What are the y and x intercepts for -5x-4y=10

Mathematics

2 answers:

KatRina [158]3 years ago

7 0

Answer:

x-intercept(s) = (-2,0)

y-intercept(s) = (0, - 5/2)

Step-by-step explanation:

the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

x-intercept(s) = (-2,0)

y-intercept(s) = (0, - 5/2)

statuscvo [17]3 years ago

6 0

Answer:

x=-2,0 and y=0,-5/2

Step-by-step explanation:

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What is the completely simplified equivalent of 2/(5+i)?

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namely, let's rationalize the denominator in the fraction, for which case we'll be using the conjugate of that denominator, so we'll multiply top and bottom by its conjugate.

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.

$\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}$