If <span>a ≥ 0</span><span> then </span><span>√a</span><span> denotes the non negative square root of </span>a<span>.
</span><span>(x-9)^2 = (-(x-9))^2
</span>
So both <span>x−9</span><span> and </span><span>−<span>(x−9)</span></span><span> are square roots of </span><span><span>(x−9)</span>2</span><span>, but we want to pick whichever is non negative.
</span><span><span>
x−9</span>|</span><span> does that for us.
</span>
Answer should be √<span>(x-9)^2) = x-9</span>
They way to find the y-intercept from two points is to first find the slope, which can be derived from the formula 
.
Then, you can plug in one of the two points 
or 
into the formula y=mx+b to solve for b, which is your y-intercept.
Answer:
Yes, he is meeting his original goal to be successful.
The critical value is 1.833
Step-by-step explanation:
H0: mu = 300
Ha: mu > 300
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
Test statistic (t) = (sample mean - population mean) ÷ (sample sd/√n)
sample mean = 335
population mean = 300
sample sd = 50
n = 2×5 = 10
t = (335 - 300) ÷ (50/√10) = 35 ÷ 15.81 = 2.21
Degree of freedom = n-1 = 10-1 = 9
Significance level = 5%
Critical value corresponding to 9 degrees of freedom and 5% significance level is 1.833.
Conclusion:
Reject the null hypothesis because the test statistic 2.21 is greater than the critical value 1.833.
His original goal to be successful is contained in the alternate hypothesis, therefore, he is meeting it.
Parallel lines has equal slopes.
Line x = -16 is a vertical line.
Equation of vertical line is given by x = x1
Required equation is x = 9
