(y - 4)(y^2 + 4y + 16) = y^3 + 4y^2 + 16y - 4y^2 - 16y - 64
Therefore, a = 16.
Look at the two faces which are parallel. Those are the bases and give the prism its name. In this case, the triangles are the parallel faces. Therefore, they are the bases and the prism is a triangular prism
Answer:
Step-by-step explanation:
At y-intercept, the value of x = 0
Plug in x = 0 in the equation
(0 +4)( 0+2) = y
y = 4*2
y = 8
Y-intercept (0,8)
X is 45, z is 45, and y is 90
Answer:
x = 4
, y = 3
Step-by-step explanation:
Solve the following system:
{2 x - 3 y = -1 | (equation 1)
y = x - 1 | (equation 2)
Express the system in standard form:
{2 x - 3 y = -1 | (equation 1)
-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - 3 y = -1 | (equation 1)
0 x - y/2 = (-3)/2 | (equation 2)
Multiply equation 2 by -2:
{2 x - 3 y = -1 | (equation 1)
0 x+y = 3 | (equation 2)
Add 3 × (equation 2) to equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 4
, y = 3
