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SpyIntel [72]
3 years ago
7

What is the determinant of B? A. −27 B. −30 C. 30 D. –6

Mathematics
2 answers:
Fudgin [204]3 years ago
8 0

Answer:

Step-by-step explanation:

tiny-mole [99]3 years ago
6 0

Answer:

Answer B:  -30

Step-by-step explanation:

Let B be as follows:

[-18 3]

[4    1 ]


To find the determinant, multiply diagonally <em>downward</em> from -18 through 1, obtaining -18.  We keep this sign as is.

Continue:  Start at 4 and move diagonally <em>upward</em> through 3; this product is 12. Because we moved upward, give this result the opposite sign:  -12.

Now add together these two products; that is, add together -18 and -12.  Here the sum is -30.  This is the determinant of the matrix.  It's Answer B.

Finding the determinant of a 3x3 matrix obviously requires more steps, but the general approach is similar.

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What is the value of "c" in the following quadratic? (Make sure the equation is in
garri49 [273]

               \rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}

           <em>What is the value of c in the quadratic </em>\large\text{$x^2+28=-11x$}?

          \rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

           Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding \large\textit{11x} on both sides:-

\large\text{$x^2+28-11x=0$}

We can switch the order of 28 and -11x:-

\large\text{$x^2-11x+28=0$}

  Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

  •  \large\text{$ax^2+bx+c=0$}

Now we can just write our <u>quadratic</u> here:-

  • \large\text{$x^2-11x+28=0$}

Now, can you see what the value of "c" is?

An easy way to <u>remember</u> "c" in quadratics is:-

The "c" in quadratics is the constant.

   

Henceforth, we conclude that the value of "c" in the given quadratic is:-

 \Large\textbf{28}\Large\checkmark

<h3>         Good luck with your studies.</h3>

        \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}    

5 0
2 years ago
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