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2 years ago

Nonsense will be reported!!

Mathematics

1 answer:

Ainat [17]2 years ago

8 0

[8] The hypotenuses must be congruent, DE and IJ

HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.

Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.

[9] Another leg, AC and YX

LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.

[10] A leg, DE and E? or FE and E?

LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.

-> The question marks are because the letters are too blurry to read.

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HELP PLEASE!!!

alexira [117]

Answer:

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Step-by-step explanation:

Step 1:

Multiple 14.1 by 9 = 126.9

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3 years ago

Read 2 more answers

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of th

Aliun [14]

Answer:

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

$A=\left[\begin{array}{ccc}-3&0&1\\2&-4&2\\-3&-2&1\end{array}\right]$

to find the eigenvalues of the matrix you use the following:

$det(A-\lambda I)=0$

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

$A-\lambda I=\left[\begin{array}{ccc}-3-\lambda&0&1\\2&-4-\lambda&2\\-3&-2&1-\lambda\end{array}\right]$

and by taking the determinant:

$[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-\lambda)+(2)(-2)(-3-\lambda)]=0\\\\-\lambda^3-6\lambda^2-12\lambda-16=0$

and the roots of this polynomial is:

$\lambda_1=-4\\\\\lambda_2=-1+i\sqrt{3}\\\\\lambda_3=-1-i\sqrt{3}$

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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2 years ago

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kozerog [31]

Answer:

m>DEF=m

Step-by-step explanation:

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3 years ago

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Archy [21]

Answer:

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Step-by-step explanation:

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3 years ago

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Svetlanka [38]

1. First you need to understand that 36 seconds is 1/100 of a mile.
2. An elephant can run 0.25 miles (1/4 of a mile) in 1/100 of a hour.
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5 0

3 years ago

Nonsense will be reported!!​

Nonsense will be reported!!