All categories

3 years ago

Evaluate the determinant for the following matrix: [-5 1, 1 4]

2 answers:

4 0

The matrix given is $\left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]$

To find determinant $\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]$ we do $ad-bc$

So, the determinant of the given matrix is
$(-5)(4)-(1)(4) = -20 - 4 = -24$

nalin [4]3 years ago

3 0

Answer: -24

Step-by-step explanation:

You might be interested in

Find the solutions of (x – 4)(x – 4) = 0.

lisabon 2012 [21]

Answer:

Step-by-step explanation:

(x – 4)(x – 4) = 0.

So factor are x-4=0

X=4 (D) is the answer

7 0

3 years ago

Help me out ?<<<<<<<<<<<

Advocard [28]

It would be J because the radius is 6 inches and the radius is only starting from the edge to the middle not fully across it can be confusing. Hope that helped!

7 0

3 years ago

What is 120.571 in expanded form?

borishaifa [10]

The expanded form would be 100.000 +20.000+0.000+.500+.070+.001

5 0

3 years ago

Read 2 more answers

BD bisects m m Find m

amm1812

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

$m\angle ABC = 77.2^\circ$

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

$m\angle ABD=m\angle CBD$

Substituting the algebraic expressions for both angles:

$2.5x + 8.6=3.5x - 3.4$

Subtracting 8.6 and 3.5x:

$2.5x - 3.5x = -8.6 - 3.4$

Operating:

$-x = -12$

$x = 12$

The two angles are:

$m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ$

$m\angle CBD=3.5x - 3.4 = 38.6^\circ$

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

$m\angle ABC = 2*38.6^\circ=77.2^\circ$

$\mathbf{m\angle ABC = 77.2^\circ}$

6 0

3 years ago

A magician is performing for an audience of 32 men and 20 women. He selects a volunteer from the audience, has the volunteer sta

statuscvo [17]

32+20=52 so there are 52 people in all.
32/52 people are men.
we now have to subtract 1 from this fraction like so 32-1/52-1 since the magician took away 1 man from the audience (therefore reducing the amount of men as well as the audience as a whole) resulting in 31/51
we multiply 32/52 with 31/51 to get 248/663. simply turn this fraction into a percent by multiplying the quotient by 100 and rounding it to the nearest tenth to get 37.4%

6 0

3 years ago