Answer:

Step-by-step explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is 
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
<span>4 hundreds 13 tens 5 ones = 400+13*10+5
= 400+130+5
= 535</span>
Answer:
<em>y</em> = (5/3)<em>x</em> - 9
Step-by-step explanation:
First, find the slope (rise over run):
m = (-9 - (-14)) / (0 - (-3)) = (-9 + 14) / (0 + 3) = 5/3
Use the point-slope form equation with the given points (-3, -14):
y + 14 = (5/3)(x + 3)
or optionally in slope intercept form:
<em>y</em> = (5/3)<em>x</em> - 9