Answer: 
On a keyboard you would type sqrt(41)
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Work Shown:
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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.
The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.
The distance formula is an altered version of the Pythagorean theorem.
The general solution of the given higher-order differential equation. y''' − 9y'' 15y' 25y = 0 is Y= c1e^-x +c2e^5x + c3xe^5x
m^3 -9m^2+15m+25=0
Possible rational roots = 1,-1,5,-5,25
Now on putting these possible rational roots which have been found by the discriminant and hit and trial method,
we will check these roots.
m=-1 comes out to be a root of the equation.
m^2-10m+25=0
(m-5)(m+5)=0
(m-5)^2=0
m=5
So the general equation comes out to be
Y= c1e^-x +c2e^5x + c3xe^5x
For more information about differential equations, visit
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5.815 + 6.021 = 11.836. You can use a calculator for that. The calculator will also give you the fraction- 2959/250. Since the whole number at the beginning is 11, that is the number at the start of your mixed number. You times 11 by 250 to get what that part is (this will not be used in your answer) to get 2750. 2959-2750 is 209. This means that the top part of the fraction is 209 and the bottom part is 250. The answer is 8 209/250
Answer:
yes, It is a right triangle
Step-by-step explanation:
