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Tom [10]
2 years ago
10

What is the definition of polygon????

Mathematics
1 answer:
djyliett [7]2 years ago
7 0
<span>a plane figure with at least three straight sides and angles, and typically five or more.</span>
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A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What
Alinara [238K]

9514 1404 393

Answer:

   625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

  A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

__

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

8 0
2 years ago
Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Shkiper50 [21]

Answer:

(x, y) = (-2, -6)

Step-by-step explanation:

Learn more at brainly.com/question/15168004

5 0
3 years ago
Find the result when 7x + 12 is subtracted from 11x – 10.<br> -<br> We have to use distributing
Sveta_85 [38]

Answer:

-4x+2

Step-by-step explanation:

STEP 1: Subtract 11x from 7x.

STEP 2: Subtract 10 from 12.

8 0
2 years ago
Read 2 more answers
There are 6 boys and 9 girls in the church's youth group. What type of ratio is boys to girls
mina [271]
I hope this helps you




6/9


2.3/3.3



2/3



2:3
3 0
3 years ago
−2x=x2−6 Rewrite the equation by completing the square.
V125BC [204]

Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

6 0
3 years ago
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