Factor by grouping (sometimes called the ac-method).
8x^2+2x-3
first, choose a form with appropriate signs.
then, fill in the blanks with numbers to be used for grouping.
finally, show the factorization.

Step-by-step explanation:

The arc method is basically finding what the a and c coefficients multiply to, and then finding the factors of that that add up to b.

Since we have the quadratic in the ax^2+bx+c form we don't have to adjust anything.  Now, a = 8, b = 2 and c = -3.  a*c = -24 so now we want to find all the factors of that.

-1 and 24

1 and -24

-2 and 12

2 and -12

-3 and 8

3 and -8

-4 and 6

4 and -6

And after that they repeat.  It is important to note that you can use negative on either side, or if a*c was a positive number you could multiply two negatives like 24 can be  and 12 as well as -1 and -12.

Now we want to look at all the factor pairs  and find one that add together to equal 2 because b = 2.  -4 + 6 does it, so there's our choice.  Now we can rewrite the original quadratic as 8x^2-4x+6x-3.  You can check that this is equivalent by combining like terms It's the same as rewriting it as 8x^2+2x-2-1 because -2 and -1 will combine to get -3.  Anyway, now we can factor.

8x^2-4x+6x-3  You can imagine there being two sets of parenthesis.

( 8x^2-4x)+(+6x-3)  Now from here we can factor something out of each parenthesis.  e can factor out 4x fromt he first and 3 from the second.

4x(2x-1)+3(2x-3)  Now, it may not be obvious but you can factor 2x-3 from each term.  If that's not clear pretend 2x-3 = u

4xu + 3u  Now hopefully it is clear you can factor out this u

u(4x+3)  Then we know u = 2x-3 so

(2x-3)(4x+3)  And it's factored.

I do want to mention you could have done this with  8x^2+6x-4x-3 with the +6 and -4 switched.  I won't go through it here but it may help to do it yourself if you still don't quite understand.  Let me know if there is something I can further explain though.  

idk

step-by-step explanation:

i don't know

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.