y = -
x - ![\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D)
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, 1 ) and (x₂, y₂ ) = (2, - 5 )
m =
=
= - ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
the partial equation is
y = -
x + c
to find c substitute either of the 2 given points into the partial equation
using (- 6, 1 ), then
1 =
+ c ⇒ c = 1 -
= - ![\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D)
y = -
x -
← equation of line
Answer:
![\frac{2}{y+1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7By%2B1%7D)
Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
=
-
← subtract numerators leaving the common denominator
= ![\frac{2y+2-4}{(y-1)(y+1)}](https://tex.z-dn.net/?f=%5Cfrac%7B2y%2B2-4%7D%7B%28y-1%29%28y%2B1%29%7D)
= ![\frac{2y-2}{(y-1)(y+1)}](https://tex.z-dn.net/?f=%5Cfrac%7B2y-2%7D%7B%28y-1%29%28y%2B1%29%7D)
=
← cancel common factor (y - 1) on numerator/denominator
= ![\frac{2}{y+1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7By%2B1%7D)
Answer:3
Step-by-step explanation:
A. 2^4(4n) = 2^48
2^16n = 2^48
16n = 48
n = 3
The answer of Cubic root of 343 is 7