Answer:
m =
Step-by-step explanation:
f = 4m + 3m -1
f = 7m - 1
<em>Adding 1 to both sides</em>
f+1 = 7m
<em>Dividing both sides by 7</em>
m =
How can you tell if a linear system of equations has an infinite number of solutions?
1 answer:
You might be interested in
Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.
Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.
Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.
So, the coordinates of the endpoint are
If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.
We have and
. The midpoint is computed as
So, you have the equations
Multply both equations by 2 to get
Move the constants to the right hand sides to get
Answer:
Step-by-step explanation:
Here, you can see every consecutive term is divided by 2. I think that's pretty obvious looking at it, but you can work it out like this if you'd like to. Divide each consecutive term by the one before it:
Each term is multiplied by 1/2 over the last, or divided by 2. In this case actually, we do want it in the form of "multiplied by 1/2", as the recursive equation is:
where x is the factor. Here, we're multiplying by x, so we want "multiplied by 1/2" as described above. x is 1/2, so you can write the equation:
You can simply interpret this as "each term is 1/2 of the term before it"