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3 years ago

A. Find the value of x that maximizes the area of the figure.

Mathematics

1 answer:

amm18123 years ago

5 0

Step-by-step explanation:

the area is

$A=\frac{(12+12-4x)(x+2)}{2}\\=2(6-x)(x+2)\\=-2x^2+8x+24\\=-2(x^2-4x+4)+32\\=-2(x-2)^2+32$

will max if

a. x = 2

and the max area is

b 32

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Answer:

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Step-by-step explanation:

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Read 2 more answers

Simplify the given expression below: (7-3i)•(2-i)

Dimas [21]

when multiplying two binomials together we use the F.O.I.L. method:

First

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(7-3i)(2-i)

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3 years ago

Form a polynomial function(x) with zeros: -2, multiplicity 1; 1, multiplicity 2; 5, multiplicity 3; and degree 6. Use 1 as the l

Citrus2011 [14]

Answer:

Remember, a number a is a zero of the polynomial p(x) if p(a)=0. And a has multiplicity n if the factor (x-a) appear n times in the factorization of p(x).

1. Since -2 is a zero with multiplicity 1, then (x+2) is a factor of the polynomial.

2. Since 1 is a zero with multiplicity 2, then (x-1) is a factor of the polynomial and appear 2 times.

3. Since 5 is a zero with multiplicity 3, then (x-5) is a factor of the polynomial and appear 3 times.

Then, the polynomial function with the zeros described above is

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3 years ago

This circle, with center point Q, has a radius of 10 centimeters. The length of the minor arc NP is 20.42 centimeters. To the ne

maxonik [38]

The complete question in the attached figure

we know that
[the length of a circumference]=2*pi*r
for r=10 cm
[the length of a circumference]=2*pi*10-----> 62.8 cm

if 360° ( full circle) has a length of---------> 62.8 cm
x--------------------------------------> 20.42 cm
X=20.42*360/62.8-----> x+117.05°-------> x=117°

the answer is
<span>the value of x is 117</span>°

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3 years ago