4m-9 cannot be simplified further. But we could express it as something a bit more complex, e.g.,

$$\textcolor[rgb]{0,0,1}{(2\sqrt m\ -\ 3)(2\sqrt m\ +\ 3)}\\\\\\$$        🎎     

We have

Final Height = -4.91t^2 + Initial Height  .....therefore ....

0 = -4.91t^2 + 80   subtract 80 from both sides

-80 = -4.91t^2        divide both sides by -4.91

[80/4.91]= t^2                take the  positive root of both sides

√[80/4.91] = t = about  4.036 seconds

Thanks and just for laughs..A bicycle can't stand on its own because it is two-tired.

Very nice, saseflower....!!!

You can also do it in a proportion (which is easier for me personally)

Plus, when it asks you what percent is 23 of 40 then it's waaay easier than multiplying (I'm not sure you can do it any other way besides proportions)

73/100 = x/60 since you dont know what is of 60

cross multiply

100x = 4380

now divide by 100 on both sides

x = 43.8

x = 43.8%

I dont really know how to explain it but here's an example:

5x + 7x + 2 - 2x + 7 + x

(This is how I do it) I first do combine x's because the first term is 5x

5x + 7x - 2x + x

11x

11x + 2 + 7

Then i combine 2 + 7

9

11x + 9

9+10=19

what is9+10

The horizontal component is given by

1200 cos(6)  = about 1193.42 ft / s

And the vertical component is just

1200 sin(6) = about 125.43 ft / s

9 + 10 = 19

Aaron is saving money to buy a puzzle to work with his sister.He has 7 quarters,11 dimes,5 nickles,and 17 pennies how much money has he saved?

7 quarters  = $ 1.75  +

11 dimes  =   $ 1.10  +

5 nickels =     $  .25   +

17 pennies =  $  .17   =

                     --------

                     $3.27

$3.27

Thanks and just for laughs.. what does a butcher weigh? meat.

The answer is given by

10/tan(27) - 10/tan(28) = about .82 km

Here's an approximate diagram.....

7.3 times 6=43.8 so the answer is 43.8

18 divided by 7 and 1/5=2.5

In a rhombus, the diagonals bisect each other as well as the the vertex angles and adjacent angles are supplementary......so assuming that the 70 degree angle is opposite the 122cm diagonal, we have

(1/2 length of the shorter diagonal) / sin (35)  = (1/2 length of the longer diagonal) / sin(55)

Multiply both sides by 2

( length of the shorter diagonal) / sin (35)  = ( length of the longer diagonal) / sin(55)

Multiply both sides by sin(55)

length of the longer diagonal = sin (55) (122 cm) / sin (35) = about 174 cm

Here's a 1/10 scale diagram......

[15 + 1/2 ] - [ 2 + 3/4 ] - [6 + 2/3 ]......convertng these to improper fractions, we have

[31 /2 ]  - [11 / 4 ]  - [ 20 / 3 ]        getting a common denominator (12), we have

[186 / 12] -  [33 / 12 ]  -  [ 80 / 12 ] =  73 / 12 inches  = about  6.0833 inches left

🚶

YouYou rang?

The second one would be used to determine a person's age......

Jenny made 875£

x³=90

Just take the cube root of both sides

x = ³√90  = about  ...   4.4814

Technically, a line doesn't have a midpoint, since its length is infinite....

But, if you're talking about a segment, we just add the x coordinates of the endpoints and divide this by 2, and then do the same with the y coordinates of the endpoints, thusly:

midpoint of a segment = ( [ x₁ + x₂ ] /2, [y₁ + y₂] / 2 )   ......where (x₁, y₁), (x₂, y₂) are the segment endpoints

   [3x^2 - 10]

-  [2x^2 - 18x)

-------------------

x^2 + 18x - 10

12345678997654321111111110000000

The population density is measured by:

population /  area  = 68,986 / 12,500 km^2 = about 5.5 people/km^2