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hichkok12 [17]
3 years ago
13

If a polynomial with real coefficients is of degree 3. Can we say there must be at least 1 real root?

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

A polynomial of degree 3 has 3 linear factors… (1): (x - i ) (x + i ) (x + a) . If any 2 factors are conjugate as here first 2 factors are conjugate with complex roots. So at least one root should be real.

Step-by-step explanation:

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In the kite , AK=9 , JK=15 , and AM=16 .
Veronika [31]

Answer:

The Length of JM is 20.

Step-by-step explanation:

Given,

JKLM is a kite in which JL and KM are the diagonals that intersect at point A.

Length of AK = 9    

Length of JK = 15  

Length of AM = 16

Solution,

Since JKLM is a kite. And JL and KM are the diagonals.

And we know that the diagonals of a kite perpendicularly bisects each other.

So, JL ⊥ KM.

Therefore ΔJAK is aright angled triangle.

Now according to Pythagoras Theorem which states that;

"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".

JK^2=KA^2+AJ^2

On putting the values, we get;

(15)^2=9^2+AJ^2\\\\225=81+AJ^2\\\\AJ^2=225-81=144

On taking square root onboth side, we get;

\sqrt{AJ^2} =\sqrt{144}\\\\AJ=12

Again By Pythagoras Theorem,

AJ^2+AM^2=JM^2

On putting the values, we get;

JM^2=(12)^2+(16)^2\\\\JM^2=144+256=400

On taking square root onboth side, we get;

\sqrt {JM^2}=\sqrt{400}\\\\JM=20

Hence The Length of JM is 20.

4 0
3 years ago
A coffee pot holds 5 1/2 quartz of coffee. How much is his in cups?
pav-90 [236]
12 1/2 cups is equavelent
6 0
2 years ago
Distance between two points <br> (-5,5) and ( 3,-3)
stiks02 [169]

Answer:

8\sqrt{2}

Step-by-step explanation:

Using the pythagorean theorem, you can find that the distance between the two points is \sqrt{(3-(-5))^2+(5-(-3))^2}=\sqrt{128}=8\sqrt{2}. Hope this helps!

7 0
3 years ago
You deposit $10,000 in a money-market account that pays an annual interest rate of 4.4%. The interest is compounded quarterly. H
sergiy2304 [10]
Total = principal * (1 + rate/n)^n*years
where "n" is the number of compounding periods per year
Total = 10,000 * (1 + .044/4)^4*2
Total = 10,000 * (1<span>.011</span>)^8
<span><span>Total = 10,000 * 1.0914635699 </span>
</span><span><span>Total = </span> 10,914.64

</span> 
3 0
3 years ago
Which of the following has the greatest value <br>A)3³<br>B)5²<br>C)1¹⁰<br>D)2⁵​
Alecsey [184]

Answer:

A - Highest is 27

Step-by-step explanation:

***If you found this answer helpful please click the heart Icon and rate me 5 star, it would be nice if I got brainliest, thanks!***

7 0
3 years ago
Read 2 more answers
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