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3 years ago

Can anyone pls help me in this pls I will mark u as brainliest

Mathematics

1 answer:

valentinak56 [21]3 years ago

3 0

Answer:

13.83

Step-by-step explanation:

AC = 3 - (-2) = 5

CB = 4 - 1 = 3

AC ⊥ CB

AB = √5² + 3² = √34 = 5.83

perimeter: 5 + 3 + 5.83 = 13.83

next question, use the formula d = √(x - x')² + (y - y')²

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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

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

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

Plz help pe with this guys, thank you.

Burka [1]

31.+ addition
32. - subtraction

7 0

3 years ago

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (

Crank

The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

<h2>We have to determine</h2>

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

<h3>According to the question</h3>

A line segment at points A(2, -3) and B (-4, 9).

The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;

$\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\
\\
 y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\
\\$

Where $\rm x_1 = 2 , \ x_2 =-4, \ y_1 =-3, \ y_2 = 9$

Substitute all the values in the formula;

$\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\$

$\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\
\\
x = -2+2\\
\\
x=0$

$\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\
y = \dfrac{1}{3} \times (12) -3\\
\\
y = 4-3\\
\\
y =1$

Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

To know more about Coordinates click the link given below.

brainly.com/question/13847533

7 0

3 years ago

A cafe stores ice cream in a large hemisphere-shaped bowl with a diameter of 36 cm.

skelet666 [1.2K]

Answer:

1115.8

Step-by-step explanation:

3 0

3 years ago

I have 2 mor quizzes of this assiment day 1 of trying to start 9th grade language arts

Scilla [17]

The change in temperature is -28°F

So, Option D is correct.

Step-by-step explanation:

Temperature at day time = 72°F

Temperature at night = 44°F

What number represents the change in number?

Change in temperature = Temperature at night - Temperature at Day

Change in temperature = 44°F-75°F

Change in temperature = -28°F

The change in temperature is -28°F

So, Option D is correct.

Keywords: Solving Expressions

Learn more about Solving Expressions at:

#learnwithBrainly

3 0

4 years ago