Answer:
LP = 18
Step-by-step explanation:
Given that,
In ΔLPN,
LQ = 6, LM = 11 and MN = 22
We need to find the length of LP.
As QM ║PN, let QP = x

LP = 6+x
= 6+ 12
= 18
Hence, the length of LP is 18.
Answer:
x = 6 ± 5
Step-by-step explanation:
x² - 12x + 11 =0
x² - 12x = -11 Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)
x² - 12x +36 = -11 + 36 1/2(-12)² = 36
(x - 6)(x - 6) = 25
(x - 6)² = 25
² =
square root of both side of the equation
x - 6 = ± 5 (5)² = 25 and (-5)² = 25
x = 6 ± 5
Answer:
from ride one to two its 300 then from two to three its 400 then from three to four its 300 then from four to three its 300.
so add it all up
300 + 300 + 300 + 400 = 1,300 yards and that is you answer
hope i helped and have a good day!
Answer:
1st Graph
Step-by-step explanation:
Parent Graph of Exponentials: f(x) = a(b)^x + d
Since we are only modifying the base exponent and <em>d</em> (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.
Alternatively, we could graph the equation and choose the best fit:
A.

cannot be the power set of any set. Consult Cantor's theorem, which says that the cardinality of the power set of any set (even the empty set) is strictly greater than the cardinality of the set.
(No part b?)
c. Also not the power set of any set, because any power set must have

elements, where

is the cardinality of the original set. The cardinality of this set is 3, but there is no integer

such that

. This set would be a power set if

(that is, the set containing the empty set) were a member of it.