Hi,
L = (1/6)x - 1
P = 2x + 2L = 2x + (2/6)x - 2
P= (7/3)x - 2
x being the width.
Hope this helps!
Since $14 is the price after a 30% discount then $14 is 70% of the original price.
$14/70=x/100 (100% would be the original price)
1400=70x or 1400/70 = $20!
You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!
Answer:
x=4
Step-by-step explanation:
Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
This involves quite a lot of arithmetic to do manually.
The first thing you do is to make the first number in row 2 = to 0.
This is done by R2 = -3/2 R1 + R2
so the matrix becomes
( 2 1 1) ( -3 )
( 0 -13/2 3/2) (1/2 )
(5 -1 2) (-2)
Next step is to make the 5 in row 5 = 0
then the -1 must become zero
You aim for the form
( 1 0 0) (x)
(0 1 0) (y)
(0 0 1) ( z)
x , y and z will be the required solutions.
