You paint of a wall in hour. At that rate, how long will it take you to paint one wall?

Find the perimeter of rectangle BCEF. Round your answer to the nearest hundredth

777dan777 [17]

Answer:

The perimeter of the rectangle B C E F is 16.97 units

Step-by-step explanation:

* Lets explain how to solve the problem

- B C E F is a rectangle

- The perimeter of the rectangle is the sum of the length of its

four sides

- The coordinates of the vertices of the rectangle are:

B (0 , 3) , C (4 , -1) , E (2 , -3) , F (-2 , 1)

- To find the dimensions of the rectangle use the rule of distance

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

* Lets solve the problem

∵ $(BC)=\sqrt{(4-0)^{2}+(-1-3)^{2}}=\sqrt{16+16}=\sqrt{32}$

∵ $(CE)=\sqrt{(2-4)^{2}+(-3--1)^{2}}=\sqrt{4+4}=\sqrt{8}$

∵ $(FE)=\sqrt{(2--2)^{2}+(-3-1)^{2}}=\sqrt{16+16}=\sqrt{32}$

∵ $(BF)=\sqrt{(-2-0)^{2}+(1-3)^{2}}=\sqrt{4+4}=\sqrt{8}$

∵ The perimeter of the rectangle = BC + CE + FE + BF

∴ The perimeter = $\sqrt{32}+\sqrt{8}+\sqrt{32}+\sqrt{8}=16.97$

∴ The perimeter of the rectangle B C E F is 16.97 units

4 0

4 years ago

Simplify <br><br> 3(5x + 4y) + 6(y - 2x)

svetlana [45]

Answer:

3x+18y

Step-by-step explanation:

Distribute into 15x+12y+6y-12x then add like terms.

4 0

3 years ago

Read 2 more answers

What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2

NNADVOKAT [17]

Answer:

Step-by-step explanation:

y+4 = 3(x-2)

6 0

3 years ago

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Dahasolnce [82]

<h2>Hello!</h2>

The answer is:

The last equation,

$y+3=-6(x+9)$

To find which of the given equations represents a line that passes through the point (-9,-3) and has a slope of -6, we need to find an equation that can be satisfied by evaluating the given point.

We can see that the only equation that can be satisfied evaluating the point (-9,-3) is the last equation:

$y+3=-6(x+9)$

Evaluating the point, we have:

$-3+3=-6*(-9+9)$

$0=-6*(0)$

$0=0$

We can see that the equation is satisfied!

Also, we can see that evaluating the point into the other equations, they will not be satisfied.

Let's prove that:

Evaluating:

First equation:

$y-9=-6(x-3)\\-3-9=-6*(-9-3)\\-12=-6*(-12)=72$

The equation is not satisfied.

Second equation:

$y+9=-6(x+3)\\-3+9=-6*(-9+3)\\6=-6*(-6)=36$

The equation is not satisfied.

Third equation:

$y-3=-6(x-9)$

$-3-3=-6(-9-9)$

$-6=-6(-18)=108$

The equation is not satisfied.

Hence, the correct option is the last option, the equation that represents a line that passes through (–9, –3) and has a slope of –6 is the last equation:

$y+3=-6(x+9)$

Have a nice day!

Note: I have attached a picture for better understanding.

5 0

3 years ago

Read 2 more answers

7(w+2)=-6(2w-1)+3w<br>solve for w.

Goshia [24]

9514 1404 393

Answer:

w = -1/2

Step-by-step explanation:

Eliminate parentheses, collect terms:

7w +14 = -12w +6 +3w . . . eliminate parentheses

7w +14 = -9w +6 . . . . . . . . collect terms

16w +14 = 6 . . . . . . . . . . . . add 9w

16w = -8 . . . . . . . . . . . . . . . subtract 14

w = -1/2 . . . . . . . divide by 16, reduce the fraction

__

<em>Check</em>

7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)

7(3/2) = -6(-2) -3/2

21/2 = 12 -3/2 . . . . . true, answer checks OK

8 0

3 years ago