If the coefficient of x^2 is negative, the graph will be n shaped and curve down instead of like a u shape if it was positive. If the vertex is below the x axis and curves down, it won’t pass the x axis, Tia is right.
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15
speed = distance/time
distance = speed * time
366 = (2s + 15) * 2
183 = 2s + 15
168 = 2s
s = 84
The slower bus travels at 84 km/h.
s + 15 = 84 + 15 = 99
The faster bus travels at 99 km/h.
Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
x2 - 12x - 12 = 0
(x - 6)2 - 48 = 0
(x - 6)2 = 48
Hence, the answer is (B).
Answer:
x = 42.5
Step-by-step explanation:
It is said:
If two angles are not corresponding, then they make up 180°. They are more known as supplementary angles.
So the equation is:
a + b = 180°
Substitute
x + 8 + 3 x + 2 = 180°
x + 3x + 8 + 2 = 180°
4x + 10° = 180°
4x = 180° - 10°
4x = 170°
x = 170° ÷ 4
x = 42.5
