Answer:
b = -6.5
Step-by-step explanation:
92 - 16b = 12
now you want to get the number(s) and variables on different sides
92 - 16b - 92 = -16b
12 + 92 = 104
-16b = 104
now divide each side by -16
-16b / -16 = b
104 / -16 = -6.5
b = -6.5
Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2
Now, P'(x) = 0 ⇒ x = 12
Also,
P''(12) = -2 < 0
So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12
So, In short that numbers would be 12,12
Hope this helps!
Answer:
slope = - 3
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 )
y = 
x - 2 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3
