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Doss [256]
3 years ago
7

18a^2(c-8)÷27ab(c-8)​

Mathematics
1 answer:
Elis [28]3 years ago
5 0

Answer:

<h3>\frac{2a}{3a}</h3>

Step-by-step explanation:

18a ^{2} (c−8)÷27ab(c−8)

<h3>\frac{18a^{2} (c−8)}{27ab(c−8)}</h3><h3>\frac{2a^{2} (c−8)}{3ab(c−8)}</h3><h3>\frac{2a (c−8)}{3ab(c−8)}</h3><h3>\frac{2a}{3a}</h3><h3>Hope it is helpful....</h3>
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Can you help me please
notsponge [240]

9514 1404 393

Answer:

  1. reflection across the origin
  2. rotation 180° about the origin
  3. reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

__

The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

8 0
3 years ago
figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x
skad [1K]

Answer: x=21.75

Step-by-step explanation:

You need to convert from mixed number to decimal number.

In order to do this, you can follow the steps shown below:

1. You must divide the numerator of the fraction by the denominator of the fraction.

2. Now you must add the quotient obtained to the Whole number part.

Then, you get:

7\frac{1}{4}=7+0.25=7.25

Then, the scale image that maps "Figure A" onto "Figure B" is:

1:7.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by 7.25.

Therefore, the result is:

x=(3)(7.25)\\\\x=21.75

3 0
3 years ago
On the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2
sladkih [1.3K]

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation y=3x+2

We need to draw the graph of the equation.

Put x=0 in the above equation.

y=3(0)+2

y=2

The coordinate is (0,2).

Put y=0 in the given equation.

0=3x+2

-2=3x

x=\frac{-2}{3}

The coordinate is (\frac{-2}{3},0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

6 0
3 years ago
x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
A diver is 25 feet below sea level. After he swims up 15 feet toward the surface, what is his elevation?
Nataly [62]
The person above me is right!! I kinda got confused because i thought it was asking what sea level is the diver now BUT its asking for the elevation, so you need to subtract.
7 0
3 years ago
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