Answer:
We conclude that the length of LM if L(3,4) and M(1,-2) will be:
Hence, option D is correct.
Step-by-step explanation:
Given
Determining the length of LM
The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula
substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)
Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:
Hence, option D is correct.
2. 
Domain: 
, because any value of 
is allowed and gives a number 
.
Range: 
, because 
for any positive real 
.
y-intercept: This is a point of the form 
. So plug in 
; we get 
. So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)
Asymptote: This can be deduced from the range; the asymptote is the line 
.
Increasing interval: Going from left to right, there is no interval on which is increasing, since 1/4 is between 0 and 1.
Decreasing interval: Same as the domain; is decreasing over the entire real line.
End behavior: The range tells you 
, and you know is decreasing over its entire domain. This means that 
as 
, and 
and 
.
3. 
Domain: Same as (2), 
.
Range: We can rewrite 
. 
for all , so 
for all . Then the range is 
.
y-intercept: We have 
, so the intercept is (0, -6) (or just -6).
Asymptote: 
Increasing interval: Not increasing anywhere
Decreasing interval:
End behavior: Similar to (2), but this time as and 
as .
Answer:
101
Step-by-step explanation:
The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.
If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:
99 + a = 2(100)
99 + a = 200
a = 200 - 99
a = 101
Answer:
36 : 6 and -6
12 = 
1.96 =1.4 and -1.4
0.64 : 0.8 and -0.8
400 : 20 and -20
25/36 = 5/6 and -5/6
Step-by-step explanation:
we know that
(-x)^2 = x^2
ALSO
(x)^2 = x^2
thus, square of both negative and positive number is same positive number.
_________________________________________________
36 = 6*6
36 = -6*-6
hence
square roots of 36 is both -6 and 6
12 = 4*3 = 
also
12 = 
___________________________________
1.96 = 196/100 = (14/10)^2
1.96 = 196/100 = (-14/10)^2
hence
_______________________________
0.64 = 64/100 = (8/10)^2 = 0.8^2
0.64 = 64/100 = (-8/10)^2 = (-0.8)^2
Thus, square root of 0.64 = 0.8 and -0.8
_________________________________
400 = 20^2
400 = (-20)^2
__________________________________
25/36 = (5/6)^2
25/36 = (-5/6)^2
the answer is a) because its the numerator is bigger than the denominator
