we know that
The vertex of the function
is the point 
The vertex of the function
is the point 
The x-coordinate of the vertex is equal to h
the y-coordinate of the vertex is equal to k
so
the value of h is 
the value of k is 
the equation is

therefore
<u>the answer is the option a</u>

Answer: It takes Him 1/4 hours to decorate both signs,
Step-by-step explanation:
Hi, since the area of a rectangle is equal to:
Area: length x width
Replacing with the values given;
Sign 1 =A1 = 2/3 x 1/4 =1/6 ft2
Sign 2 =A2= 1/2 x 1/3 = 1/6 ft2
If we sum both areas:
A1 +A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)
Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:
For 1/3 ft2
3/4 hour x 1/3 ft2 = 1/4 h
ITt takes Him 1/4 hours to decorate both signs,
All you have to do is move your decimal point over eight places to the right and then subtract that from the first number and you have your answer.
X = 4 Hope You In Joy I Did The Math My Self
Answer:
x = 4
Explanation:
Given the expression;
![\sqrt[]{x}-4\text{ = -2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7Bx%7D-4%5Ctext%7B%20%3D%20-2%7D)
Add 4 to both sides
![\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7Bx%7D-4%2B4%5Ctext%7B%20%3D%20-2%2B4%7D%20%5C%5C%20%5Csqrt%5B%5D%7Bx%7D%3D%5Ctext%7B%202%7D%20%5Cend%7Bgathered%7D)
Square both sides
![\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28%5Csqrt%5B%5D%7Bx%7D%29%5E2%3D2%5E2%20%5C%5C%20x%5Ctext%7B%20%3D%204%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is 4