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svlad2 [7]
3 years ago
7

44 - (3c + 4) = 2(c + 5) + c

Mathematics
2 answers:
Alla [95]3 years ago
4 0

Answer : 5

Process : up up

yawa3891 [41]3 years ago
3 0

Answer:

19/3

Step-by-step explanation:

44 - 3c + 4 = 2c + 10 + c

-2c - 3c -c = - 44 - 4 + 10

-6c = -38

c = 6/1/3 or 19/3

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Which of the following sets of data would you likely represent with a square matrix?
n200080 [17]

Answer:

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

Step-by-step explanation:

A square matrix is where the number of rows is equal to the number of columns like order 2x2, 3x3, 4x4, 5x5 etc.

Given options are:-

A) A shoe salesperson wants to use an augmented matrix to represent the quantity of children’s shoes and adult shoes sold at his store for two days.

It is 2x2 times 2x1 = 2x1 matrix.

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

It is 6x1 times 1x6 = 6x6 matrix.

C) A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.

It is 2x3 times 3x1 = 2x1 matrix

D) A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.

It is 4x4 times 4x1 = 4x1 matrix.

Hence option B is correct.

7 0
3 years ago
Read 2 more answers
Write an<br> equation of the line that passes through each pair of points.<br> (-3,9), (-3,-5)
fgiga [73]

Answer:

since slope(m) = y2 -y1/x2- x1

-5 - 9/ -3 - (-3)= -14/0

m = -14/0 (undefined)

using the formula

y-y1 = m(x -x1)

y - 9 = -14/0(x - (-3)

y-9 = -14/0(x + 3)

0 = -14( x+3). (cross multiplication)

0 = -14x - 42

14x = -42

x = -3( equation of the line)

7 0
2 years ago
What number do I subtract each time?
tiny-mole [99]
Subtract 1 because the number is going down by one
4 0
3 years ago
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Solve the matrix and prove that it is equal 0​
Art [367]

Step-by-step explanation:

\underline{ \underline{ \text{Given}}}  :

  • \tt{ {A}^{T}  = \begin{bmatrix} 2 &  - 4 \\ 4 & 3 \\ \end{bmatrix}}

\underline{ \underline { \text{To \: Find}}} :

  • \sf{ {A}^{2}  - 5A+ 22I= 0}

\underline{ \underline{ \text{Solution}}} :

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}. Again , Interchange it's rows and columns in order to find ' A '.

\tt{A = \begin{bmatrix} 2 &  4 \\  - 4 & 3 \\ \end{bmatrix}}

Now , LEFT HAND SIDE ( L.H.S )

\tt{ {A}^{2}  - 5A+ 22I}

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ \begin{bmatrix} 2 &   4 \\  - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 &  4 \\ -  4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 &   4 \\  - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 &   0 \\  0 & 1\\ \end{bmatrix}

⟼ \begin{bmatrix} 2  \times 2 + 4 \times ( - 4)&   2  \times 4 + 4 \times 3 \\  - 4 \times 2 + 3 \times ( - 4) &  - 4  \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 &   20 \\   - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 &   0 \\  0 & 22 \\ \end{bmatrix}

⟼ \begin{bmatrix} 4 + ( - 16) &   8 + 12 \\   - 8 + ( - 12) &  - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 &   20 \\   - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 &   0 \\  0 & 22 \\ \end{bmatrix}

⟼ \begin{bmatrix} - 12 &   20\\  - 20&  - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 &   20 \\   - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 &   0 \\  0 & 22 \\ \end{bmatrix}

⟼ \begin{bmatrix}  - 22 &   0 \\  0&  - 22 \\ \end{bmatrix}  + \begin{bmatrix} 22 &   0 \\  0 & 22 \\ \end{bmatrix}

⟼ \begin{bmatrix}  - 22 + 22 &   0 + 0 \\  0 + 0 &  - 22  + 22 \\ \end{bmatrix}

⟼ \begin{bmatrix} 0 &   0\\  0 & 0 \\ \end{bmatrix}

⟼ \sf{0}

RIGHT HAND SIDE ( R.H.S ) : 0

L.H.S = R.H.S [ Hence , proved ! ]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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4 0
3 years ago
How many hours are in 186 minutes explained in as a mixed number or decimal
slavikrds [6]
There are 60 minutes in 1 hour

and 186 divided by 60 = 3 remainder 6
which means you have 3 hours and 6 minutes

that will get you the mixed fraction of
3 6/60 which can be simplified to
3 1/10
7 0
3 years ago
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