The slope of the line is -23
<h3>How to determine the
slope of the
line?</h3>
The line’s equation is given in point-slope form:
y − 6 = (−23)(x + 6)
The line’s equation in point-slope is represented as:
y − y1 = m(x - x1)
Where
m represents the slope
By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have
m = -23
Hence. the slope of the line is -23
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Answer:
Below in bold.
Step-by-step explanation:
a. Distance = speed * time
d = st
So substituting in the given values:
d = 9t where t is the time it takes to travel from the hive to the flowerbed.
The total time that the bee is inflight = 19 - 16 = 3 minutes
= 180 seconds.
So for the return flight the time taken is (180-t) seconds.
So d = 6(180 - t).
and we can find the distance from the hive to flowerbed by solving the the 2 equations highlighted.
b, d = 9t
d = 6(180 - t).
Therefore:
9t = 6(180 - t)
9t = 1080 - 6t
9t + 6t = 1080
15t = 1080
t = 72 seconds
So Distance d = 9*72
= 648 ft.
c. d = 9t.
Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent.
Subtract 4 from both sides of the equation. It looks familiar now right? (y=mx+b is a linear equation)
