Answer:
-30 - 4n
Step-by-step explanation:
-34, -38, -42, -46, -50 ...
the sequence first term is -34
a= -34
Common difference (d) = T2 - T1 = T3 - T2
d = -38- -34 = -42 - - 38 = -38+34
d = -4
Formula for nth term
Tn = a + (n-1)d
Tn = -34 + (n -1)-4
Tn = -34 -4n + 4
Tn = -30 - 4n
= -30 - 4n
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SOH-CAH-TOA
sin=opp/hyp
cos=adj/hyp
tan=opp/adj
1. Sin c=opp/hyp 2. tan=opp/adj 3. sin=opp/hyp
sin c=8/17 tan38°=x/16 sin38=18/x
x=18/sin38; x=29.236846
Answer:
43
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Step-by-step explanation:
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).