Answer:
or
Step-by-step explanation:
we know that
the formula to calculate the distance between two points in three dimensions is equal to
Let
-----> coordinates of the barrel of her gun
-----> coordinates of the target
substitute the values
I assume you meant "surface area" :)
Looking at the net, it looks like if you folded it back together it would form to become a triangular prism.
To calculate the surface area of a triangular prism, you would use the formula: A = bh + 2ls + lb, where b is the base of the triangular faces, h is the height of the prism, l is the length of the prism, and s is the side length of the prism.
I attached a picture to help you see what these labels are.
Looking at the diagram you've provided, we can assume that b = 7 cm, h = 4 cm, l = 8 cm, and s = 5 cm. Substitute these into the formula.
A = bh + 2ls + lb ==> A = (7)(4) + 2(8)(5) + (8)(7)
Multiply from left to right.
28 + 80 + 56
Add.
164
The surface area of this triangular prism is A) 164 cm^2.
"horizonally" and "x-coordinate" are very much related.
If you start with a point and move the point horiz., the x-coordinate will change accordingly. If the original point were (2,3) and the point is translated 3 units to the right, then the new x-coord. would be 2+3, or 5: (5,3).
We write the translation one by one:
D (3, 5)
D' (-6, 2)
That translates to: (x - 9, y - 3), because that is for passing from D to D': (3 - 9, 5 - 3) = (-6, 2).
Therefore if it is true for D and D' then, it has to be true for all others (you can check) for that rule to be true, so the correct answer is:
(x, y)→(x − 9, y − 3)