Answer:
slope = - 6
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 15 = - 6(x + 7) ← is in point- slope form
with slope m = - 6
Answer:
-12u+8w+16
Step-by-step explanation:
to get rid of the parenthesis you multiply everything that is inside of the parenthesis by -4
-4x3u=-12u
-4x-2w=8w
-4x-4=16
then we just add everything together and end with
-12u+8w+16
hope this helps (;
Answer:
Unique Triangle
You can think of it visually.
How to get it: The triangle sum theorem, which only allows for unique triangles (depending on the question), can be applied here.
Answer:
3n^2
Step-by-step explanation:
3, 12, 27, 48, 75
List the differences between terms:-
9, 15, 21, 27
Now find the second differences:-
6, 6, 6
The sequence in the question is quadratic and the first coefficient ( that of n^2) = 6/2 = 3. The first term in the nth term formula is 3n^2.
Now we write out the original sequence and the 3n^2 values as follows:-
3 12 27 48 75
3 12 27 48 75
They are the same so the formula for the nth term is 3n^2.