Answer: 42.8°F
Step-by-step explanation: 6°C is 42.8°F
Given:
The function is
![f(x)=\dfrac{4x}{x^2-16}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B4x%7D%7Bx%5E2-16%7D)
To find:
The asymptotes and zero of the function.
Solution:
We have,
![f(x)=\dfrac{4x}{x^2-16}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B4x%7D%7Bx%5E2-16%7D)
For zeroes, f(x)=0.
![\dfrac{4x}{x^2-16}=0](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%7D%7Bx%5E2-16%7D%3D0)
![4x=0](https://tex.z-dn.net/?f=4x%3D0)
![x=0](https://tex.z-dn.net/?f=x%3D0)
Therefore, zero of the function is 0.
For vertical asymptote equate the denominator of the function equal to 0.
![x^2-16=0](https://tex.z-dn.net/?f=x%5E2-16%3D0)
![x^2=16](https://tex.z-dn.net/?f=x%5E2%3D16)
Taking square root on both sides, we get
![x=\pm \sqrt{16}](https://tex.z-dn.net/?f=x%3D%5Cpm%20%5Csqrt%7B16%7D)
![x=\pm 4](https://tex.z-dn.net/?f=x%3D%5Cpm%204)
So, vertical asymptotes are x=-4 and x=4.
Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.
we have paul and jennifer typing speed as 60 words per minute and 80 words per minute.
here we have to identify how do we compare both of these quantities
we need to use ratios.let assume that paul typing speed is a and jennifer typing speed is b
so the ratio is a:b=a/b.
60:80=60/80=3:4.
ANSWER
The correct answer is E
<u>EXPLANATION</u>
Polygon IJKL is a rectangle.
The area is given by;
![Area=l\times w](https://tex.z-dn.net/?f=Area%3Dl%5Ctimes%20w)
The coordinates of I are
and L
.
This is a horizontal line so it will be faster using the absolute value method rather than the distance formula
The length is
![|IL|=|5--5|](https://tex.z-dn.net/?f=%7CIL%7C%3D%7C5--5%7C)
![|IL|=|5+5|](https://tex.z-dn.net/?f=%7CIL%7C%3D%7C5%2B5%7C)
![|IL|=|10|](https://tex.z-dn.net/?f=%7CIL%7C%3D%7C10%7C)
![|IL|=10](https://tex.z-dn.net/?f=%7CIL%7C%3D10)
units
The coordinates of K are
and L
.
The width is
![|LK|=|8--7|](https://tex.z-dn.net/?f=%7CLK%7C%3D%7C8--7%7C)
![|LK|=|8+7|](https://tex.z-dn.net/?f=%7CLK%7C%3D%7C8%2B7%7C)
![|LK|=|15|](https://tex.z-dn.net/?f=%7CLK%7C%3D%7C15%7C)
![|LK|=15](https://tex.z-dn.net/?f=%7CLK%7C%3D15)
units
Therefore
![Area=10\times 15](https://tex.z-dn.net/?f=Area%3D10%5Ctimes%2015)
square units
The coordinates of K are
and L
.
Answer:
x=18
pq=101
qr=101
pr=202
Step-by-step explanation:
6x-7=5x+11
+5x pasa a restar como -5x al primer miembro y -7 pasa como +7x al segundo miembro y la ecuacion quedaria asi:
6x-5x=11+7
6x-5x=x
11+7=18
entonces x=18
pq=6x-7
pq=6(18)-7
pq=108-7
pq=101
y como se sabe que pq=qr porque hay un punto medio y dos segmentos cuando los divide un punto medio esos dos segmento miden igual entonces
por eso pq=qr
y como pq=101 qr=101
por ultimo
pr=pq+qr
pr=101+101
pr=202