Since they are congruent, all will be the same value.
c = 3
∠d = 38° (asked for the angle)
g = 5
Answer:
Center (4,1)
Radius r = 4
Step-by-step explanation:
Complete the square to fill in the standard circle equation:
, (h,k) is the center, r is the radius
![(x^2-8x+16) + (y^2-2y+1) = 16](https://tex.z-dn.net/?f=%28x%5E2-8x%2B16%29%20%2B%20%28y%5E2-2y%2B1%29%20%3D%2016)
Use formula:
therefore, ![(x-4)^2+(y-1)^2=16](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y-1%29%5E2%3D16)
(h,k) = (4,1)
r = 4
The inequality region is represented by the inequality y <x+1.
We have given that,
linear inequality is graphed with y > –x – 2 to create the given solution set
One of the lines is having the y-intercept -2 and slope -1 has the equation y=-x-2.
<h3>What is inequality?</h3>
There are wide varieties of economic inequality, most notably income inequality measured using the distribution of income and wealth inequality measured using the distribution of wealth.
The shaded region is having the inequality y>-x-2.
The other line is having the y-intercept 1 and slope of 1.
Hence equation of a line is y=x+1.
The shaded part is above the line. The inequality region is represented by the inequality y <x+1.
To learn more about the inequality visit:
brainly.com/question/24372553
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Solution:
Required margin of error = 0.05
Estimated population proportion p = 0.8
Significance level = 0.10
The
p is 0.8
The significance level, α = 0.1 is
, which is obtained by looking into a standard normal probability table.
The number of patients surveyed to estimate the population proportion p within the required margin of error :
![$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$](https://tex.z-dn.net/?f=%24n%20%5Cgeq%20p%281-p%29%5Cleft%28%5Cfrac%7Bz_c%7D%7BE%7D%5Cright%29%5E2%24)
![$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$](https://tex.z-dn.net/?f=%24%3D0.8%5Ctimes%20%281-0.8%29%5Cleft%28%5Cfrac%7B1.64%7D%7B0.05%7D%5Cright%29%5E2%24)
= 173.15
Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.
Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.
Answer:
x=4
Step-by-step explanation:
No slope means slope is undefined --> you have vertical line that passes through (4,-6), where x=4, y= -6