A(–2, 4), B(4, 4), C(4, –2), D(–2, –2)
-> select some diagonal: AC
midpoint is at A+(1/2)*AC
-> calculate vector AC:
AC=(4-(-2),-2-4)=(6,-6)
-> calculate half length of AC:
(1/2)*AC=(3,-3)
A+(1/2)*AC=
(-2,4)+(3,-3)=(1,1) which is the midpoint
so the first option is correct
Answer:

Step-by-step explanation:
Let
x------> Lamar's collection of cards
The algebraic expression of the phrase "Lamar decreased his collection of cards by seven" is equal to subtract the number seven from Lamar's collection of cards
so

Answer:
b. 2 cans of ink
Step-by-step explanation:
In order to calculate the number of cans you need to paint the complete wall, you first calculate the area of the wall by using the information about its width and height:

With one can you can paint 10m^2 of wall, with two cans you can paint 20m^2, which is enough to paint the wall of 12.5m^2.
Then, you need only two cans of ink
b. 2
Answer:

Step-by-step explanation:





Answer:

Step-by-step explanation:
Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

Hope this helps!