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ruslelena [56]
3 years ago
13

Since 1 inch is equal to 2.45 centimeters what does 1 centimeter equal in inches?

Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

0.393701

Step-by-step explanation:

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Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0
3 years ago
What number is 35% of 22?
Naily [24]
The answer is 7.7 that is the answer

8 0
3 years ago
Read 2 more answers
Roblem #7
gtnhenbr [62]

Answer:

no solution.

Step-by-step explanation:

1) in order to explain, the given system should be resolved:
\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.

2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.

3 0
2 years ago
Consider the sets A = fa; b; c; ; ; ; 1; 2; 3g, B = f ; ; ; ; ; g , C = f1; 2; 3; 4; 5; 6g and D = fa; b; cg. (a) List the eleme
Ilya [14]

Answer:

hsad

Step-by-step explanation:

4 0
3 years ago
The number 75 is increased to 79. What is the percentage by which the number was increased
pickupchik [31]

Answer:

105.3%

Step-by-step explanation:

i use the is over of method so:

\frac{79}{75} = \frac{x}{100}, multiply 79 x 100, then divide by 75.

6 0
2 years ago
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