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3 years ago

How can you tell if a formula represents Length, an Area, or Volume? What do you look for in the formula?

Mathematics

1 answer:

Karolina [17]3 years ago

7 0

Answer:

You can tell when a formula represents each of these by the number of dimensions that are multiplied in the calculation.

Ex:

d = 2r (this would only involve multiplying by one dimension, therefore it is a length)

A = bh (this involves multiplying 2 dimensions, giving a measurement of area)

V = lwh (this involves multiplying 3 dimensions, giving a measurement of volume)

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Using these complex zeros (1,1,-1/2,2+i,2-i) factor f(x)=-2x^5 +11x^4 -22x^3 +14x^2 +4x -5

Marianna [84]

$\bf \begin{cases}
x=1\implies &x-1=0\\
x=1\implies &x-1=0\\
x=-\frac{1}{2}\implies 2x=-1\implies &2x+1=0\\
x=2+i\implies &x-2-i=0\\
x=2-i\implies &x-2+i=0
\end{cases}
\\\\\\
(x-1)(x-1)(2x+1)(x-2-i)(x-2+i)=\stackrel{original~polynomial}{0}
\\\\\\
(x-1)^2(2x+1)~\stackrel{\textit{difference of squares}}{[(x-2)-(i)][(x-2)+(i)]}$

$\bf (x^2-2x+1)(2x+1)~[(x-2)^2-(i)^2]
\\\\\\
(x^2-2x+1)(2x+1)~[(x^2-4x+4)-(-1)]
\\\\\\
(x^2-2x+1)(2x+1)~[(x^2-4x+4)+1]
\\\\\\
(x^2-2x+1)(2x+1)~[x^2-4x+5]
\\\\\\
(x^2-2x+1)(2x+1)(x^2-4x+5)$

of course, you can always use (x-1)(x-1)(2x+1)(x²-4x+5) as well.

7 0

3 years ago

The circumference of C is 72 cm. What is the length of (the minor arc)? A. 90 cm B. 10 cm C. 45 cm D. 8 cm E. 9 cm F. 7.2 cm

dangina [55]

Answer:

e. 9cm

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

lana66690 [7]

Answer:

(1,1)

Step-by-step explanation:

3 0

3 years ago

7. A baseball has a radius of 2 inches. What is the volume in cubic inches of

Sever21 [200]

Answer:

33.49

Step-by-step explanation:

Volume of a sphere formula= 4/3πr^3

Radius= 2

Plug the radius into the formula to get your answer.

8 0

3 years ago

What is the slope of the line that passes through the points (2,7) and (8,-5)

Nookie1986 [14]

Answer:

m = -12 / 6 = -2 / 1 = -2

So its -2

3 0

3 years ago