The answer in slope intercept form is y = 6x-11
If you want the answer in standard form, then it would be 6x-y =11
notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
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Explanation:
The given slope is m = 6
The line goes through (x,y) = (3,7)
Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11
So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11
The answer in slope intercept form is y = 6x-11
To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side
y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11
The answer in standard form is
6x-y = 11
which is a different way to write the same line
Answer:
972π cm³
Step-by-step explanation:
Okay so this container is a sphere, so you're going to want to use the volume of a sphere equation V = (4/3) * π * r³. In this case, you've got the diameter (d = 18), so divide by 2 to get r = 9.
So now you have all the variables you need to solve. Substituting those values into the volume equation, you get:
V = (4/3) * π * 9³ = 972π cm³.
Answer:
y = 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = , thus
y = x + c ← is the partial equation
To find c substitute (- 2, 3) into the partial equation
3 = - 
+ c ⇒ c = 3 + =
y = x + ← equation of line
if B is the midpoint of AC, that means that B cuts AC in two equal halves, namely that AB and BC are identical twins.
![\bf \boxed{A}\stackrel{4x - 2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{2x+4}{\rule[0.35em]{10em}{0.25pt}}\boxed{C} \\\\\\ 4x - 2 = 2x + 4\implies 2x-2=4\implies 2x = 6\implies x=\cfrac{6}{2}\implies x = 3 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{AB~=~BC}{4(3)-2= \underline{10}}~\hfill \stackrel{AC = AB+BC}{\underline{10}+\underline{10}=20}](https://tex.z-dn.net/?f=%5Cbf%20%5Cboxed%7BA%7D%5Cstackrel%7B4x%20-%202%7D%7B%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%7D%20B%5Cstackrel%7B2x%2B4%7D%7B%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%7D%5Cboxed%7BC%7D%20%5C%5C%5C%5C%5C%5C%204x%20-%202%20%3D%202x%20%2B%204%5Cimplies%202x-2%3D4%5Cimplies%202x%20%3D%206%5Cimplies%20x%3D%5Ccfrac%7B6%7D%7B2%7D%5Cimplies%20x%20%3D%203%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BAB~%3D~BC%7D%7B4%283%29-2%3D%20%5Cunderline%7B10%7D%7D~%5Chfill%20%5Cstackrel%7BAC%20%3D%20AB%2BBC%7D%7B%5Cunderline%7B10%7D%2B%5Cunderline%7B10%7D%3D20%7D)
