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3 years ago

on square bcde if e is located at (4,-9) and d is located at (10,-5) find the perimeter of the square

Mathematics

1 answer:

mariarad [96]3 years ago

5 0

Answer:

8 $\sqrt{13}$ units

Step-by-step explanation:

We know that:

P = 4a

We can find one side by distance formula:

a = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
a = $\sqrt{(10 - 4)^2+(-5+9)^2} = \sqrt{36+16} = \sqrt{52} = 2\sqrt{13}$

Then the perimeter is:

P = 4*2 $\sqrt{13}$ = 8 $\sqrt{13}$ units

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Name the property shown in the equation: 4 x (5 + 6) = (4 x 5) + (4 x 6)

Novosadov [1.4K]

The property used in the equation is called Distributive property.

<h3>What is Distributive property?</h3>

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.

Given an equation, 4 x (5 + 6) = (4 x 5) + (4 x 6)

The property used in this equation is distributive property.

a(b+c) = (a*b)+(a*c)

Hence, The property used in the equation is called Distributive property.

For more references on Distributive property, click;

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8 0

1 year ago

1.905 rounded to the nearest tenth

Tema [17]

1.905 rounded to the nearest tenth is 1.9

4 0

3 years ago

Find the value of t.

zaharov [31]

Answer:

t =12 m

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem.

Put the smaller triangle on top and the larger triangle on bottom

12 9

------ = -------

16 t

Solve by using cross products

12 t = 9*16

12 t =144

Divide by 12

12t/12 = 144/12

t = 12

5 0

2 years ago

Read 2 more answers

Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

andreev551 [17]

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0 or sin(2x) = 0 or 2 cos(2x) + 1 = 0

sin(5x) = 0 or sin(2x) = 0 or cos(2x) = -1/2

sin(5x) = 0 ==> 5x = arcsin(0) + 2nπ or 5x = arcsin(0) + π + 2nπ

… … … … … ==> 5x = 2nπ or 5x = (2n + 1)π

… … … … … ==> x = 2nπ/5 or x = (2n + 1)π/5

sin(2x) = 0 ==> 2x = arcsin(0) + 2nπ or 2x = arcsin(0) + π + 2nπ

… … … … … ==> 2x = 2nπ or 2x = (2n + 1)π

… … … … … ==> x = nπ or x = (2n + 1)π/2

cos(2x) = -1/2 ==> 2x = arccos(-1/2) + 2nπ or 2x = -arccos(-1/2) + 2nπ

… … … … … … ==> 2x = 2π/3 + 2nπ or 2x = -2π/3 + 2nπ

… … … … … … ==> x = π/3 + nπ or x = -π/3 + nπ

(where n is any integer)

5 0

2 years ago

Find the volume of this figure and show your work

mario62 [17]

Answer:

Step-by-step explanation:

The answer is 10 because there are five stacks of 2 cubes. 5 x 2 = 10.

4 0

3 years ago