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valina [46]
4 years ago
9

The area of the trapezoid

Mathematics
1 answer:
const2013 [10]4 years ago
8 0
The formal of a trapezoid is 1/2h(base one +base two).
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3 years ago
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Quinn leaves her house at 10:00 am and runs 3 miles at a steady pace of 6 miles per
bogdanovich [222]

Using the relation between velocity, distance and time, it is found that Quinn returns home at 1 pm.

Velocity is <u>distance divided by time</u>, that is:

v = \frac{d}{t}

  • She walked <u>3 miles</u> at a velocity of <u>6 miles per hour</u>, thus d = 3, v = 6. The time is:

v = \frac{d}{t}

t = \frac{d}{v} = \frac{3}{6} = 0.5

  • Thus, she arrived at 10:30 am, and took a lunch break of 1 hour, so she started to return at 11:30 am.
  • Distance of <u>3 miles,</u> velocity of <u>2 miles per hour,</u> thus d = 3, v = 2. The time she took to return, in hours, is:

t = \frac{d}{v} = \frac{3}{2} = 1.5

1.5 hours after 11:30 am is 1 pm, thus, Quinn returns home at 1 pm.

A similar problem is given at brainly.com/question/24316569

8 0
3 years ago
Find all intervals on which the graph of f(x)=(x-1)/(x+3) is concave upward
Yuliya22 [10]
To find concavity we need to find the second derivative.
Use quotient rule to find f'(x)=4/(x+3)^2
Then use chain rule to find f''(x)=-8/(x+3)^3
To find potential inflection points, we need to find all x values where the second derivative is equal to 0 or is undefined.

Set the numerator and denominator equal to 0 and solve.

(x+3)^3=0
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Now plug a value less than -3 and greater than -3 into the second derivative to find where the concavity is upward (positive number).

Since f''(-4) is positive, that means that f(x) is concave up on the interval (-infinity, -3).




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