Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
Answer:
I'm doing the same thing on my math apeeeeex right now .I wish someone would answer me .
<span>x=8+1/3.33333333333
hope this helped</span>
The diagonals of a rhombus are always perpendicular.
Answer:
slope = -1/3
y-intercept = 4
x-intercept = 12
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
----------------------
rearrange into slope intercept form
1.5x + 4.5y = 18
subtract 1.5x from both sides
4.5y = -1.5x + 18
Divide both sides by 4.5
y = (-1/3)x + 4
------------------------
Slope
m = -1/3
---------------------
y-intecept
b = 4
---------------------
x intercept
this is where y = 0
0= (-1/3)x + 4
add (1/3)x to both sides
(1/3)x = 4
Multiply both sides by 3
x = 12