Answer:
and 
Step-by-step explanation:
Note that if 
then 
Functions 
do not have vertical asymptotes at all.
Vertical asymptotes have functions 
Functions 
and 
have the same vertical asymptotes (when 
).
Functions and have the same vertical asymptotes (when 
). See attached diagram
Answer:
1 and 9
Step-by-step explanation:
By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.
In other words, in a triangle with side lengths 
and 
we always have 
Applying this to this question, the other side length, 
must satisfy the following inequalities:
Solving these inequalities gives
Combining these solutions, we have 
Therefore, the length of the third side falls between 1 and 9.
The tens are double the ones: c= 2d
the thousands are double the tens:
a = 2c = 4d
the sum of the digits is 19:: a+b+c+ d = 19
Substitute for a and c to get:
4d + b + 2d + d = 19
b + 7d = 19
d=2;b=5;0=4;a=8
Ans:8542
Answer:
The third answer option is correct. sqrt(x) = x^(1/2). So sqrt(121) = 121^(1/2)
Z would also be 63 degrees. Triangle WXZ is isosceles, as sides WX and WZ are marked as congruent. This means that the two base angles of the triangle (the bottom two) are congruent. You already know that one of the base angles, X (or WXY), is 63 degrees, so using this reasoning, the other base angle, YZW, is 63 degrees as well. I hope this helps!
