10 and 2/3 = 32/3
32/3 x 8 = 256/3
256/3 = 85.33333333333 repeating
Answer:3/2
Step-by-step explanation:
<span>a4 = 3*4 = 12. Answer: 3,6,9,12. 3) an = 3n – 5 a1 = 3*1-5 = -2 a2 = 3*2 – 5 = 1 a3 = 3*3-5 = 4 a4 = 3*4 – 5 = 7 Answer: -2,1,4,7. 5) an = 3n a1 = 31= 3 ... 21) an = (-1)n; a50. Answer: a50 = (-1)50 = 1. 23) an = ;a12. Answer: #25-40: write an expression for the nth term of the sequence. 25) 2,4,6,8,10…. Answer: an = 2n ...</span><span>
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b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer
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Step-by-step explanation: