Answer: 5 x 15= 75
Step-by-step explanation:
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
Answer:
Step-by-step explanation:
A = 2(½(20)(15)) + 16(15 + 20 + 25) = 1,260 in²
Answer:
(2.5, 4 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then midpoint is
[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Given
(0, 1) and (5, 7), then
midpoint = [ 0.5(0 + 5), 0.5(1 + 7) ] = (0.5(5), 0.5(8)) = (2.5, 4)
