Answer:
F(0) = 0
F(1) = 3
F(2) = 2 x F(1) + F(0) = 2 x 3 + 0 = 6
F(3) = 3 x F(2) + F(1) = 3 x 6 + 3 = 21
F(4) = 4 x F(3) + F(2) = 4 x 21 + 6 =90
F(5) = 5 x F(4) + F(3) = 5 x 90 + 21 = 471
Hope this helps!
:)
Answer:
__2_sides of equal length
__2_acute angels
__0_right angle(s)
_1__obtuse angle
The triangle is _isosceles____and_obtuse____.
Step-by-step explanation:
if this is the right triangle the longest side will be √162≈ 12.7
the longest side is 15 so the vertex angle is obtuse
Add the last two equations to eliminate <em>x</em> :
(<em>x</em> - 2<em>y</em> - 3<em>z</em>) + (- <em>x</em> + <em>y</em> + 2<em>z</em>) = 0 + 3
- <em>y</em> - <em>z</em> = 3
<em>y</em> + <em>z</em> = -3
Subtract this from the first equation to eliminate <em>z</em>, then solve for <em>y</em> :
(2<em>y</em> + <em>z</em>) - (<em>y</em> + <em>z</em>) = -8 - (-3)
<em>y</em> = -5
Plug this into the first equation to solve for <em>z</em> :
2(-5) + <em>z</em> = -8
<em>z</em> = 2
Plug both of these into either the second or third equations to solve for <em>x</em> :
<em>x</em> - 2(-5) - 3(2) = 0
<em>x</em> = -4
Parallel lines has equal slopes.
Equation of the line 2x + y + 1 = 0 in slope intercept form is y = -2x - 1 with slope of -2. Therefore, the slope is -2.
This is a proportion problem because the problem stated that the two team pennants are similar.
Pennant 1 = base = 18 in ; length = 9 inches
Pennant 2 = base = 6 in ; length = x ?
9/18 = x/6
9*6 = 18x
54 = 18x
54/18 = x
3 = x
The length of the side of the smaller pennant is 3 inches.
