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4 years ago

11

Solve and graph |-8x|<=8

2 answers:

yulyashka [42]4 years ago

4 0

The answer for this is -1x.

Alex73 [517]4 years ago

3 0

-1x is the answer ******

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2.943÷2.7 any help???

Zinaida [17]

The answer will be 1.09. Hope this will help you!

6 0

4 years ago

Read 2 more answers

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

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

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

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

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

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

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

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

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

6 0

3 years ago

Find the value of x in the figure below:<br> a. 20<br> b. 60<br> c. 180<br> d. 40

vovangra [49]

Answer:

d. 40

Step-by-step explanation:

2x + x +( x + 20) have to all equal 180 degrees in a triangle.

2x + x + x + 20 = 180

2x + 2x + 20 = 180

4x + 20 = 180

4x = 180 - 20

x = (180-20) / 4

x = 160 / 4

x = 40

6 0

3 years ago

The acme car company sold 46 vehicles in june. How many compact cars were sold in june? Write an equation using x as your varibl

sleet_krkn [62]

Answer:

The equation is: 9+x=46

The number of compact cars sold in June was: 46-9, or 37

Let me know if this helps!

6 0

3 years ago

Abhasra bought 8 writing utensils for a

padilas [110]

Answer:

6 pens for 36$ then 2 pencils for 2$ equal 38$

Step-by-step explanation:

5 0

3 years ago