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chubhunter [2.5K]
3 years ago
6

A rectangle has a length of 5.50 m and a width of 12.0 m. What are the perimeter and area of this rectangle?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0
Length = 5.50 m
width = 12.0 m

Perimeter = 2(length + width) = 2(5.5 + 12) = 2(17.5) = 35 m
Area = length * width = 5.50 * 12.0 = 66 m^2
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Plss help me TT
Marina CMI [18]

a. There are 0 or 2 real positive roots for the equation and

b. There are 0 or 2 real negative roots for the equation.

<h3>What is the Descartes'rule of sign?</h3>

Descartes' rule of sign states that

  • The number of real positive zero of a polynomial f(x) is the number of sign changes of the coefficients of f(x) or an even number less than the number of sign changes of the coefficients of f(x)
  • The number of real negative zero of a polynomial f(x) is the number of sign changes of the coefficients of f(-x) or an even number less than the number of sign changes of the coefficients of f(-x)

<h3>How to find the number of possible positive and negative roots are there for the equation?</h3>

Given the equation 0 = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1, writing it as a polynomial function, we have f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

<h3>a. The number of positive roots</h3>

So, to find the number of positive roots, we find the number of sign changes of the polynomial f(x).

So, f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

Since f(x) has coefficients -8, -2, + 8, -4, -1, there are two sign changes from -2 to + 8 and from + 8 to -4.

So, there are 2 or 2 - 2 = 0 real positive roots.

So, there are 0 or 2 real positive roots for the equation.

<h3>b. The number of negative roots</h3>

So, to find the number of negative roots, we find the number of sign changes of the polynomial f(-x).

So, f(-x) = −8(-x)¹⁰ − 2(-x)⁷ + 8(-x)⁴ − 4(-x)² − 1

= −8x¹⁰ + 2x⁷ + 8x⁴ − 4x² − 1

Since f(x) has coefficients -8, +2, + 8, -4, -1, there are two sign changes from -8 to + 2 and from + 8 to -4.

So, there are 2 or 2 - 2 = 0 real negative roots.

So, there are 0 or 2 real negative roots for the equation.

So,

  • There are 0 or 2 real positive roots for the equation and
  • There are 0 or 2 real negative roots for the equation.

Learn more about Descartes' rule of sign here:

brainly.com/question/28487633

#SPJ1

8 0
1 year ago
(x-4)2 + 3x at the value x = 7
Volgvan

Answer:

30

Step-by-step explanation:

x = 7

( x - 4 )^2 + 3x

= ( 7 - 4 )^2 + 3 ( 7 )

= 3^2 + 21

= 9 + 21

= 30

6 0
2 years ago
Read 2 more answers
What is the sum of (2x - 5y) and (x + y)?
seraphim [82]

Answer:

3x-4y

Step-by-step explanation:

combine like terms. 2x+x=3x.

-5y+y=-4y

6 0
3 years ago
Z = m + x solve for x
jenyasd209 [6]

Answer:

wat

Step-by-step explanation:

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White raven [17]

Answer:

A

Step-by-step explanation:

Cylinder volume= V = π r ^2 h

So you times Pie by the radius (diametre divided by two- 3.5) you then square this. After that, times it by the height (10)

So the volume is 384.85.

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You then get an answer of 115.455, and this is equal to A.

I hope this helps, have a lovely day.

5 0
2 years ago
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