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3 years ago

Write a numerical expression for the verbal expression. the difference of six and two divided by four

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

(6-2)/4

Step-by-step explanation:

Make sure you have the parenthesis

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Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

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

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

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

$BD=\sqrt{50}\ units$

Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

The polygon is a square

Find the Area of the polygon

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

2 years ago

Do i solve this?? need help???

Arlecino [84]

A =
5 and -5
-1 and 3

¹/₃B =

-6 and 12
-7 and 7

¹/₃B + A =

-1 and 7
-8 and 10

7 0

3 years ago

Please help ...........

viva [34]

I believe the answer is d

7 0

3 years ago

a certain shark has triangular teeth with a height that is 1 centimeter shorter than the base. if the area of one tooth is 1 squ

Advocard [28]

The Shark's teeth has a base of 2 cm and height of 1 cm.

Step-by-step explanation:

Step 1 :

Given,

the area of the shark's triangular teeth = 1 sq cm

Let b be the base and h be the height of the shark's triangular teeth.

We have the teeth's height is 1 cm short than the base

So h = b - 1

Step 2 :

Area of Triangle = ( $\frac{1}{2}$ ) × b × h = 1

Substituting h = b -1

( $\frac{1}{2}$ ) × b × (b-1) = 1

=> b² - b = 2 = > b²-b-2 = 1

Solving for b we have

(b-2)(b+1) = 0

b = 2 or b = -1

Since b is the base , we take the positive value as length/distance cannot be negative.

So b = 2

h = b - 1 = 2 - 1 = 1

h = 1

Step 3 :

Answer :

The Shark's teeth has a base of 2 cm and height of 1 cm.

6 0

3 years ago

Can someone please help me with this i need it badddd

svetlana [45]

G=61°, h=9. the opposite angles are equal, and the opposite sides are equal.

7 0

3 years ago