Answer:
Step-by-step explanation:
| Given
| Distribute the 2 inside the parentheses
| Add 10 to both sides
| Add. <em>Optional; not included in your question.</em>
<em /><em> </em>| Divide by 2 on both sides.
<em />
6,135.9 is the correct answer
Answer:
Step-by-step explanation:
can go into 
twice at the most, so doubling will give us 
, which leaves us with 
left over to reach 315, which is why is the numerator. The remainder is ALWAYS the numerator.
I am joyous to assist you anytime.
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
The function in vertex form is
(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is
, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.
