Answer:
x= 1/4 .....................
y=-1
Step-by-step explanation:
no they are not parallel
Step-by-step explanation:
<h3> a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )</h3>
[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
<h3> b) 400 ÷ { 40 – (-2) -3 – ( -1)} </h3>
{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
<h3>c) 40 x -23 + 40 x -17 </h3>
(40 x 23) + (40 x -17)
920 + (-680)
= 240
<h3>d) 1673 x 99 – (-1673) </h3>
(1673 x 99) + 1673
1673 x 100
= 167300
<h3>e) 490 x 98 = 48020</h3>
Hope this helps ^-^
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
