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25.06.2021 •
Mathematics
`find the equatifindon of tangent and normal of parabola y²=16ax at point whose coordinate is -5a.
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Ответ:
Step-by-step explanation:
we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola
finding the tangent line
equation of a line given by:
where:
m is the slopeb is the y-interceptto find m take derivative In both sides of the equation of parabola
divide both sides by 2y:
substitute the given value of y:
simplify:
therefore
now we need to figure out the x coordinate to do so we can use the Parabola equation
simplify:
we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
finding the equation of the normal line
normal line has negative reciprocal slope of tangent line therefore
once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
and we're done!
( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)
Ответ:
In attachment
Step-by-step explanation:
For answer refer to attachment .
Ответ:
6
Step-by-step explanation:
If her lunch weighs a pound, and her gym clothes weigh two pounds, then she must have six books in her backpack.
1 + 2 + 6 = 9