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Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
The distance between two (4, 6) and (5, 0) is 6.08 units.
Solution:
The given points are (4, 6) and (5, 0).
<u>To find the distance between two points:</u>
Distance formula:
The value of 1² = 1
The value of (–6)² = 36
d = 6.08
The distance between two (4, 6) and (5, 0) is 6.08 units.