Answer:
The answer to part B is B.
Step-by-step explanation:
Could you take another photo so I can see the bottom of the page?
Answer: 16/81 (x-10)^2 -4
Step-by-step explanation:
To write a vertex equation with just a point and the vertex, you have to figure out the variables.
In vertex form, the equation is y = a (x-h)^2 + k
Your y is 12, x = 1, h = 10, and k = -4
Plug everything into equation
12 = a (1 - 10)^2 -4
12 = a (-9)^2 - 4
12 = 81a - 4
16 = 81a
16/81 = a
Now you know what the 'a' value is.
If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!
I hope this helps!
To start, write your locations as points, with north and south being positive and negative y respectively and east and west being positive and negative x respectively. Doing this gives us the mall at (-3,-2) and the park at (4,5). Now, we use our distance formula

to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get

. This square root can be rounded to 9.9 miles.
Answer:
M = 107 degrees
Step-by-step explanation:
JKM = PQR
J = P
J = 33
K = Q
K = 40
R = M
R = 107
Given:
The expression is
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,

Now,




There are more ways to apply the parenthesis, but we do not get 19.



And many more possibilities.
Therefore, the expression after inserting the parentheses is
.