Answer:
1. 43/36
2. 1/2
Step-by-step explanation:
1. 7/9 + 5/12
= LCM of 9 and 12 is 36
= 28/36 + 15/12
= (28 + 15) / 36
= 43/36
2. 21/24 - 3/8
= LCM of 24 and 8 is 24
= 21/24 - 9/24
= (21 - 9) / 24
= 12/24
= 1/2
Answer:
The possible coordinates of point A are
and
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that
,
,
and
, then the possible coordinates of point A is:




There are two possible solutions:
1) 

2) 

The possible coordinates of point A are
and
, respectively.
Your formula for this is

and

. Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.
Answer:
Below
Step-by-step explanation:
sin(2x) = 2 ×cos(x)× sin(x)
● sin(x) = 2 × cos(x) × sin(x)
● 2 × cos(x) = 1
● cos (x) = 1/2
So we can deduce that:
● x = Pi/3 + 2*k*Pi
● or x = -Pi/3 + 2*k*Pi
K is an integer
Answer:
B and C
Step-by-step explanation: