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Ratling [72]
1 year ago
8

Type the correct answer in each box. If necessary, round your answer(s) to the nearest hu The vertices of AABC are A(-2, 2), B(6

, 2), and C(0, 8). The perimeter of AABC is ​
Mathematics
1 answer:
Aleksandr-060686 [28]1 year ago
7 0

Answer:

  22.81

Step-by-step explanation:

The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.

<h3>Side lengths</h3>

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using this formula the triangle side lengths are ...

  AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8

  BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2

  CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40

The perimeter of the triangle is the sum of these lengths:

  P = 8 +6√2 +2√10 ≈ 22.8098

The perimeter is about 22.81 units.

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In the diagram of circle C,what is the measure of &lt;1?
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Answer:

∠ 1 = 35°

Step-by-step explanation:

The secant- secant angle is one half the difference of the intercepted arcs, that is

∠ 1 = 0.5(106 - 36)° = 0.5 × 70° = 35°

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2 years ago
What number is 27% of 52? Round to the nearest tenth if necessary.
Fittoniya [83]
27% of 52 is 14
Hope this helps. Brainliest?
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3 years ago
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Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
Maksim231197 [3]
The difference has 4 terms and a degree of 7
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3 years ago
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Help please asap
padilas [110]
These are 2 questions and 2 answers:

<span>1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x  -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show  you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x  -14 ]
----------------------
         5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
              5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
              5

5) factor the numerator using 5x as common term of the two binomials:

(5x  ) ( 5x   ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7)  <---> two numbers that add up - 3 and their product is  - 70

=>

(5x - 10)(5x + 7)
---------------------
         5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)


2. Question 2.  The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: </span><span><span>option C. (2x + 5)(3x - 4)</span>

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
              6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
           6

(6x + 15)(6x - 8)
---------------------- =
        3.2

(6x + 15)      (6x - 8)
------------- .  ------------ =
      3                2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)</span>
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pychu [463]

Answer:

$7.50

Step-by-step explanation:

set it up as a proportion:

amount she charges/number of kids= x/number of kids

4.50/3=x/5

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