Horizontal asymptotes?
2 answers:
<h3>Answer: Choice A) y = 2</h3>
How I got that answer:
The degrees of both the numerator and denominator polynomial are both 2
Degree of 10x^2 is 2
Degree of 5x^2+1 is 2
Because the degrees are equal, this means we divide the leading coefficients 10 and 5 to get 10/5 = 2.
As x gets really really large, in either positive or negative direction, then y is slowly going to approach y = 2.
A graph helps confirm this. See below. I used GeoGebra to make the graph.
It looks like it actually gets to y = 2, but in reality its just getting really really close that it gives that illusion.
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Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²