The missing fraction is -1/12
The distance<span> formula is derived from the Pythagorean theorem. To find the </span>distance between two points<span> (x</span>1,y1) and (x2,y2<span>), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.</span>
Answer:
a) the graph has a minimum
b) (3, 0)
c) x=3
d) N/A
c) (0, 9)
*forgot how to solve for roots
Step-by-step explanation:
Desmos
Answer:
i. Girls : 10 merits
ii. Boys : 11.4 merits
iii. The boys did better on average because the number of their mean merits received is higher than that girls.
Step-by-step explanation:
Mean = 
Sum of merits received by boys = 5 + 10 + 19 + 22 + 13 + 10 + 1
= 80
number of merits = 7
Mean number of merits received by boys = 
= 11.4286
The mean number of merits received by boys is 11.4
Sum of merits received by girls = 6 + 11 + 15 + 16 + 12 + 10 + 0
= 70
number of merits = 7
Mean number of merits received by girls = 
= 10.0
The mean number of merits received by girls is 10.0
Therefore,
i. Girls : 10 merits
ii. Boys : 11.4 merits
iii. The boys did better on average because their mean merits is higher than that girls.
Step-by-step explanation: Let x be the larger number and let y be the smaller one.
x-y=13
x=2y+3
Now you can substitute x=2y-3 into the first equation.
x-y=13=(2y+3)-y
y+3=13
y=10
x=2y+3=20+3=23. Hope that helped!