Answer:
3 miles
Step-by-step explanation:
to find the amount of miles it is to the library you have to find how many miles it is when the minutes are zero
so when x = 0 what is y
0 + 7y = 21
7y = 21
y is 3
so that means the library is 3 miles away from his house
Answer:
s = height above ground
s = 60 + 20 t - 4.9 t^2 (standard physics equation on earth)
at t = 0
s = 60 (clearly :)
now when does it hit the bleak earth?
That is when s = 0
4.9 t^2 - 20 t -60 = 0
solve quadratic and use the positive t (the negative t was back before you threw it if you had thrown it from the ground)
t = 6.09 or - 2.01
use t = 6.09
now to do the last part there are two obvious ways to get t at the peak
1. look for vertex of parabola
2. look for halfway between t = -2.01 and t = 6.09
I will do it the hard (11) waay by completing the square
4.9 t^2 - 20 t = -(s-60)
t^2 - 4.08 t = -.204 s + 12.2
t^2 - 4.08 t +2.04^2 = -.204 s +12.2 + 4.16
(t-2.04)^2 = -.204(s-80.2)
so
top at 80.2 meters at t = 2.04 s
===============
quick check on time
should be average of 6.09 and -2.01
=4.08 /2 = 2.04 check
6 total letters, 3 vowels. 3/6, or 1/2.
Answer:
C
Step-by-step explanation:
(3.6xy^5)(2.5x^2y^-2)
9x^3y^3
Answer:
The same (42 degrees)
Step-by-step explanation:
This is because the angles are congruent or the same.