Slope of a line can be determined using this formula
m = (y₂ - y₁) / (x₂ - x₁)
From the question, we know that
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
plug the numbers into the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - (-3)) / (2 - 2)
m = (9 + 3) / (2 - 2)
m = 12/0
m = undefined
The pairs must form a vertical line
Context ? i need more info.
Answer:
cubic units
Step-by-step explanation:
Given is a function exponential as

The region bounded by the above curve, y =0 , x =13 is rotated about x axis.
the intersection point is at x=4
The limits for x are 4 and 13
The volume when rotated through x axis is found by

Here a = 4 and b =13
volume = 
=
.cubic units
well, let's say that the first solution is 7 liters and has "x" percent of acid, how much acid total in it? well, 7x, <u>keeping in mind that "x" is a decimal form</u>.
likewise, the second solution is 3 liters and has 15% acid, so how much acid is there in that one? (15/100) * 3 = 0.45, so
![\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&7&x&7x\\ \textit{2nd solution}&3&0.15&0.45\\ \cline{2-4}&\\ mixture&10&0.29&2.9 \end{array}~\hfill \implies 7x~~ + ~~0.45~~ = ~~2.9 \\\\[-0.35em] ~\dotfill\\\\ 7x=2.45\implies x=\cfrac{2.45}{7}\implies x=0.35~\hfill \stackrel{\textit{converting to \%}}{0.35\cdot 100}\implies \stackrel{\%}{35}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blcccl%7D%20%26%5Cstackrel%7Bsolution%7D%7Bquantity%7D%26%5Cstackrel%7B%5Ctextit%7B%5C%25%20of%20%7D%7D%7Bamount%7D%26%5Cstackrel%7B%5Ctextit%7Bliters%20of%20%7D%7D%7Bamount%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20%5Ctextit%7B1st%20solution%7D%267%26x%267x%5C%5C%20%5Ctextit%7B2nd%20solution%7D%263%260.15%260.45%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20mixture%2610%260.29%262.9%20%5Cend%7Barray%7D~%5Chfill%20%5Cimplies%207x~~%20%2B%20~~0.45~~%20%3D%20~~2.9%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%207x%3D2.45%5Cimplies%20x%3D%5Ccfrac%7B2.45%7D%7B7%7D%5Cimplies%20x%3D0.35~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bconverting%20to%20%5C%25%7D%7D%7B0.35%5Ccdot%20100%7D%5Cimplies%20%5Cstackrel%7B%5C%25%7D%7B35%7D)
Answer:
Step-by-step explanation:
now i dont know if you know how to do this or anything but i will tell you a way to that you will always remember how to do it the mean is where you have to add evrything up and divide it by the amount of numbers always said its mean that they make you add up all the numbers and have to divide it and your meanis messed up it is actually 291