The slope will be the difference between the y-coordinates divided by the difference between the x-coordinates:
then the slope of the line is:
Answer:
112
Step-by-step explanation:
The volume is given by l*b*h=4*4*7=112
Answer:
40
Step-by-step explanation:
Plug in 12 for u, 7 for x, and 4 for y in the given expression:
u + xy = 12 + (7)(4)
Remember to follow PEMDAS. First, multiply, and then add:
u + xy = 12 + (7 * 4) = 12 + (28) = 40
40 is your answer.
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(√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:
looks like a nazi symbol
Step-by-step explanation:
