The limit (as 'x' approaches zero) of x²/(2x+1) is
0 / (0+1) = 0 .
You get this by substituting the limit in place of 'x'.
Sometimes that doesn't work. Sometimes it gives you
monstrosities like 0/0, or 1/0, or ∞/∞ .
But it works for this one. There's nothing wrong with 0/1 = zero .
It's 6/10 because 60/100 is just a longer version of 6/10
Answer: 106 km/h,2.5 hr
Step-by-step explanation:
Given
The train travels 315 km in the same time car travels 265 km
The average speed of the train is 20 kmph faster than car
Suppose, speed of the car is v and it travels 265 km in t hours
Time taken to travel is
“Just follow your heart to find the answer” -someone
Answer:
PR = 7.99 cm (2 dp)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
- a = PR
- b = PQ = 12.1 cm
- c = RQ = 14.5 cm
Substituting the given values into the formula;:
⇒ a² + b² = c²
⇒ PR² + 12.1² = 14.5²
⇒ PR² + 146.41 = 210.25
⇒ PR² = 210.25 - 146.41
⇒ PR² = 63.84
⇒ PR = ±√(63.84)
⇒ PR = ±7.99 (2 dp)
As distance is positive, PR = 7.99 cm (2 dp) only
