All categories

3 years ago

What is the determinant of m= {5 8 -5 4} ? 20 40 60 80

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

Step-by-step explanation:

We have been given the matrix;

$\left[\begin{array}{ccc}5&8\\-5&4\end{array}\right]$

For a 2-by-2 matrix, the determinant is calculated as;

( product of elements in the leading diagonal) - (product of elements in the other diagonal)

determinant = ( 5*4) - (8*-5)

= 20 - (-40) = 60

You might be interested in

Please please help me!!!! :)

kifflom [539]

Answer:

Measure of ∠5 is 142°

Step-by-step explanation:

We are given that, Lines L and M are parallel.

As, the third line is intersecting both line L and M.

<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>

Since, the sum of the four angles formed by the third line and M is 360°.

So, we get,

∠1 + ∠6 + ∠7 + 38 = 360°

i.e. 2∠1 + 2×38° = 360°

i.e. 2∠1 = 360° - 76°

i.e. 2∠1 = 284°

i.e. ∠1 = 142°

Thus, ∠1 = ∠7 = 142°

Since, L and M are parallel.

So, ∠3 = ∠5 = 142°

Hence, we get that measure of ∠5 is 142°.

3 0

3 years ago

Choose 2 hellllpppppp plzzzxxxxzz

diamong [38]

Answer:

Choices C and D

Step-by-step explanation:

The most simplest way is just to solve each one and see which two have the same answer as the first expression.

But you could also see that both of the $\frac{4}{7}$ are going to cancel each other out so you are left with $-\frac{8}{9} +\frac{9}{8}$ which is also choice C.

For choice D I distributed the negative one to the insides of the parenthesis that left me with $-\frac{4}{7}-\frac{8}{9}+\frac{4}{7} +\frac{9}{8}$ which is the same expression as the first one.

5 0

3 years ago

Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf of bread is $2.00. He has $8.00 to spend

Anestetic [448]

Answer:

Isaac has $4.80 left

Step-by-step explanation:

$1.20 + 2.00 = 3.20

$8.00 - 3.20 = 4.80

4 0

3 years ago

Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k

Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0

3 years ago

What is lemma?<br> ________________<br> Thx!

german

A subsidiary or intermediate theorem in an argument or proof.
Source: Wikipedia

5 0

3 years ago

Read 2 more answers