W^2+5w-66=0
Factor
(w+11)(w-6)=0
w+11=0
w=-11 (not possible - cant have negative length
w-6=0
w=6
L(6)=66
L=11
Width = 6
Length = 11
1) slope of the line = derivative of the of the function at the given point.
y' = cosx - x cosx
Evaluate for x = pi => y' = cos(pi) - pi*cos(pi) = -1 - (pi*cos(pi)) = -1 + pi
Then slope = -1 + pi
Given point: (pi, -pi)
Equation:
y - (-pi) = [-1+ pi] (x - pi)
y + pi = -x +pi + xpi -pi^2
y = (pi-1)x - pi^2 .... this is the answer
Answer:
x = 25
Step-by-step explanation:
The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
This means that
3x - 10 = 25 + (x+15)
3x - 10 = x + 40
Subtract x from both sides of the equation.
2x - 10 = 40
Add 10 to both sides.
2x = 50
Divide both sides by 2.
x = 25
Answer:
328.5 cm
Step-by-step explanation:
Volume= L x W x H
10 x 4.5 x 7.3= 328.5
:))
