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ANEK [815]
3 years ago
5

Pablo wants to build a rectangle pen. Pablo only has 36 feet of fencing. What representative function can be used to model the a

rea of the rectangle pen as a function of the side length, x?
Mathematics
1 answer:
weqwewe [10]3 years ago
3 0
X=an+c equals the length of the side length
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Find the length of the missing side
faltersainse [42]

Answer:

c = 17

Step-by-step explanation:

Since this is a right angle triangle we can use the Pythagoras theorem that states that c^{2} = a^{2} + b^{2} (where c is the Solve for  hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....

c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17

6 0
3 years ago
(4x + 4)(ax – 1) – x2 +4
Oksana_A [137]

Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the x^{2} terms and the constant terms must be cancel out.

Simplify it first.

(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the x^{2} terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}

If we put a = ¼, then we can find the value of b:

=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\

=-3x

bx=-3x\\      if the  expression is equivalent to bx

Therefore, b = –3.

8 0
3 years ago
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
Basile [38]

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in <em>one </em>month you need to divide the total by the amount of months. 28.8/12 = 2.4

6 0
2 years ago
Can someone help me I don't know how to do it?Please and thank u<br> Expand - 2 (1 - 2x + 2)
Softa [21]
-2 + 4x - 4
= 4x-6
Make sure to distribute everything and then combine like terms.

Answer: 4x-6
5 0
3 years ago
Read 2 more answers
A chemist is using 362 milliliters of a solution of acid and water. If 12.1% of the solution is acid, how many milliliters of ac
PSYCHO15rus [73]

Answer:

The answer to your question is 43.8 mL of acid.

Step-by-step explanation:

Data

Total volume = 362 ml

12.1 % is acid

The Volume of acid = ?

Process

1.- Use the rule of three and cross multiplication to solve this problem.

               362 ml ------------------- 100%

                    x       -------------------  12.1 %

                    x = (12.1 x 362) / 100

                    x = 4380.2 / 100

                    x = 43.802 ml

2.- Round your answer to the nearest tenth.

                        43.802   only consider the first decimal

                        43.8 mL

3.- Conclusion

    A 12.1% solution of acid has 43.8 mL of acid.

6 0
3 years ago
Read 2 more answers
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