<span>For the answer to this question,
Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area
A = depth x width
</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:
x = -b/(2a)
x = -18/(2x(-2))
x = 4.5 inches is the depth for max area
</span><span>Max area: 4.5 * 9 = 40.5 sq/in
I hope my answer helped you.</span>
Answer:
y= -2x
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
subst. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a coordinate.
When x= -4, y=8,
8= -2(-4) +c
8= 8 +c (expand)
c= 8-8 (-8 on both sides)
c=0 (simplify)
Thus, the equation of the line is y= -2x.
The area of a square is S^2 with S as one side. To find the length of the side, simply work the formula backwards. The square root of 400 is 20. Hope this helps! :)
Answer:
170 = 60x + 50 (let x be number of appointments)
Step-by-step explanation:
because the total is 170, it goes behind the equal sign. $50 in tip is added to the amount of appointments so it goes on the other side of the 170. the $60 per appointment goes on the 50's side
Answer:
(f+g)(x) = 3x² + (3/2)X - 9
Step-by-step explanation:
f(x) = 1/2*x - 3
g(x) = 3x²+x-6
then (f+g)(x) i f(x) + g(x)
1/2*x - 3 + 3x²+x-6
3x² + 1.5X - 9
3x² + (3/2)X - 9
