Exponential because the data is not increasing at a constant rate
Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
Answer:
The first one is 36 i think and the second is 28 i think
Step-by-step explanation:
Area of the bottom triangle = 1/2 x 10 x 8.7 = 43.5 cm²
Area of the 3 rectangles = 3(10 x 6) = 180 cm²
Area of the top triangle = 3 (1/2 x10 x 4) = 60 cm²
Total surface are = 43.5 + 180 + 60 = 283.5 cm²
Answer: 283.5 cm²
