If ABCD is a parallelogram, we have to prove that slope of
AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the
slope of line segment AB = 0/-4, CD =
0/-4, BC = 1, DA = 1. Going back to the
condition, the slope we get for each line segment proves that ABCD is a
parallelogram.
Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
The part D is the correct one...
Answer:
; 262 000
Step-by-step explanation:
The general formula for an exponential function is
a = 140 000; b = 1.04; x = 16
y = 140 000(1.04)¹⁶
y = 140 000 × 1.873
y = 262 000
The graph below shows the population growth over time.
