<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is 
When substituted,the equation becomes 
which when simplified is 
The line clearly passes through origin.
The distance between two points is 
Distance between origin and 
is 
.
Distance between origin and 
is 
Scale factor is 
So,scale factor is 
which when simplified becomes 3.
10. 150
11. 1250
12. 105
13. 158000
15. B
Let's do 51 and 52.
51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.
The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.
Answer: C
52.
For the statement to be true, the exponent must be zero:
Both positive 2 and negative 2 have a square of 4.
Answer: K
By the way, usually we assume 
so the restriction that 
isn't really necessary. Think of the definition of a polynomial or the binomial expansion:
For these common equalities to work when 
we need to define
Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
Answer:B
Step-by-step explanation:
