Answer:
See below
Step-by-step explanation:
In the second step there should be (1 - cot x) instead of (1 + cot x)
(1 + tan x) [1 + cot(-x)]
= (1 + tan x) (1 - cot x)
= 1 - cot x + tan x - tan x cot x
= 1 - cot x + tan x - 1
= tan x - cot x
There is not a gcf because one is odd and the other even
Answer:
The strip of 16 by 14 inches.
Let x be the corner of the square cut
Then the box would have height as x, length 16-2x and width 14-2x
Hence volume =
Use derivative to test to find x for maximum volume
V'(x) =
v"(x) =
Equate first derivative to 0
Solutions are
x= 2.483 and x = 7.517
Practically cutting more than 7 inches is not possible from 14 inches dimention
Hence 2.483 is the side of square and maximum volume
= 247.508
Step-by-step explanation:
Hope this helps!
Answer
Simplifying
9x + -7i = 3(3x + -7u)
Reorder the terms:
-7i + 9x = 3(3x + -7u)
Reorder the terms:
-7i + 9x = 3(-7u + 3x)
-7i + 9x = (-7u * 3 + 3x * 3)
-7i + 9x = (-21u + 9x)
Add '-9x' to each side of the equation.
-7i + 9x + -9x = -21u + 9x + -9x
Combine like terms: 9x + -9x = 0
-7i + 0 = -21u + 9x + -9x
-7i = -21u + 9x + -9x
Combine like terms: 9x + -9x = 0
-7i = -21u + 0
-7i = -21u
Solving
-7i = -21u
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Divide each side by '-7'.
i = 3u
Simplifying
i = 3u
When the reference point is used in the point-slope form of the equation, the equation should evaluate to ...
... 0 = 0
This is only true for point (-16, 8) using the equation of selection a).
Happily, we also find that point (4, -2) satisfies the equation.
... -2-8 = -1/2(4+16)
... -10 = -1/2(20) . . . . true
The appropriate choice is ...
... a.) y-8 = -1/2(x+16)
