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Novosadov [1.4K]
3 years ago
6

What is the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​?

Mathematics
2 answers:
aniked [119]3 years ago
8 0
A quick sketch of the point in a coordinate grid reveals a  3x8 rectangle with a perimeter of 22.  The distance between (-2,1) and (-2,4) is 3 and the distance between (-2, 1) and (6,1) is 8
IrinaK [193]3 years ago
3 0
Here is the Distance Formula:     √(x2 - x1)2 + (y2 - y1)2 So we take the first two coordinates:     (-2,1) and  (-2,4)        we will label them like so  (x1,y1) and (x2,y2)     (x1,y1) and (x2,y2)      the first coordinates are are starting point and                                       the second coordinates are the end point.                                      Substitute them into the Distance Formula        √(-2 - -2)2 + (4 - 1)<span>2  </span>=  √(0)  +(3)2    =   √9 = 3So the distance between the coordinates (-2,1) and (-2,4) is 3.Now it is your turn to do the remaining 4 points, calculate the distance between each point, then add up each of the distances, which will give you the perimeter.  If you can't do it, ask me if you need any more help!!!  IF YOU NEED THE PERIMETER HERE IT IS ========>  24
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The number of adults who attend a county fair (measured in hundreds of people) is represented by the function a(d)=−0.3d2+4d+9 ,
Lesechka [4]

Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.

Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.  

Any function f(d) to find excess of children more than adults can be written as follows :-  

f(d) = c(d) - a(d).

⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)

⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9

⇒ f(d) = 0.1d² + d + 2

6 0
3 years ago
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How much is 1/9 of 3/8 (in lowest terms)?<br> A)4/17<br> B)03/17<br> C)1/36<br> D)1/24
mojhsa [17]

Answer:

1/24

Step-by-step explanation:

multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

8 0
2 years ago
Please help asap 50 pts
Gala2k [10]
The volume of the rectangular prism:

V = length × width × height

60x^3+145x^2+70x=5x(12x^2+29x+14)=5x(12x^2+21x+8x+14)\\\\=5x[3x(4x+7)+2(4x+7)]=5x(4x+7)(3x+2)

Answer: A.\ 5x(4x+7)(3x+2)
7 0
3 years ago
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Three cards are drawn at random from a standard deck of cards, without replacement. Find the probability that the suits of the c
Evgesh-ka [11]

The probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

According to the give question.

Three cards are drawn from a standard deck of cards without replacement.

Since,

The total number of cards in a standard deck = 52

Total number of spade cards = 13

Total number of heart cards = 13

Now,

The probabbility of getting first card as a spade card = 13/52 = 1/4

The probability of getting second card as heart card

= 13/(52 -1)     (cards are drawn without replacement)

= 13/51

The probability of getting third card as a spade card

= (13 - 1)/52 -2

= 12/50

= 6/25

Therefore, the probability that suits of the cards are spades, hearts, spades

= 1/4 × 13/51 × 6/25

= 39/850

= 0.046

Hence, the probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

Find out more information about probability here:

brainly.com/question/11234923

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8 0
1 year ago
Y raise to power 1/2 =3​
marta [7]

Answer:

y = root 9

Step-by-step explanation:

1/2 is equivalent to the root of something.

The root of y equals 3.

Therefore, y would be equal to root 9, as root 9 is equivalent to 3.

Hope this helps :)

6 0
2 years ago
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