9514 1404 393
Answer:
y = -x +3
Step-by-step explanation:
The point-slope form can be a useful place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You require the line ...
y -(-4) = -1(x -7)
y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4
y = -x +3 . . . . . . . . . slope-intercept form
The x-axis will be shifted 2 times towards the left and the y-axis 6 times up
Answer:
8 : 24 P.M
Step-by-step explanation:
Data provided in the question:
On December 1 bright star Procyon will just be rising on the eastern horizon at 10 P.M
Now,
we know that Stars rise 4 minutes earlier each night
Therefore,
24 days later i.e after 24 nights the total early time
= 24 days × 4 minutes per day
= 96 minutes
or
= 1 hour 36 minutes early
Hence,
on Christmas Day the star will rise at 1 hour 36 minutes early than 10 P.M
= 8 : 24 P.M
To find the approximate volume of the volcano, you will use the formula for finding the volume of a cone.
V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 8^2 x 1.95
V = 130.624
The approximate volume of the volcano is 131 cubic kilometers.