Answer:
using the formula
we replace the coordinates
the we calculate
the answer will be square 100 which will give us 10
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:(97/17,−64/17)
Equation Form: x=97/17, y=−64/17
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Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b

c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is 
The standard deviation is 
The population mean is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the p-value is mathematically represented as


From the z-table

=> 
=> 
From the obtained values we see that 
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as

=> 
=> 
6.7 5 n
More than means +
Product of means •
So 6.7+(5n)
The answer to the first problem is the top left corner because it is the only one with a -3 y-intercept and that's in the problem
To find the answer of the second problem you find the slope of the two points with the formula y2-y1 divided by x2-x1 and you just plug it in so 5+1 (the minus signs cancel out and turn into positives) divided by 4-2 and which is 6/2 which is 3 is your slope. then you could plug this information into a point slope form using either point I'm just going to choose the one with no negatives so plugging this in would be y-5=3(x-4) then you distribute the 3 and that gives you y-5=3x-12 then
+5 +5 add five to both sides of the equation and get
y=3x-7 and then you can put that into standard form which would be -3x+y=-7 and your answer would be the second one.