All categories

2 years ago

Given :

Mathematics

1 answer:

pashok25 [27]2 years ago

8 0

$\\ \sf\longmapsto A=(1-4)-(2+1)$

$\\ \sf\longmapsto A=-3-3$

$\\ \sf\longmapsto A=-6$

$\\ \sf\longmapsto B=(3-\dfrac{1}{2})-(2-4)$

$\\ \sf\longmapsto B=\left(\dfrac{5}{2}\right)+2$

$\\ \sf\longmapsto B=\dfrac{5+4}{2}$

$\\ \sf\longmapsto B=\dfrac{9}{2}$

Now

$\\ \sf\longmapsto AB=-6\times \dfrac{9}{2}$

$\\ \sf\longmapsto AB=-3(9)$

$\\ \sf\longmapsto AB=-27$

$\\ \sf\longmapsto \dfrac{9}{2}\times (-6)$

$\\ \sf\longmapsto 9(-3)$

$\\ \sf\longmapsto -27$

Observed:-

$\\ \sf\longmapsto AB=BA$

You might be interested in

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$

Get rid of the double negative:

m= $\frac{4-1}{2+4}$

Solve:

m= $\frac{3}{6}$

Simplify:

m= $\frac{1}{2}$

Now that we know our slope, let's plug it in to our slope intercept form equation.

y= $\frac{1}{2}$ x+3

I hope this was helpful! Keep learning! :D

5 0

3 years ago

Your statement balance is 600.00 You have an outstanding checks for

pochemuha

Answer:

Step-by-step explanation:

600+125+175=900-400(deposit)=500

600-125-175-300-200=100+400=500

Brainliest Please :)

8 0

3 years ago

There are 600 counters in a bag 90 of them are yellow.

klio [65]

3 over 20 is the fraction in simplest form.

8 0

2 years ago

Read 2 more answers

Dolores spent $ 13.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Dolores spent?

Veronika [31]

Answer:

In order to find the fraction of the 20 dollars that has been spent, we have to divide the amount spent by the total amount. So 0.65 is the fraction of 20 that is spent.

Step-by-step explanation:

6 0

2 years ago

Please help me out !! i rlly need it!

maks197457 [2]

So we want to use the Pythagorean a^2 + b^2 = c^2

The answer is explained in photo. B

7 0

3 years ago