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ra1l [238]
4 years ago
10

A is a 3x3 matrix with det(A) = 4. Find det(adj(A)).

Mathematics
1 answer:
iris [78.8K]4 years ago
8 0

Answer:

The value of det(adj(A)) is 16.

Step-by-step explanation:

It is given that A is a 3x3 matrix with det(A) = 4.

We need to find the value of det(adj(A)).

We have a formula

det(adj(A))=(det(A))^{n-1}

where, n is order of the square matrix.

Substitute det(A) = 4 and n=3 in the above formula.

det(adj(A))=(4)^{3-1}

det(adj(A))=(4)^{2}

det(adj(A))=16

Therefore, the value of det(adj(A)) is 16.

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What method would be best to use 53=4(x-3)^2-11
Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

<u>SOLUTION :-</u>

4(x-3)^2-11 = 53

  • Add 11 to both the sides.

=> 4(x-3)^2-11+11=53+11

=> 4(x-3)^2 = 64

  • Divide both the sides by 4.

=> \frac{4(x-3)^2}{4} = \frac{64}{4}

=> (x-3)^2 = 16

  • Root square both the sides.

=> \sqrt{(x-3)^2} = \sqrt{16}

=> x-3 = +4 \; or -4

Here , x will have two values -

1) x-3 = 4

=> x = 4 + 3 = 7

2) x - 3 = -4

=> x = -4 + 3 = -1

<u>VERIFICATION :-</u>

When x = 7 ,

4(x-3)^2 - 11 = 4(7 - 3)^2 - 11

                       = 4 \times 4^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

When x = -1 ,

4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11

                       = 4 \times (-4)^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

7 0
3 years ago
Totally blanking on how medians work
Elis [28]
<h3>Answer: FC = 16</h3>

===============================================

The three medians of this triangle are:

  • PF
  • RE
  • QD

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

5 0
3 years ago
Find the percent of change from 48 people to 71 people. Round to the nearest tenth of a percent if necessary.
kondaur [170]

Step-by-step explanation:

Here, the number of people has beed increased.

→ Number of people increased = 71 - 48

→ Number of people increased = 23

\to \% \: change =  \left ( \dfrac{23}{71}  \times 100 \right )  \: \% \\

\to \% \: change =  \left ( \dfrac{2300}{71}   \right )  \: \% \\

\red{ \to \% \: change =  32.39  \: \%} \\

Therefore, percentage change is 32.39 %.

4 0
3 years ago
What is the domain in the graph
masya89 [10]
There isn’t a graph shown
4 0
3 years ago
The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use. 0.05m + 12 Wha
inn [45]

Answer:

The constant in the expression is 12

Step-by-step explanation:

The constant of the expression is the value that is independent of the number of minutes Janelle uses. The expression can  be written as :

f(m)=0.05m +12

Example if m is 1 or 2

f(1) = 0.05(1) +12 = 12.05

f(2= = 0.05*2 +12 =0.1 +12 = 12.1

The value 12 is the minimum price of the bill indepent of the consumption of minutes of Janelle. She will always be charged this value.

8 0
4 years ago
Read 2 more answers
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