Answer:
12 inches
Step-by-step explanation:
<h3>
Answer: B. 4 units to the right, 5 units down</h3>
The vector notation <4, -5> is the same as writing
which in my opinion is more descriptive in saying "4 units to the right, 5 units down"
We shift 4 units to the right because of the x+4. Whatever x is, add 4 to it getting x+4. So for instance x = 10 leads to x+4 = 10+4 = 14.
The y-5 is why we shift 5 units down. Eg: y = 37 leads to y-5 = 37-5 = 32.
Answer:

Step-by-step explanation:
An arithmetic sequence is of the form:

While a geometric sequence is of the form:

notice that first, we have a change of sign in our sequence, so we already can discard the arithmetic sequence.
In fact, the pattern is kinda easy to see.
The first term is:
A₁ = 2
the second term is:
A₂ = -10
notice that:
A₂/A₍ = r = -10/2 = -5
The third term is:
A₃ = 50
the quotient between the third term and the second term is:
A₃/A₂ = 50/-10 = -5
Whit this we can already conclude that the n-th term of our sequence will be:

Then the summation will be something like:

We can write:

Then the summation is just:

There's a bit of lack of context but I think the question is just asking what variables to put in for Lucy and Howard. There seems to be no need to answer any math problem.
I suggest using the variables x and y or l for Lucy and h for Howard. Remember to use lowercase letters.