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 .
The hypotenuse should not be counted while finding the area of a triangle. The formula for the area of a triangle is 0.5bh. The Pythagorean theorem is a^2+b^2=c^2. The legs represent a and b, while the hypotenuse represents c.
Answer:
2, 7, 114
Step-by-step explanation:
(3 + 0.5x)(38 - 4x)
114 + 19x - 12x - 2x²
-2x² + 7x + 114
Combine like terms:
7x-2x= 5x
-10+24= +14
Answer: 5x+14