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denis-greek [22]
4 years ago
9

Which expression results from using the Distributive Property of Multiplication over Addition to simplify

Mathematics
1 answer:
siniylev [52]4 years ago
5 0
The answer to this problem is C
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A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals25minusxsquared. What are
Karolina [17]

Answer:

The answer is "\bold{\frac{32}{3}}\\"

Step-by-step explanation:

The rectangle should also be symmetrical to it because of the symmetry to the y-axis  The pole of the y-axis.  Its lower two vertices are (-x,0). it means that  

and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:  

The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).  

The area of the rectangle:

A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3

The local extremes of this function are where the first derivative is 0:

A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\

Simply ignore the negative root because we need a positive length calculation

It wants a maximum, this we want to see if the second derivative's profit at the end is negative.

A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}

8 0
3 years ago
Please HELP ME FUGURE OUT 15X27 STEP BY STEP
storchak [24]

15×27=405

405 is your answer


4 0
3 years ago
Evaluate x(y+3)/(3+y)z for x = 2, y = 5, and z = 1.
lesya [120]

Answer:

2

Step-by-step explanation:

hope this helps

8 0
2 years ago
Read 2 more answers
Which costs more per notebook, a 4-pack of notebooks for $3.98 or a 5-pack of notebooks for $4.99? Explain
avanturin [10]

Answer:

5 pack notebook

Step-by-step explanation:

5 pack notebook costs more because the 4 pack notebook costs 4 dollars w/ 2 cents off, and 5 pack notebook costs 5 dollars and with 1 cent of, so if ir increase by 1 dollar, than probably the 5 pack costs more. It is not about how many, but how much dollars are for per/ notebook.

7 0
4 years ago
What is 3.1 as a mixed fraction in simplest form
zmey [24]
The word form of 3.1 is three and one tenth. "Three and one tenth" could also be a mixed number, so all we do is get the mixed number "three and one tenth":
3 \frac{1}{10}
3 0
4 years ago
Read 2 more answers
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