Answer:
19 m
Step-by-step explanation:
Perimeter = 2(length + width) ; P = 2(l+w) - - (1)
Area = Length * width ; A = l*w - - - (2)
76 = 2(l+w)
76/2 = l+w
l+w = 38
l = 38 - w
Put l = 38 - w in (1)
A = (38-w)*w
A = 38w - w²
At maximum point:
dA/dw = 0
dA/dw = 38 - 2w
38 - 2w = 0
38 = 2w
w = 38/2
w = 19
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 6 =
(x - 9) ← distribute the parenthesis
y + 6 =
x - 3 ← subtract 6 from both sides
y =
x - 9 ← in slope- intercept form
Answer: -5x+-10 using the distributive property
To answer this item, we let x and y be the amounts (in mL) of the red and the brown dyes, respectively. The equations that would allow us to answer the question are,
x + y < 200
x ≤ 2y
The values of x and y in the inequalities are therefore 133.33 mL and 66.67 mL.