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3 years ago

√24 + √150 ? What is equivalent?

Mathematics

1 answer:

Mars2501 [29]3 years ago

5 0

Answer:

I hope this helps. Have a great rest of your day!

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Find the solution of the given simultaneous equations y = 2x - 3 3x - 2y = 4

topjm [15]

Answer:

Step-by-step explanation:

x+3y=1

3 0

2 years ago

Read 2 more answers

Find the? inverse, if it? exists, for the given matrix. [4 3] [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

3 years ago

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi

pentagon [3]

Answer:

9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

For the Post of President:

The number of available options to choose a president = 22 options

For the Post of Secretary:

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21 options

For the Post of Treasurer:

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

4 0

3 years ago

Plzzzzzz help I am going to fail unless I get the answer. Brainly says my answer will be answered right away I have had these up

mina [271]

Answer:

I think it's 6?

7 0

2 years ago

1/2x+5=1/3x what do you multiply the equation by in order to get rid of the fractions in the problem

earnstyle [38]

Answer:

we should multiply by 6 to get rid of the fractions in problem

6 0

3 years ago