Answer:
2/3, 12/18 and 18/27
Step-by-step explanation:
Volume = 12 * area of triangular base
area of triangle = 1/2 base * height = 3 * height
height = sqrt(5^2 - 3^2) = 4
area of triangle = 4*3 = 12
Vol of prism = 12*12 = 144 cubic units
Answer:
-2
Step-by-step explanation:
Gradient/slope =
Try this solution (the way shown is not the shortest one):
The task on the left part:
1. note, the point P and R have coordinates (-4;-4) and (-3;-2).
2. using the coordinates of points P and R it is possible to make up the equation of the required line:

The task of the right part:
1. note, the common view of the equation of the line is y=kx+b, where b - an intersection point of the Y-axis and the given line; k=QR/PQ.
2. according the picture b= -5, k=4/1=5, so <u>y= -4x-5</u>