The "midpoint formula" is the same as the "average formula:"
x-coordinate of the midpoint = average of -2 and 10:
= (-2 + 10) / 2 = 4
y-coordinate of the midpoint = average of 3 and 3:
= (3+3) / 2 = 3
Thus, the midpoint of the given line segment is (4,3).
Answer:
Step-by-step explanation:
<u>Given function</u>
From the table we get the function g(x), use pairs (1, 10) and (3, 14)
<u>The slope:</u>
- m = (14 - 10)/(3 - 1) = 4/2 = 2
<u>The y-intercept:</u>
- 10 = 2(1) + b
- b = 10 - 2
- b = 8
<u>The function g(x) is found as:</u>
<u>The y- intercept of f (x) is subtracted from the y-intercept of g (x):</u>
The area of the base = 15 * 15 = 225 m2
ande tharea of each sloping triangular side = 1/2 * 15 * 18 = 135 m2
so total surface area = 225 + 4*135 = 765m2
Answer:
$35
Step-by-step explanation:
10% + 20% = 30%
You spent 30% of the $50 clothes and games.
You spent the rest on books.
100% - 30% = 70%
You spend 70% on books.
70% of $50 = 0.70 × $50 = $35
Answer: $35
Answer:
Commission = $768
Total amount commission in 2011 = $41,472
Step-by-step explanation:
Commission = Sales × 12% of sales
Commission = $6,400 × .12
Commission = $768
Number of weeks in a year = 52 weeks
Total amount commission in 2011 = Commission per month × Number of
weeks in a year
Total amount commission in 2011 = $768 × 52
Total amount commission in 2011 = $41,472
