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3 years ago

The expression 5x is equivalent to the expression x5. O A. True B. False

Mathematics

1 answer:

aksik [14]3 years ago

3 0

Step-by-step explanation:

True because.

5× means 5 times x = 5*×

×5 means × times 5 = ×*5

it is the same

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Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago

Just to make sure, does this make sense?

Bogdan [553]

Answer:

It makes sense to me but I don't know if anyone else agrees

Step-by-step explanation:

4 0

2 years ago

Triangle ABC has side lengths: AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm ΔABC ≅ ΔHJK What is the length of side HJ?

Licemer1 [7]

For this you'll want to draw out Triangle ABC and label it as the problem gives you.

Draw a similar triangle to the first one you drew and label it the exact same way as "ABC" and then match the measurement "AB" to "HJ".

Hope this helps.

4 1

3 years ago

Với giá trị nào của r và s thì hạng của A bằng 2

Norma-Jean [14]

Answer:

Please explain it in English

6 0

2 years ago

John goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon on the cost of the meal. The tax is 8%. He leaves a

Nimfa-mama [501]

Answer:

$37.52

Step-by-step explanation:

4 0

3 years ago