Answer:
ax + b= ax + b
Step-by-step explanation:
Infinite many solutions when both sides are equal
so
ax + b= ax + b
Answer:
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
, where 
and 
are the x - coordinates of both points and 
and are the y - coordinates of both points.
We now have the missing piece, the slope, so the equation now is:
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
Answer:
divided the two problems and then that would be your mi
Step-by-step explanation:
