Step-by-step explanation:
The sum of the three angles in a triangle must be
. Since this triangle has a right angle, we know that it is
°, so the sum of the remaining two angles must be
.
We can set up an equation for the two remaining angles to determine the value of
:




(1/3)x=3+(1/4)x
is the same as
(4/12)x=(36/12)+(3/12)x
subtract the 3/12x from each side
(1/12)x=36/12
multiply by 12 on each side
x=36
Answer:
For k = 6 or k = -6, the equation will have exactly one solution.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



If
, the equation has only one solution.
In this problem, we have that:

So




We will only have one solution if
. So





For k = 6 or k = -6, the equation will have exactly one solution.
Answer:
12 (the third one is the greatest common factor of 120 and 84)
Answer:
12
Step-by-step explanation:
f(14)= f (3 + 11)
= f(3) = 12
Therefore the value of f(14) is 12.