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kherson [118]
3 years ago
15

What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) What is the area of the rectangle?

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

The area of the triangle with the given vertices is 10 square units

Step-by-step explanation:

      x   y

D    3   3

E    3   -1

F   -2   -5

D    3   3


Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2

Absolute value: Abs

A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2

A = Abs [ (-3-15-6)-(9+2-15) ] / 2

A = Abs [ (-24)-(-4) ] / 2

A = Abs ( -24+4) / 2

A = Abs (-20) / 2

A = 20 / 2

A = 10 square units


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1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26
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Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

<u>Part A</u>

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<u>Part B</u>

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<u>Part C</u>

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

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Step-by-step explanation:

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