Lets divide this prism into two parts. The bottom part has dimensions of 15mm length x 5mm width x 7mm height.
The bottom is 15x5x7 = 525 cubic mm.
The top part has dimensions of 9mm length (I got this by subtracting the 3mm on each side that the top is shorter than the bottom.. 15-3x2) x 5mm width x 3mm height.
The top is 9x5x3 = 135 cubic mm.
Added together ... 525 + 135 = 660 cubic mm = the total area of the prism.
Hope this helps
Answer:
Yes, she is correct.
Step-by-step explanation:
y = kx is direct variation
15 = k*-3
k = -5.
So the equation of variation is
y = -5x
When x = -4:
y -5*-4 = 20.
X= 3 y=3
(3)2x+y=9
4x-3y=3
6x+3y=27
4x-3y=3
——————
10x=30
—————-
10
x=3
2(3)+y=9
6+y=9
-6. -6
y=3
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
=====================================================
Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.