Answer:
y=-½x + 1
Step-by-step explanation:
1.) a perpendicular lines uses the opposite inverse of a line so the slope becomes -½x
2.) make an equation that looks as so:
y=-½x+b
the y intercept is unknown so it must be a variable.
3.) substitute the points you are given into the equation:
3=-½(4)+b
4.) solve for b
3=2+b
-2|-2
1=b
4.) place b into the equation
y=-½x + 1
Answer:
V = 36 in³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula V = l × w × h
Here our length is 
, our width is 4, and our height is 
Plugging in these values to our formula give us 
V = 36 in³
Answer:
2 * 10^-3 oz
Step-by-step explanation:
Given that:
Number of staples per box = 6 * 10^3
Weight of staple box = 12 oz
Weight per staple = (weight of staple box / number of staples per box)
Weight per staple = 12 / 6 * 10^3
Weight per staple = 12 / 6 * 1000
= 12 / 6000
= 0.002 oz
= 2 * 10^-3 oz
the cheap answer is simply
(x-5)(x²+4x-2)
we can simply multiply the terms on one by the terms of the other and then add like-terms and simplify.
![\bf (x-5)(x^2+4x-2)\implies \begin{array}{cllll} x^2+4x-2\\ \times x\\ \cline{1-1}\\ x^3+4x^2-2x \end{array}+ \begin{array}{cllll} x^2+4x-2\\ \times -5\\ \cline{1-1}\\ -5x^2-20x+10 \end{array} \\\\\\ x^3+4x^2-2x-5x^2-20x+10\implies x^3+4x^2-5x^2-2x-20x+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-22x+10~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%28x-5%29%28x%5E2%2B4x-2%29%5Cimplies%20%5Cbegin%7Barray%7D%7Bcllll%7D%20x%5E2%2B4x-2%5C%5C%20%5Ctimes%20x%5C%5C%20%5Ccline%7B1-1%7D%5C%5C%20x%5E3%2B4x%5E2-2x%20%5Cend%7Barray%7D%2B%20%5Cbegin%7Barray%7D%7Bcllll%7D%20x%5E2%2B4x-2%5C%5C%20%5Ctimes%20-5%5C%5C%20%5Ccline%7B1-1%7D%5C%5C%20-5x%5E2-20x%2B10%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5C%5C%20x%5E3%2B4x%5E2-2x-5x%5E2-20x%2B10%5Cimplies%20x%5E3%2B4x%5E2-5x%5E2-2x-20x%2B10%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20x%5E3-x%5E2-22x%2B10~%5Chfill)
