Answer:
A. - 6
Is the common difference
see the expressions below that prove so.
Step-by-step explanation:
The sequence shows -6 to each number is same as k-6 or even n-6
we use such letters to represent 1 value. Also the reason it is a negative number is because the numbers are decreasing within the sequence.
The nth expression is the first term equation shows -6n
and the number prior to 45 is 45+6 = 51
Put together this creates our nth term = -6n + 51
The next term is where we use the common difference also.
next nth term = (27) + (- 6) = 21 and so on proves it the 5th term
5th nth term = -6 x 5 +51 = 21
100th nth term = -6 x 100 +51 = -549
Answer:
A. 12+2p
G. p+p+12
Step-by-step explanation:
The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game
Number of points scored in the last game of the season = 2p + 12
A. 12+2p
Equivalent
B. 2+p+12
= P + 14
Not equivalent
C. 2+12p
Not equivalent
D. p(2+12)
= 2p + 12p
Not equivalent
E. p+2+12
= P + 14
Not equivalent
F. 12p+2p
Not equivalent
G. p+p+12
= 2p + 12
Equivalent
Answer:
The coordinates of the center of the lake are .
Step-by-step explanation:
It is given that Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2).
If we joint these points, then we get a triangle and the center of a triangle is known as centroid.
The formula for centroid of a triangle is
The centroid of the triangle H(-4,1), G(-2,-3), and C(5,-2) is
Therefore the coordinates of the center of the lake are .
Answer:
21
Step-by-step explanation: