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marissa [1.9K]
3 years ago
7

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units. Part A: What is the expression that repre

sents the area of the triangle? Show your work to receive full credit. (4 points) Hint: Area = 0.5bh Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Mathematics
2 answers:
meriva3 years ago
6 0

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.

Anettt [7]3 years ago
5 0

To answer this item, we use the equation given for the calculation of the area of the triangle.

                                A = 0.5bh

Substituting the known expressions,

                      A = (0.5)(3x – 6)(2x + 4)

 

Part A: Use distribution method to simplify the expression for the calculation of area.

 

                         A = 0.5(6x^2 + 12x – 12x – 24)

                           A = 0.5(6x^2 – 24)

<span>                          A = 3x^2 – 12</span>

 Part B: The equation for area of has a degree of two because the highest exponent is 2.

<span>Part C: The closure property of polynomials is always closed for multiplication.</span>
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Temka [501]
Wouldn’t it be $1.50 since half of 3 is 1.5
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2 years ago
What is the length and width of a 864 square feet
spayn [35]
The area doesn't tell you the dimensions. There are an infinite number of different answers, all with the same area but different dimensions.
Here are a few:
1 ft by 864 ft
2 ft by 432 ft
3 ft by 288 ft
4 ft by 216 ft
8 ft by 108 ft
16 ft by 54 ft
24 ft by 36 ft
27 ft by 32 ft.

The area of each of these is 864 square feet.
3 0
3 years ago
HELP ME PLZZ asap I really need it
Furkat [3]

Answer:

20) 2/32 so colour 2 boxes

21) 7/16

22) 2/60

23) 3/8

24) 35/63 or 5/9

25) 7/32

26) 45/60 or 9/12 or 3/4

27) 1/32

28) 3/21 or 1/7

29) 13/6 × 9/2

= 117/12

30) 3/4 × 17/2

= 51/8

31) 9/8 × 10/3

= 90/24

= 45/12

= 15/4

32) 16/5 × 2/3

= 32/15

sorry if theres any calculation mistake becoz i did all the calculations in mind

Step-by-step explanation:

5 0
3 years ago
I can’t figure out the solution I think it is y &lt; -10
Olenka [21]

Hey there!

  • <em>With negatives (-) you have to switch your symbol to the other way</em>
  • \bold{\frac{y}{-2}\leq5}
  • Firstly, substitute the \bold{y\ value  } as an invisible 1
  • So, now we have to flip the equation around
  • \bold{\frac{-1}{2}y\leq5}
  • We have to \bold{multiply} by \bold{-2} on each of your sides
  • \bold{-2\times\frac{-1}{2}\leq-2\times5}
  • \bold{Cancel \ out:2\times\frac{-1}{2}y \ because \ it \ equal \ 1}
  • \bold{Keep: -2\times5 \ because \ it \ helps \ us \ find \ our \ answer}
  • \bold{-2\times5=-10}
  • \boxed{\boxed{\bold{Answer:y\geq-10}}}\checkmark

Good luck on your assignment  and enjoy your day!

~\frak{LoveYourselfFirst:)}

<em />

4 0
3 years ago
Find the volume of the box in cubic inches.
LenKa [72]

。☆✼★ ━━━━━━━━━━━━━━━  ☾

1 foot is 12 inches

Thus 2 feet is 24 inches

Substitute values into equation:

volume = 24 x 24 x 24

volume = 13824

Your answer is option D

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

。☆✼★ ━━━━━━━━━━━━━━━━  ☾

3 0
3 years ago
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