3 equate coefficients
25A = 30 → A = 6/5
(-10A + 25B) = 3 → -10(6/5) + 25B = 3 → -12 + 25B = 3 → 25B = 15 → B = 3/5
Then the solution is
y = (6/5)x + 3/5
AMEN !!!
