Answer:
11
Step-by-step explanation:
Evaluate using
PEMDAS
First we do what is inside of the Parenthesis 12 - 9 = 3
Now we have 2 + 3²
Next is Exponents 3² = 9
Now we have 2 + 9
there is no multiplication or division needed so we go straight to addition
9 + 2 = 11
So we can conclude that the answer is 11
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.


Answer:
The line segment partitioned two-fifths from A to B is (10,6)
Step-by-step explanation:
First point from A to B is (16,8)
than find the difference between A to B i.e B - A
(1,3)-(16,8) = (-15,-5)
To measure the (2/5) difference we will multiply (-15,-5) with (2/5) which is equal to (-6,-2)
Now Add the difference to the first coordinate (point A) gives
Point of division = (16,8)+(-6,-2)
Point of division = (16-6, 8-2)
Point of division = (10,6)
3). y = -1/3x + 5
4). y = -1x +5
Slope intercept form: y = mx + b
m = slope
b = y intercept
Your answer is going to be 2304