Answer:
A. -24
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form
or 
In this problem we have
For x=-3, y=12
Find the value of the constant of proportionality k

substitute the given values

so
The linear equation is equal to

what is the value of y when x=6?
substitute the value of x in the linear equation and solve for y

x^2 + 6xy + 8y2
4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
Combine like terms:
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)
= -x^2 + 6xy + 8y^2
Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.


Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

Upon dividing both sides of our equation by 10 pi we will get,



Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.
Answer:
choice. c.) (5, 1/2)
Step-by-step explanation:
(5, 4) and (5, -3)
Use midpoint formula ( (a + x)/2 , (b + y)/2) for (a,b), (x,y)
midpoint = ( (5+5)/2, (4+- 3)/2) = (5, 1/2)
Evaluate , I've had this question before and I got it right