Answer:
5x + y - 4 = 0
Step-by-step explanation:
When we are given two points and are asked to find the equation of the line we use the two - point form.
Two - point form:
.
where:
and
are the two points on the line.
Given the two points are: (5,21) and (-5,-29).
Substituting in the two point form:
⇒ ![$ \frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7By%20-%2021%7D%7B-29%20-%2021%7D%20%3D%20%5Cfrac%7Bx%20-%205%7D%7B-5%20-5%7D%20%24)
![$ \implies \frac{y - 21}{-50} = \frac{x - 5}{-10} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20%5Cfrac%7By%20-%2021%7D%7B-50%7D%20%3D%20%5Cfrac%7Bx%20-%205%7D%7B-10%7D%20%24)
![$ \implies y - 21 = 5x - 25 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20y%20-%2021%20%3D%205x%20-%2025%20%24)
⇒ 5x + y - 4 = 0
f(x) = 64x³ - 125
Multiply each term in the second factor by each term in the first factor
= 4x(16x² + 20x + 25) - 5(16x² + 20 x + 25)
=64x³ + 80x² + 100x - 80x² - 100x - 125
= 64x³ - 125 ← difference of cubes
Answer:
Step-by-step explanation:
7(p-6)=8p-34
Distribute 7 into the parentheses on the Left Hand Side of the equation
7p-42=8p-34
get p together, so minus 7p on both sides
7p-7p-42=8p-7p-34
7p and -7p cancel out on L.H.S
-42=p-34
isolate p by adding 34 to both sides
-42+34=p-34+34
-34 and postitive 34 cancel out on the R.H.S
p=-8
Hope this helps! :)
56 ounces are 3.5 pounds because 16 ounces are 1 pound and if you divide 56 by 16 you get 3.5