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Maurinko [17]
4 years ago
8

Does a sheet of paper accurately represent a plane?

Mathematics
1 answer:
LiRa [457]4 years ago
6 0
Yessssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

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For which values of c does the following polynomial have two complex roots? X^2+4x+C
Grace [21]

For this case we have that by definition, the discriminant of a quadratic expression is given by:

d = b ^ 2-4 (a) (c)

If the discriminant is less than zero then the expression has two different complex roots.

In this case we have the following expression:

x ^ 2 + 4x + c

So we have to:

a = 1\\b = 4\\c = c\\

The discriminant is given by:

d = 4 ^ 2-4 (1) (c)\\d = 16-4c

Then, if we want two complex roots it must be fulfilled that:

16-4c

Thus, the expression has two complex roots for all values greater than 4.

ANswer:

c> 4

5 0
3 years ago
The population of a city is 50,000. It is increasing at an annual rate of 3%. What is the
vlada-n [284]
The population will be 56,275 people.
You can see the picture for the formula.

3 0
3 years ago
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The area of a parallelogram is 96 cm2. The height of the parallelogram is 4 cm less than the length of the base. What is the len
Valentin [98]
96/4=24 so the length of a standerd paralleegram is 24
4 0
3 years ago
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What is the value of x to the nearest degree?
Marrrta [24]

Answer:

Step-by-step explanation:

This is right triangle trig.  The side opposite the x is 8, and the side adjacent to the x is 5.  The tangent ratio uses those sides.  We need to find what angle has a tangent of 8/5.  To do this, make sure your calculator is in degree mode.  Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis.  Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946.  Rounded to the nearest degree this is 58 degrees.  That's your answer!

8 0
4 years ago
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When the factors of a trinomial are (x+ p) and (x + q) then the coefficient of the x-term in the trinomial is:
Eva8 [605]
The coefficient of x in this case is 1. (x*x = x^2)
4 0
3 years ago
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