Answer:
5.4
Step-by-step explanation:
The equations are equal so set them equal to each other and solve
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.
![\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B2%7D%7B5%2Bi%7D%5Ccdot%20%5Ccfrac%7B5-i%7D%7B5-i%7D%5Cimplies%20%5Ccfrac%7B2%285-i%29%7D%7B%5Cstackrel%7B%5Ctextit%7Bdifference%20of%20squares%7D%7D%7B%285%2Bi%29%285-i%29%7D%7D%5Cimplies%20%5Ccfrac%7B2%285-i%29%7D%7B%5Cstackrel%7B%5Ctextit%7Brecall%20%7Di%5E2%3D-1%7D%7B5%5E2-i%5E2%7D%7D%5Cimplies%20%5Ccfrac%7B2%285-i%29%7D%7B25-%28-1%29%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B2%285-i%29%7D%7B25%2B1%7D%5Cimplies%20%5Ccfrac%7B2%285-i%29%7D%7B26%7D%5Cimplies%20%5Ccfrac%7B5-i%7D%7B13%7D)
Answer: P = 0
Step-by-step explanation:
Solve for p by simplifying both sides of the equation, the isolating the variable.
-2p + 10p = 7p, P will equal 0.
***If you found my answer helpful, please give me the brainliest. :) ***
The answer is 6 people.
Half of the 12 people in the cafe would be 6 people. You can find half of a number by dividing it by two, or multiplying it by .5
Answer:
12
Step-by-step explanation:
this equation is in slope intercept form which is
y=mx+b
you just have to remember that m is your slope and b is your y intercept
therefore, the y intercept is 12