Answer: 1 It's the hundreds place 
Step-by-step explanation:
164.13
1 is hundreds 6 is tens 4 is one .(point) 1 is uniths and 3 is tenths
Anything after the decimal ends in (ths) (ones(uniths), tenths, hundreths) but since we only have to write
The underlined digit which is 1 it's only HUNDREDS or the hundreds place value 
 
        
             
        
        
        
The path of the ball is an illustration of absolute equation.
The equation of the path is: 
The given parameters are:
 --- the vertex (i.e. the point where the ball hits the wall)
 --- the vertex (i.e. the point where the ball hits the wall)


An absolute function is represented as:

Substitute 

Substitute  for x and y
 for x and y


Remove absolute bracket

Collect like terms


Solve for a

Simplify

Substitute  in
 in 

Hence, the equation of the path is: 
See attachment for graph that models the path
Read more about absolute equations at:
brainly.com/question/2166748
 
        
             
        
        
        
Answer:
(a)x=128 degrees
(b)
Step-by-step explanation:

(a) Now:

(b)


 
        
             
        
        
        
 
 
 
The Answer is A
Explanation:
The standard form equation for an ellipse is:
(x - h)² / a² + (y - k)² / b² = 1
So looking at the picture above you can see that the center of the ellipse is at the origin which is (0;0) making both h and k zero. 
It is then observed that the x-intercepts are at 12 meaning a=12 and y- intercepts are at approximately square root of 95 which is 9.746... which are 'k'
So you can conclude by saying that:
x²/12² + y²/(sqrt of 95)² = 1 
then giving you the answer of A which is:
x²/144 + y²/95 = 1
 
        
             
        
        
        
First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.
Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.
now we just need to add them for the sum:
23+79=102
hope I helped, and let me know if you have any questions :D