Answer:
Ginny made a mistake in step 1 when she identified b = 31. It should be b=-31
Step-by-step explanation:
Ginny factored 
as shown:
ac = –180 and
b = 31
36(–5) = –180 and 36 + (–5) = 31
+ 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
b is the coefficient of x and from the trinomial , b=-31.
Therefore Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
The correct steps are: :
ac = –180 and
b = -31
36(–5) = –180 and -36+5 = -31
Answer:
1,3,4,5,6,10,11,14,16,17,18,20
Step-by-step explanation:
I've been there so many times. Hope you have a great day!
Assuming linear.
if k is at (3,4) and j is at (-8,7)
set. (y1,x1) and(y2,x2)
[(y2-y1),(x2-x1)]
[(-8-3),(7-4)]
distance from k to j is (-11,3)
now take coordinates of j and distance from. k->j and add them to get coordinate for L
[(-11+(-8)),(7+3)]= (-19,10)=L
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times 
, which means 
- in turn, is 5 times
, so we have 
. This means that 
- Finally,
So, substituting this back gives
In general, since you have 
, each time you compute a new term you multiply by a factor of 5, so if 
, you have
Answer:
252m^3
Step-by-step explanation:
A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:
V = AxH
V - volume
A- area
H - height of prism
We know that:
h = 4 m (side of base)
b = 14 (other base side)
A = bh/2 = 14x4/2 = 28 m^2
And then: V = A x H = 28 x 9 = 252 m^3
