Answer:
D. 3.2
Step-by-step explanation:
Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.
Based on this theorem, we have: TV = ½(RS)
TV = 3n - 2
RS = n + 12
Substitute
3n - 2 = ½(n + 12)
Multiply both sides by 2
2(3n - 2) = (n + 12)
6n - 4 = n + 12
Collect like terms
6n - n = 4 + 12
5n = 16
Divide both sides by 5
5n/5 = 16/5
n = 3.2
<span>
-4c - 11 = 4c +21 add 4c to both sides
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<span>
-4c - 11 + 4c = 4c + 21 + 4c simplify
- 11 = 8c + 21</span> <span> subtract 21 from both sides
- 11 - 21 = 8c + 21 - 21 </span><span>simplify
- 32 = 8c divide both sides by 8
c = - 4That's it
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I hope you got
the idea
The table containing the data needed for this problem is attached on this answer. This data is used to determine the best fit line that is extracted from this multitude of points given. Best fit line is described as a line in which the variation of each point to the line is the minimum. We plot the data using MS Excel and is shown in the figure attached as well. We determine the trendline of the graph by the function in MS Excel. The equation of the trendline is expressed as <span>y = -26.059x + 722.63 in which the coefficient of determination, r^2 = 0.8947. </span>
Answer:
4. 2. 2. 4. 5. 5. 10. 15.
Step-by-step explanation:
x−1 x+1. = ∞. 2. All the vertical asymptotes of the function f(x) = x2 − 1 x3 − 9x are at. Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... x→a− f(x) or lim x→a+ f(x) is ±∞. For a = 0, lim x→0+ f(x)=+∞. For a = 3, lim x→3+ f(x)=+∞. ... 5. 10. Which of the following gives the graph of f (x)
The answer is
<span>D. y = 4cos(-x) - 2
proof
cosine is an even function, it means cos(-x) = cosx
so </span>y = 4cos(-x) - 2 = y = 4cos(x) - 2