C. we multiply the equation by 3
Answer:
BC = 26
Step-by-step explanation:
since B is the midpoint of AC, then AB = BC
AC = 8x - 20 & AB = 3x - 1
AC = AB + BC or 2AB
8x - 20 = 2(3x - 1)
8x - 20 = 6x - 2
subtract 6x form each side
2x - 20 = -2
add 20 to each side
2x - 20 + 20 = -2 + 20
2x = 18
x = 9
BC = 3x - 1
BC = 27 - 1
BC = 26
AC = 52
I wonder if you mean to write
in place of
...
If you meant what you wrote, then we have


If you meant to write
(the cube root of 256), then we could go on to have
![\sqrt[3]{256}=\sqrt[3]{16^2}=\sqrt[3]{(4^2)^2}=\sqrt[3]{4^4}=\sqrt[3]{4^3\cdot4}=4\sqrt[3]4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256%7D%3D%5Csqrt%5B3%5D%7B16%5E2%7D%3D%5Csqrt%5B3%5D%7B%284%5E2%29%5E2%7D%3D%5Csqrt%5B3%5D%7B4%5E4%7D%3D%5Csqrt%5B3%5D%7B4%5E3%5Ccdot4%7D%3D4%5Csqrt%5B3%5D4)
slope (m ) =
, y - 1 =
( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) =
= 
equation in point- slope form using m =
and (a,b )= (2 , 1)
y - 1 =
( x - 2)