I think 51 because if you were to do it reverse then it would be 40x4=160 then -35-36-38 it would be 51.
Answer:
slope of the first line: 1
slope of the second line: 0.778
slope of the third line: 0.375
slope of the fourth line: 1.25
Step-by-step explanation:
Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:
slope = (y2 - y1)/(x2 - x1)
Therefore,
slope of the first line: [5 - (-4)]/[4 - (-5)] = 1
slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778
slope of the third line: [2 - (-1)]/[3 - (-5)] = 0.375
slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25
Answer:
the last option (-5k+4)-8 + 6k
Step-by-step explanation:
-8(-5k+4)+6k
to simplify, begin by distributing the -8 so that parentheses are removed:
=(-8)(-5k) + (-8)(4) + 6k
=40k - 32 + 6k
combine 'like terms':
46k-32
the only answer which simplifies to 46k-32 is the last option:
the only difference between the original problem and the last option is that the -8 value is behind the parentheses instead of in front of it; it simplifies to be 46k-32
Answer:
270
Step-by-step explanation:
For any arithmetic sequence
nth term is given by
nth term = a + (n-1)d
where a is first term,
d is common difference
d is given by nth term - (n-1)th term
sum of n terms given by
sum = n/2(2a + (n-1)d)
________________________________________________
Given arithmetic sequence
-2,0,2,4,6,8...
first term a = -2
lets take third term as nth term and second term as (n-1)th term to find common difference d.
d = 2 - 0 = 2
using a = -2 , d = 2, n = 18
thus, sum of first 18 terms = n/2(2a + (n-1)d)
=18/2( 2*(-2) + (18-1) 2)
=9 ( -4 + 34)
=9 ( 30) = 270
Thus, sum of first 18 terms is 270.
