Is -7x=2y-6 a direct proportion?
1 answer:
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Rewrite the limand as
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = (1 - sin(<em>x</em>)) / (cos²(<em>x</em>) / sin²(<em>x</em>))
… = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / cos²(<em>x</em>)
Recall the Pythagorean identity,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
Then
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / (1 - sin²(<em>x</em>))
Factorize the denominator; it's a difference of squares, so
1 - sin²(<em>x</em>) = (1 - sin(<em>x</em>)) (1 + sin(<em>x</em>))
Cancel the common factor of 1 - sin(<em>x</em>) in the numerator and denominator:
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = sin²(<em>x</em>) / (1 + sin(<em>x</em>))
Now the limand is continuous at <em>x</em> = <em>π</em>/2, so
Answer:
Using the slope formula with points (0,-1) and (-4,4)
Step-by-step explanation:
Step 1: find the points, (0,-1) and (-4,4)
Step 2: Insert plot points into <em>Slope formula: (tip: M means slope)</em>
m(slope)= -> m(slope)=
Step 3: <em>Solve:</em>
m(slope)=
Answer:
Slope is
or m =
OR (if your teacher wants the answer in decimal form rounded to the nearest 10th.) m = -1.3
