Answer:

Step-by-step explanation:

Answer:
x² - 1 = 8
Step-by-step explanation:
Given the following algebraic expression;
x² - 1
When x = -3
Substituting the value of x, we have;
x² - 1 = (-3)² - 1
x² - 1 = 9 - 1
x² - 1 = 8
Method II.
x² - 1 = (x - 1)(x + 1)
Substituting the value of x, we have;
x² - 1 = (-3 - 1)(-3+ 1)
x² - 1 = -4(-2)
x² - 1 = 8
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the lateral area of the pyramid
we know that
The lateral area of the pyramid, is equal to the area of six congruent isosceles triangles
so
![LA=6[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have

Applying Pythagorean Theorem calculate the height of triangle


simplify

Find the lateral area
![LA=6[\frac{1}{2}(6)(6\sqrt{2})]\\\\LA=108\sqrt{2}\ in^2](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%286%29%286%5Csqrt%7B2%7D%29%5D%5C%5C%5C%5CLA%3D108%5Csqrt%7B2%7D%5C%20in%5E2)
Part 2) Find the base area
we know that
The area of a regular hexagon is equal to the area of six equilateral triangles
so
Applying the law of sines to calculate the area of triangle
![B=6[\frac{1}{2}b^2sin(60^o)]](https://tex.z-dn.net/?f=B%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E2sin%2860%5Eo%29%5D)
we have


substitute
![B=6[\frac{1}{2}6^2(\frac{\sqrt{3}}{2})]](https://tex.z-dn.net/?f=B%3D6%5B%5Cfrac%7B1%7D%7B2%7D6%5E2%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29%5D)

Answer:
A
Step-by-step explanation:
is A just put A ok this going i help you you welcome