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3 years ago

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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Please help me!!!! with both

loris [4]

Answer:

Part 11) $a_n=a_{n-1}-16$ , $a_1=17$

Part 2) 4+3i

Step-by-step explanation:

Part 11) write a recursive rule for the sequence

$17,1,-15,-31,...$

Let

$a_1=17\\a_2=1\\a_3=-15\\a_4=-31$

we know that

$a_2-a_1=1-17=-16$ ----> $a_2=a_1-16$

$a_3-a_2=-15-1=-16$ ----> $a_3=a_2-16$

$a_4-a_3=-31-15=-16$ ----> $a_4=a_3-16$

This is an arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).

In this problem the common difference is equal to $d=-16$

therefore

A recursive rule for the sequence is

$a_n=a_{n-1}+d$

substitute the value of d

$a_n=a_{n-1}-16$

where

$a_1=17$

Part 12) What is the complex conjugate of 4-3i?

we know that

The <u><em>complex conjugate</em></u> of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

we have that

the real part of the given number is 4 and the the imaginary part is -3i

the imaginary part equal in magnitude but opposite in sign is +3i

therefore

the complex conjugate of the given number is equal to

$4+3i$

6 0

3 years ago

What is the sale price of a shirt that was originally 25$ but that has been marked down by 33%

Dahasolnce [82]

Answer:

C) 16.50

Step-by-step explanation:

25 being marked down by 33% is the same as being 66% of 25

now you just replace the percents with decimals.

25 * 0.66 = 16.50

Edit: Thank you for brainliest!

Good luck with your homework :>

------------------------------------------------------

Sorry if I explain things badly or give you the wrong answer

7 0

4 years ago

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Find the sum of the geometric series.

sveticcg [70]

Answer:

40/3 option B

Step-by-step explanation:

20-10+5-5/2+ ...

We need to find the sum of infinite geometric series

$S_n = \frac{a}{1-r}$

a is the first term (20)

r is the common ratio

To find common ratio we divide second term by first term

r= $\frac{-10}{20} = -\frac{1}{2}$

now we plug in the values

$S_n = \frac{20}{1-(-\frac{1}{2}}$

$S_n = \frac{20}{1+\frac{1}{2}}$

$S_n = \frac{20}{\frac{3}{2}}$

$S_n = 20 * \frac{2}{3}$

sum = 40/3

7 0

4 years ago

Which three lengths CANNOT be the lengths of the sides of a triangle?

asambeis [7]

23 m, 17 m, 14 m
Cuz the length of a side must be bigger than the difference of the other two

4 0

3 years ago

Please help please guys how are you doing

andriy [413]

Answer:

the answer of the the triangle is 6

7 0

3 years ago

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