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sleet_krkn [62]
2 years ago
6

What is the most precise name for quadrilateral ABCD with vertices A(-3,1) , B(-1,4) , C(5,4) , and D(3,1)?

Mathematics
2 answers:
Natasha2012 [34]2 years ago
4 0
The best and most correct answer among the choices provided by your question is the fourth choice or letter D.

We can imply from the given points that the figure is four-side or a quadrilateral.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
hram777 [196]2 years ago
4 0

Answer:

ABCD is a parallelogram.

Step-by-step explanation:

Given quadrilateral ABCD with vertices A(-3,1), B(-1,4), C(5,4) and D(3,1)

we have to give the most precise name for quadrilateral ABCD.

Using distance formula

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(-1+3)^2+(4-1)^2}=\sqrt{4+9}=\sqrt{13}units

BC=\sqrt{(5+1)^2+(4-4)^2}=\sqrt{36}=\sqrt{6}units

CD=\sqrt{(3-5)^2+(1-4)^2}=\sqrt{4+9}=\sqrt{13}units

DA=\sqrt{(-3-3)^2+(1-1)^2}=\sqrt{36}=\sqrt{6}units

Opposite sides of quadrilateral ABCD are equal.

Now, we find the slope of the sides of quadrilateral

\text{Slope of AB=}\frac{y_2-y_1}{x_2-x_1}=\frac{4-1}{-1+3}=\frac{3}{2}

\text{Slope of BC=}\frac{y_2-y_1}{x_2-x_1}=\frac{4-4}{5+1}=0

\text{Slope of CD=}\frac{y_2-y_1}{x_2-x_1}=\frac{1-4}{3-5}=\frac{3}{2}

\text{Slope of DA=}\frac{y_2-y_1}{x_2-x_1}=\frac{1-1}{-3-3}=0

Slopes of opposite sides are equal.

⇒ The sides of opposite sides of quadrilateral are parallel and equal.

⇒ ABCD is a parallelogram.

Option b) is correct.

 

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5 0
2 years ago
To simplify5(2x-7) use distributive property
sveta [45]

Answer:

10×-35

Step-by-step explanation:

5×2=10

5×7=35

So the answer is 10x-35

8 0
3 years ago
A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
I really need help, someone please help me
Hoochie [10]

Answer:

18.84 meters.

Step-by-step explanation:

The formula for a circle is πr^2.

πr^2 = 28.26

3.14 * r^2 = 28.26

r^2 = 9

r = plus or minus 3.

But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.

The formula for the circumference is 2πr.

2 * 3.14 * 3 = 6 * 3.14 = 18.84.

So, the circumference of the circle is 18.84 meters.

Hope this helps!

3 0
3 years ago
What is 13/99 as a repeating decimal
eduard

Answer:

0. 13 (the 13 recurring)

Step-by-step explanation:

Simply divide 13 by 99 on a calculator, can't be demonstrated here

8 0
3 years ago
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