Answer:
They are congruent, so it is simply as 37
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.
Answer:
A
Step-by-step explanation:
The equation 
describes the proportional relationship between variables x and y. In this equation, k is the coefficient of proportionality.
Consider all options:
A. For the equation
the coefficient of proportionality is
B. For the equation
the coefficient of proportionality is
C. For the equation
the coefficient of proportionality is
D. For the equation
the coefficient of proportionality is
Check the picture below. We know that the rectangle has a length of AB and a width of AD, so simply let's find those distances to get the perimeter and area, recall that the perimeter is simply two lengths plus two widths, and the area is just length times width.
![~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4 - 2]^2 + [5 - 3]^2}\implies AB=\sqrt{2^2+2^2}\implies \boxed{AB=2\sqrt{2}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20A%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B3%7D%29%5Cqquad%20B%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B5%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20AB%3D%5Csqrt%7B%5B4%20-%202%5D%5E2%20%2B%20%5B5%20-%203%5D%5E2%7D%5Cimplies%20AB%3D%5Csqrt%7B2%5E2%2B2%5E2%7D%5Cimplies%20%5Cboxed%7BAB%3D2%5Csqrt%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad D(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill AD=\sqrt{[3 - 2]^2 + [2 - 3]^2} \\\\\\ AD = \sqrt{1^2+(-1)^2}\implies \boxed{AD=\sqrt{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large Perimeter}}{2\sqrt{2}+2\sqrt{2}+\sqrt{2}+\sqrt{2}}\implies 6\sqrt{2} \\\\\\ \stackrel{\textit{\large Area}}{2\sqrt{2}\cdot \sqrt{2}\implies 2\sqrt{2^2}}\implies 4](https://tex.z-dn.net/?f=~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20A%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B3%7D%29%5Cqquad%20D%28%5Cstackrel%7Bx_2%7D%7B3%7D~%2C~%5Cstackrel%7By_2%7D%7B2%7D%29%20~%5Chfill%20AD%3D%5Csqrt%7B%5B3%20-%202%5D%5E2%20%2B%20%5B2%20-%203%5D%5E2%7D%20%5C%5C%5C%5C%5C%5C%20AD%20%3D%20%5Csqrt%7B1%5E2%2B%28-1%29%5E2%7D%5Cimplies%20%5Cboxed%7BAD%3D%5Csqrt%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20Perimeter%7D%7D%7B2%5Csqrt%7B2%7D%2B2%5Csqrt%7B2%7D%2B%5Csqrt%7B2%7D%2B%5Csqrt%7B2%7D%7D%5Cimplies%206%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20Area%7D%7D%7B2%5Csqrt%7B2%7D%5Ccdot%20%5Csqrt%7B2%7D%5Cimplies%202%5Csqrt%7B2%5E2%7D%7D%5Cimplies%204)
Answer: Cluster sampling technique
Step-by-step explanation:
Cluster sampling is any sampling procedure that the statistics can be divided into a finite
number of distinct and identifiable units, the most of groups or clusters in the statistics will correctly represent the total students that are interviewed in the class.
