Answer:
H (1, 2)
Step-by-step explanation:
Answers F, G and J give points on the pentagon
Therefore, H is the correct answer
For this case we must solve each of the equations proposed:
A) 
We apply distributive property to the terms within parentheses:

Subtracting 6 from both sides of the equation we have:

Dividing between -12 on both sides of the equation:

B) 
We apply distributive property to the terms within parentheses:

We add 5m on both sides of the equation:

Dividing between 2 on both sides of the equation:

C) 
We apply distributive property to the terms within parentheses:

We subtract 14 from both sides of the equation:

Dividing between -7 on both sides of the equation:

D) -
We apply distributive property to the terms within parentheses:

We add 28 to both sides of the equation:

Dividing between -21 on both sides of the equation:

Answer:

Check the picture below. So the parabola looks more or less like so.
let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.
Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.
![\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bparabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%204p%28x-%20h%29%3D%28y-%20k%29%5E2%20%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20this%20one%7D%7D%7B4p%28y-%20k%29%3D%28x-%20h%29%5E2%7D%20%5Cend%7Barray%7D%20%5Cqquad%20%5Cbegin%7Barray%7D%7Bllll%7D%20vertex%5C%20%28%20h%2C%20k%29%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20h%3D-2%5C%5C%20k%3D5%5C%5C%20p%3D-1%20%5Cend%7Bcases%7D%5Cimplies%204%28-1%29%28y-5%29%3D%5Bx-%28-2%29%5D%5E2%5Cimplies%20-4%28y-5%29%3D%28x%2B2%29%5E2%20%5C%5C%5C%5C%5C%5C%20y-5%3D-%5Ccfrac%7B1%7D%7B4%7D%28x%2B2%29%5E2%5Cimplies%20y%3D-%5Ccfrac%7B1%7D%7B4%7D%28x%2B2%29%5E2%2B5)
Answer:
The number of pair of gym shoes does Mr. king has is 27 pairs .
Step-by-step explanation:
Given as :
Total number of pairs of shoes does king has = 36 pairs
The number of gym shoes =
of the total pairs of shoes
Let The number of pair of gym shoes = n
<u>According to question</u>
The number of gym shoes =
× the total pairs of shoes
Or, n =
× 36
i.e n = 
Or, n = 3 × 9
∴ n = 27
So, The number of pair of gym shoes = n = 27 pairs
Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer
Answer:
x = 30
Step-by-step explanation:
-2x + 10 +4x=70
-10 -10
-2x + 4x = 60
2x = 60
/2 /2
x = 30