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3 years ago

How do you solve 8|x+2|-6=5|x+2|+3

Mathematics

1 answer:

sergejj [24]3 years ago

7 0

Answer:

x = 1 or x = -5

Step-by-step explanation:

Solve for x over the integers:

8 abs(x + 2) - 6 = 5 abs(x + 2) + 3

Subtract 5 abs(x + 2) - 6 from both sides:

3 abs(x + 2) = 9

Divide both sides by 3:

abs(x + 2) = 3

Split the equation into two possible cases:

x + 2 = 3 or x + 2 = -3

Subtract 2 from both sides:

x = 1 or x + 2 = -3

Subtract 2 from both sides:

Answer: x = 1 or x = -5

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Qual é a posição relativa entre as retas y = 2x + 5 e y = -4x + 1

nadezda [96]

I think the answer is -3

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3 years ago

Please Help its past due!

salantis [7]

Draw or Cut two similar squares with sides $b+c$ units long.

Draw or cut four pairs of similar right triangles with side lengths as indicated in the diagram.

Now arrange the similar triangles at the corners of the squares such that the sides $b$ of one similar triangle plus the side $c$ of a second similar triangle coincides with the length of the square.

We do another arrangement of the similar triangles. This time arrange another 4 similar triangles in the opposite corners, such that each pair forms a square.

Now comparing the two different arrangements we got two different areas that are equal.

The area of the uncovered squares in the first arrangement is $a^2$

The area of the two uncovered squares in the second arrangement is $b^2+c^2$

Equating the two areas gives the Pythagoras Theorem

$a^2=b^2+c^2$

Note that $a$ is the hypotenuse, $b$ and $c$ are two shorter sides of the similar right triangles.

3 0

3 years ago

Read 2 more answers

A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

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3 years ago

Please help with problems 6 and 7.

monitta

6 is A and seven is B

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3 years ago

What is the following product?

Leona [35]

Answer:

First option: 6y^2sqrt(10) + 12sqrt(5y)

Step-by-step explanation:

3sqrt(10) * (2y^2 + 2sqrt(2y)

= 6y^2sqrt(10) + 6sqrt(20y)

= 6y^2sqrt(10) + 12sqrt(5y)

3 0

3 years ago