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lesya692 [45]
2 years ago
9

What are the types of roots of the equation below?x^4 - 81 = 0​

Mathematics
1 answer:
natali 33 [55]2 years ago
4 0

Answer:

x^4 - 81 = 0  

(x² - 9)(x² + 9) = 0  

Notice that the first of these is itself a difference of two squares:  

(x - 3)(x + 3)(x² + 9) = 0  

So the solutions are x = 3, x = -3, x = 3i, x = -3i

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The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
WINSTONCH [101]
So all you need to do if find the min of the function:

f(x)=0.04x^3-4x^2-176x
f'(x)=0.12x^2-8x-176
The only zero for this is x=84.105 <---first
Plug this into f(x) to get f(84.105)=-19300 <---second
4 0
3 years ago
Opposite sides of a rectangle must be parallel true or false
shtirl [24]
Yes it does have to be parallel or else it would not be a rectangle.So it is true.

Hope this helped! :)
6 0
3 years ago
4.6.3 Test (CST): Linear Equations
inn [45]

The slope of the green line if the lines are perpendicular is -1/4

<h3>Perpendicular lines</h3>

For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.

Given the following

Slope of red line = 4

According the definition

4m2 = -1

m2 = -1/4

Hence the slope of the green line if the lines are perpendicular is -1/4

Learn more on perpendicular lines here: brainly.com/question/1202004

#SPJ1

5 0
1 year ago
Which expression is equivalent to (5x^5)(4x)^3​
Oliga [24]

Answer:

5x. 5x. 5x. 5x. 5x. 4x. 4x. 4x

Step-by-step explanation:

Just seperate all of the numbers out. Because 5x is raised to the fifth it is being multiplied by itself 5 times, the same goes for 4.

6 0
3 years ago
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
2 years ago
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