Answer:
(8, -9), (11, -9)
Step-by-step explanation:
The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.
For a line to not intersect the line y = 7, it must be parallel to y = 7.
The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.
From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.
Answer: (8, -9), (11, -9)
Both triangles area:
4.2 x 8.2 = 34.44
you don’t need to divide by two cause there’s two triangles anyways.
also, you get 8.2 by subtracting the total length by the top length. (13.5-5.3)
rectangle:
4.2 x 5.3 = 22.26
the total area is 56.7cm squared
We will be using the Point Slope formula which is 
The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.

This simplifies into 
Then we can subtract 5 from each side to get the answer:

Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 
5 3/5 as an improper fraction is 28/5.
I hope this is helpful! :D