Help on these problems please for my test
1 answer:
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Person 1 takes 3 hour 10 minutes to complete 9 procedures
<em><u>Solution:</u></em>
From given question,
Person 2 takes 30 minutes per procedure
Person 1 writes internal operating procedures 3 times faster than Person 2
So we get, Person 1 takes 3 times faster than Person 2
Person 1 takes 10 minutes per procedure
But two of the procedures for Person 1 took an hour each
So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )
<em><u>Calculate how long it took Person 1 to complete 9 procedures:</u></em>
So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure
We know that,
1 hour = 60 minutes
Therefore,
190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes
190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes
Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures
Answer:
The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.
Step-by-step explanation:
The two parabolas are and y = x² - 2x - 3.
Now, solving those two equations we will get the points of intersection.
So,
⇒ - (x - 1)² + 24 = 3x² - 6x - 9
⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9
⇒ 4x² - 8x - 32 = 0
⇒ x² - 2x - 8 = 0
⇒ x² - 4x + 2x - 8 = 0
⇒ (x - 4)(x + 2) = 0
So, x = 4 or - 2.
Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).
Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).
Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.
So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)