Answer:

Step-by-step explanation:
Give that:
the surface equation is 
from the family of traces in x = n given that
, the equation can be represented as :


This represents a family of hyperbola for all values of n expects that n = ± 1
So, if n = ± 1,
Then

(y-z) (y+z) = 0
y = ± z
So, for n = ± 1, it is a pair of line for y = z, y = -z
Answer:
6(37.5) + 45 = $270
Step-by-step explanation:
Answer:
C) supplementary angles
Step-by-step explanation:
C) supplementary angles
They add up to 180.
X + 5 + 11x = 12x + y
Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)
Subtract 12x from each side makes each zero.
5 = y
So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82
x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125
x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989
So we verified y = 5
Answer:
The new volume of an enlarged tank is 4000m³
Step-by-step explanation:
The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times
h * w * l = 32 m³
(h*5) * (w*5) * (l*5)
if we rearrange the multiplications
(h * w * l) * 5 *5 * 5 =
v * 5 * 5 * 5 =
32m³ * 5 *5 *5 = 4000m³