Answer:
Check the step-by-step
Step-by-step explanation:
To get the perpendicular you need to find the negative reciprocal, therefore, he is wrong as he did not switch the negative/positive sign in m & 1/m. Also, if m is a fraction like 5/3, the reciprocal would not be 1/m, it would be 3/5 as you flip the denominator and numerator.
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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2. a) absolute values for the slopes
y = mx + c
3/4, 9,-11, -1 = 3/4, 9,11, 1
the higher the slope, the steeper the graph. 11 is high,
y = -11x - 5
b) 1/4,3,-3/4,-8 = 1/4,3,3/4,8
smaller value is 3/4
the least steep graph will be in,
y = -3/4x + 7
c) 6,2,1, 1/2
1/2 is the smallest value.
y = 1/2x + 6
d) It would be less steep.
e) It would be shifted down.
f) y = -8x - 3
g) y = 1/4x + 9
h) y = 3x - 1
i) y = -5x - 10
Answer:
ST = 4
Step-by-step explanation:
