Let
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3
substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=15.026 m
c=2*y-----> c=2*15.026----> c=30.052 m
the answer is30.05 m
(11k^4 - 4m) + (-2k^4 - 15m)
Add -2k^4 to 11k^4. This would be the same as subtracting 2k^4 from 11k^4
9k^4 - 4m - 15m
Add -15m to -4m. This would be the same as subtracting 15m from -4m
Final Answer: 9k^4 - 19m
Word Form: Nine times the variable k to the forth power minus nineteen times the variable m.
Answer:
B and A
Step-by-step explanation:
Short Answer: A
Remark
C
Let's start with the false choices.
If they were colinear, then if AB + BC would = 5 or 1 depending on the location of C. Answer C is not correct.
B
a b and c do not form a right triangle. a^2 + b^2 ≠ c^2
2^2 + 3^2 = 13 not 16 (which is what c^2 or 4^2 = )
D
D is false. Equilateral triangles have 3 equal sides.
A is true. Since A and C are opposites and you have eliminated C by arguing A. Then A must be the answer.
Yes, they are. A square has the same measurement for all four sides. Unlike a parallelogram which is slanted and uneven.