How many real fifth roots does - 1,024 have?
1 answer:
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I)
The Midpoint M of the line segment AB is found using the Midpoint formula:
ii)
the slope of the line through A and B is found by the slope formula:
iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
The Midpoint M of the line segment AB is found using the Midpoint formula:
ii)
the slope of the line through A and B is found by the slope formula:
iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
<h3>Answer: 8/17</h3>
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Explanation:
The rule is
If A+C = 90, then sin(A) = cos(C). We could also say cos(A) = sin(C).
I recommend drawing out the picture of what's going on. See below.
sin(A) = 8/17 has the opposite side 8 over hypotenuse 17.
cos(C) = 8/17 has 8 as the adjacent side now. The hypotenuse stays the same.
So that's why sin(A) = cos(C).