The greatest common factor is...
5a
I got this by...
10: 1,2,5,10
15: 1,3,5,15
25: 1,5,25
The GCF is 5 for the numbers.
For the a's, it's...
a: a
a^3: a×a×a
a^6: a×a×a×a×a×a
The GFC is a.
Then multiple 5 and a, and you get...
5a
The GFC is...
5a
Hope this helps!
Solve the system by graphing
{y = 7 - x the slope is -1 and the y intercept is 7
{x + 3y = 11 3y = -x+11 y = 1/3 x + 11/3 the slope is 1/3 and the y intercept is 11/3
The solution is x=5, y=2 you will need to graph
Classify the system without graphing
{2x + y = 3 y = -2x+3
{y = -2x - 1
These lines are parallel same slope different y intercept
C) Inconsistent System
Classify the system without graphing
{x + 3y = 9
{-2x - 6y = -18 divide by -2
x+3y = 9
same line
A) Dependent System
Substitute x=0 in the equation and find the value for y that makes the resulting equation true. For example, in the equation x-2y=2, when x=0, the equation becomes -2y=2. Since y=-1 makes this equation true, one point on the line is (0,-1)
The sine of the measure of an angle in a right triangle, is the ratio of the opposite side of that angle, to the hypotenuse.
The cosine of the measure of an angle in a right triangle, is the ratio of the adjacent side of that angle, to the hypotenuse.
According to these, we have:

and

.
Thus, the ratios of both are identical