namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

Answer:
For blue its 3/12 = 1/4 = 25%
For red it's 6/12= 1/2= 50%
For green 2/12= 1/6= 17%
For black 1/12= 8%
Step-by-step explanation:
All you have to do is add up all the marbles 3 + 6 + 2 + 1 = 12 and then you put the number of marbles for each color and divide it by 12 which gives you those percentages. I don't know if you wanted the answers in percentages or fractions so I gave you both . Good luck!!
Answer:
130^2 or 130 meters squared
Step-by-step explanation:
I decomposed the figure, then found the area of the decomposed figures then found the sum of them.
FIGURE A:
3 x 3 = 9
= 9^2
FIGURE B:
11 x 11 = 121
= 121 meters^2
So 121 + 9 = 130
= 130 meters^2
REMEMBER!!!!
THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA
Answer:
Both graphs can be used.
Step-by-step explanation:
because the time and the difficultly of the grade both depend on how long they take. Therefore it would be both graphs can be used.
I’m pretty sure you can make four if you’re distributing them evenly because they can both be decided by four so each kit would get 5 water bottles and 3 cans. I’m not 100% sure but lmk if it helped :)