#6. the answer is 12 it increases by 4 every time
#8. the answer is every week he runs his miles increase by 5
Answer:
E. Penial
Step-by-step explanation:
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:


Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For
to be defined:


Therefore,
and 
⇒ [-5, 4) ∪ (4, ∞)
The arrows should start at zero because then the expression wouldn't be true. She should have made 5 groups if she had started at zero.
Answer:
Option 4 : 16+24i
Step-by-step explanation:
Given a circle has a diameter with end points at(15+25i) and (-25-17i)
Centre would be the mid point of these two points
Centre = 
Out of given four points to find which point lies on the circle
If a point lies on the circle then it would have distance from centre equal to radius.
Radius = distance between two given points/2
=
Let us calculate distance form each point.
i)-15+2i: distance from -5+4i= 10.19
ii) 0+0i : distance from -5+4i = 6.40
iii) 15+17i : Distance from -5+4i = 23.85
iv) 16+24i: distance from -5+4i= 29
Hence only 4th point lies on the circle