Answer:
129
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication / division, addition /subtraction.) I will use these as abbreviations.
8^2 + 9 (12/3*2) - 7
P: Start with P, and inside P go left to right with M/D
D: 8^2 + 9 (4*2) - 7
M: 8^2 + 9 (8) - 7
E: The next step is E, so I will do 8^2
64 + 9 (8) - 7
M/D: I will then multiply from left to right
64 + 72 - 7
A/S: Finall I will add and subtract from left to right.
A: 136 - 7
S: 129
Find slope of line A:
Move into slope-intercept form y = mx+b
<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8
The slope of line A is -5/8.
If </span><span>Line B is perpendicular to line A, then
slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5
So like B has the equation
y = (8/5)x + b
If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6
So line B has equation </span>
<span>y = (8/5)x - 6
m = 8/5 and b = -6
so
m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5
So m+b = -22/5 or -4.4 in decimal form
</span>
<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
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