Step-by-step explanation:
lim(n→∞) (2ⁿ / 2ⁿ⁺¹)
lim(n→∞) (2ⁿ / (2ⁿ × 2¹))
lim(n→∞) (1 / 2)
1/2
The sum is 12x3+18x2-10x+8
Answer:
A. 16.12 ft B. 9.64 ft
Step-by-step explanation:
For both of these, you need Pythagorean's Theorem because we have right triangles. In part A, we are given 2 legs and are asked to find the length of the hypotenuse:
and

and PR = 16.12 ft
In part B, we are given the length of the hypotenuse and side PQ remains the same:
and

so
QR = 9.64 ft
Answer:
c. (A + B)^2-A^2 + 2AB + B^2
Step-by-step explanation:
Given that:
a.
(A-B)^2 = A^2 - 2AB + B^2
If and only if AB = BA
Then;
(A-B)^2 = (A -B ) (A - B)
(A-B)^2 = A^2 - AB-BA + B^2 (FALSE)
b.
(AB)^2=A^2B^2
on true if any only if AB =BA
(AB)^2= (AB) (AB)
c.
(A+ B)^2 = A^2 + 2AB + B^2
(A+ B)^2 = (A + B) (A+B)
(A+ B)² = A × A + A × B + B × A + B × B
(A+ B)^2 = A^2 + A*B + B*A + B^2
This is true
You can conclude that the sides are parallel because the slope of the opposites are the same. (Second option).
You can conclude that the polygon is a rectangle since it has 4 90º angles, and 4 sides, each one parallel to the other and of the same lenght as it's parallel. (Last option).
Answer:

Hope it helped,
Happy homework/ study/ exam!