Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:

For the first section, complete the square for
:


Do the same for the second:



All together:



The center is (-9,-7).
The radius is 
Answer:
Ella should add
lbs of water.
Total weight of syrup
lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:

Cross multiply:

Ella should add
lbs of water.
Total weight of syrup

For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:

Then we have the following options illustrate the property:

It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled
Answer:
Option A, D, E, F
The <em>correct answer</em> is:
The first number is 0.062.
Explanation:
Let x represent the first number in the list.
We add 0.001 to each number to find the next number; this gives us:
x + 0.001 + 0.001 = 0.064
Combining like terms, we have:
x + 0.002 = 0.064
Subtract 0.002 from each side:
x + 0.002 - 0.002 = 0.064 - 0.002
x = 0.062
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.