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

8 0

3 years ago

Help!! Any effort is very much appreciated

Tanya [424]

Answer:

-2

Step-by-step explanation:

Gradient/slope = $\frac{-1-19}{16-6} = \frac{-20}{10} = -2$

3 0

3 years ago

How to solve this part

san4es73 [151]

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:

$\frac{x-x_P}{x_R-x_P} =\frac{y-y_P}{y_R-y_P}; \ => \ \frac{x+4}{-3+4}=\frac{y+4}{-2+4}; \ => \ \frac{x+4}{1}=\frac{y+4}{2} \ or \ y=2x+4$

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>

4 0

3 years ago