Yes they are because they share the same variables and you can add the numbers.
Answer:
5(15+4)
Step-by-step explanation:
the greatest common factor is 5
Answer:

Step-by-step explanation:
Let height of a banner be
, then we know that this is
of the length
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:

So there we have it!
If the banner is 5 ft tall, then it's length will be:

Answer:
The answer is 2/3
Step-by-step explanation:
In order to find the slope, we need to use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we can plug the points into the equation and solve.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (7k - 5k)/(9k - 6k)
m (slope) = 2k/3k
m (slope) = 2/3
Answer:
Step-by-step explanation:
We first need to find the slope of the given line. Putting that standard form of a line into slope intercept:
12y = -3x - 6 so

In this form we can easily determine that our slope is -1/4. That means that the perpendicular slope, the opposite reciprocal, is +4. We will write first the point slope of the new line using our given point, then solve it for y, putting it into slope-intercept form. y - (-7) = 4(x - (-1)) and
y + 7 = 4x + 4 so
y = 4x + 4 - 7 so
y = 4x - 3