K to the power of negative 2 multiplied by 2

9514 1404 393

Answer:

  (x, y, z) = (-9, -1, 8)

Step-by-step explanation:

My calculator tells me the reduced row-echelon form of ...

  [tex]\left[\begin{array}{ccc|c}-3&-2&-3&5\\1&2&-1&-19\\-2&1&-2&1\end{array}\right][/tex]

is ...

  [tex]\left[\begin{array}{ccc|c}1&0&0&-9\\0&1&0&-1\\0&0&1&8\end{array}\right][/tex]

This means the solution is (x, y, z) = (-9, -1, 8).

_____

Additional comment

In case you haven't learned how to use your graphing calculator to solve matrix equations, you can solve this system easily as follows:

Subtract 2 times the first equation from 3 times the third equation. This eliminates the x and z terms and gives you the value of y. (y=-1)

Substitute that value into the first and second equations. This gives you two equations in the sum and difference of x and z. (You may need to divide the coefficients by the common factor.) Add these sum and difference equations to find one of the variables, then substitute to find the other.

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

800.10

Step-by-step explanation:

every part after than and is behind a decimal point.

Answer:

1

Step-by-step explanation:

-5 +6=1 jsjenejsnsjwjjwwj

(-5) + 6 = "1'

Let me know if its wrong.

Answer:

A:-18

B:-20

C:18

Step-by-step explanation:

Answer: not much help i can barley see the paper

Step-by-step explanation:

Answer:

y=52x+b.

Step-by-step explanation:

since point (2,1) satisfies the equation.

Answer:

Exact form = 476/135

Decimal form = 3.5259

Mixed Number form = 3 71/135

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hope this helps. Please mark as brainlist

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

Answer:

F = 15.625

Step-by-step explanation:

This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.

To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.

Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.

At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.

I have attached a photograph of this calculation written down.

Answer:

2(w+4)

Step-by-step explanation:

2w+8

=2(w+4) -> factoring by grouping

Answer:

[tex]y = \frac{1}{5} x - 9[/tex]

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope [tex]= \frac{rise}{run}[/tex].  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).

Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:

[tex]y = \frac{1}{5} x - 9[/tex]

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

Answer:

324

Step-by-step explanation:

- 6 × - 54 = 324

Note : -

When a negative number multiplied with another negative number, its result is a positive number.

Answer:

[tex]{ \tt{ \hookrightarrow \: 5y = 5x - 10}}[/tex]

• divide the whole equation by 5

[tex]{ \tt{ \frac{5y}{5} = \frac{5x}{5} - \frac{10}{5} }} \\ \\ { \boxed{ \rm{y = x - 2}}}[/tex]

Answer:

so here the value.

y =5 and. 10 = x

so the value of x is 10

and value of 5 is y

the answer is 33 because 3+3=6*10-35+2

Answer:

t and the tree is the relationship of

A brick of himalayan salt measures 20 x 10 x 4 and weighs 1 kg and 600 gs. then the density will be; 0.002 kg/cubic unit.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing. Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

d = m/v

Given that a brick of himalayan salt measures 20 x 10 x 4 and weighs 1 kg and 600 gs.

Density = Mass / Volume

Density = 1.6 kg / 20 x 10 x 4

= 0.002 kg/cubic unit.

Learn more about mass, volume and density relation here:

https://brainly.com/question/952755

#SPJ2

Answer:

-3/y+3 +1/-2y

x-2>3

9(-10-10y)

The question is an illustration of solving equations using estimates.

The student's strategy makes sense because he uses estimation to solve the given equation

The correct sequence of equation is as follows:

We have:

[tex]\mathbf{159 - 73}[/tex]

Add 0 to the equation

[tex]\mathbf{159 - 73 =159 + 0- 73}[/tex]

Express 0 as 1 - 1

[tex]\mathbf{159 - 73 =159 + 1 - 1- 73}[/tex]

[tex]\mathbf{159 - 73 =160 - 1- 73}[/tex]

Add another 0

[tex]\mathbf{159 - 73 =160 - 1- 73 + 0}[/tex]

Express 0 as 3 - 3

[tex]\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}[/tex]

[tex]\mathbf{159 - 73 =160 - 1- 70 - 3}[/tex]

Rewrite as:

[tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]

Solve

[tex]\mathbf{159 - 73 =90- 4}[/tex]

[tex]\mathbf{159 - 73 =86}[/tex]

Read more about estimation and equations at:

https://brainly.com/question/18454732

For this derivative, you could set

[tex]\boxed{u = x^2 - 4x}[/tex]

Then

[tex]y = \sin(x^2-4x) = \sin(u)[/tex]

so that

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}[/tex]

and

[tex]\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}[/tex]

Then the chain rule gives

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}[/tex]

Answer:

FVRF

Step-by-step explanation:

Answer:

$440

Step-by-step explanation:

100%-25%=75%

75%=330

1%=330÷75=4.4

100%=100x4.4=440

Hope this helps! Thanks.

Answer:

225

Step-by-step explanation:

(90000÷325)×65=18000

18000÷80=225

reading rate of 225 words per minutes

Answer:

8

Step-by-step explanation:

a triangle for each side

Answer:

The slope of (1,-11) should be 3 and the slope of (-2,-4) should be 0

Step-by-step explanation:

Actually im unsure please dont use this I thought I knew!

Answer:

See below.

Step-by-step explanation:

a.

O is the origin, so its abscissa is 0. O: 0

The only point 4 units from O is A, so A: 4

Point C has a positive abscissa like A.

Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.

B: -3

C: 3

D: -4.5

E: -6

M = (4 + (-6))/2 = -1. M: -1

b.

OB = |0 - (-3)| = |3| = 3

DA = |-4.5 - 4| = |-8.5| = 8.5

Answer:

c. 270m^3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

6×5×9

30×9

270