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Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:

Thus,

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.


Therefore when given the hypotenuse with endpoints at
 
We know that the third point of the right triangle will be at

and that the two side lengths will be defined by the absolute values of:


 
        
             
        
        
        
We use unit rate in every day life, for example, when comparing prices at stores. One store may offer five bowls for $7.99 and the other one bowl for $2.45.
        
             
        
        
        
Answer:
a) 1 game
b) 41 goals
c) median = 2
Step-by-step explanation:
a)
As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.
b)
To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:
total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals
c)
To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.
We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.
 
        
             
        
        
        
Answer:
Below
Step-by-step explanation:
● f(x) = -2x + 3 
● f (0) = -2 (0) +3 = 3 
● f(-32) = -2(-32)+3 = 64 + 3 = 67 
● f(10) = -2(10) +3 = -20 + 3 = -17 
● f(-17) = -2(-17) + 3 = 34 + 3 = 37 
● f(10) => -17 
● f(-17) => 37