Horizontal assemtote
when the degrees of top and bottom are same, divide the highest powered coefients
10x^2 and 5x^2+1
both 2nd degree
10/5=2
horizontal assemtote at y=2
Answer:
14
Step-by-step explanation:
Triangle is a 45 45 90 right triangle
Ratio of leg : hypotenuse = x : x√2
Given leg = 7√2
so hypotenuse x = 7√2 * √2 = 14
Answer:
A=6 and B=4.5
Step-by-step explanation:
You are given table
![\begin{array}{cccccc}x&2&4&[A]&7&9\\y&1&2&3&3.5&[B]\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccccc%7Dx%262%264%26%5BA%5D%267%269%5C%5Cy%261%262%263%263.5%26%5BB%5D%5Cend%7Barray%7D)
If the paired values are in a proportional relationship, then
![\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{[A]}{3}=\dfrac{7}{3.5}=\dfrac{9}{[B]}.](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B1%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D%5Cdfrac%7B%5BA%5D%7D%7B3%7D%3D%5Cdfrac%7B7%7D%7B3.5%7D%3D%5Cdfrac%7B9%7D%7B%5BB%5D%7D.)
Note that
then
![\dfrac{[A]}{3}=2\Rightarrow [A]=6,\\ \\\dfrac{9}{[B]}=2\Rightarrow [B]=\dfrac{9}{2}=4.5.](https://tex.z-dn.net/?f=%5Cdfrac%7B%5BA%5D%7D%7B3%7D%3D2%5CRightarrow%20%5BA%5D%3D6%2C%5C%5C%20%5C%5C%5Cdfrac%7B9%7D%7B%5BB%5D%7D%3D2%5CRightarrow%20%5BB%5D%3D%5Cdfrac%7B9%7D%7B2%7D%3D4.5.)
Answer:
1/25
Step-by-step explanation:
f(x)=5^x
Let x = -2
f(-2)=5^-2
We know that a^-b = 1/a^b
= 1/5^2
= 1/25
