Answer:
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
<u>finding</u><u> the</u><u> </u><u>tangent</u><u> </u><u>line</u>
equation of a line given by:
where:
- m is the slope
- b is the y-intercept
to 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:
<u>finding</u><u> the</u><u> </u><u>equation</u><u> </u><u>of </u><u>the</u><u> </u><u>normal</u><u> </u><u>line</u>
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)
Answer:
the total would be $291.10
Step-by-step explanation:
-56.80-234.30
Answer:
Step-by-step explanation:
If you're asking if a negative number times a negative number is positive, then yes this is true.
Answer:
D
Step-by-step explanation:
It makes the most sence.
function : y = (-x) - 6
<u>Find x-intercept</u> :
<u>Find y-intercept</u> :
mark these two points on both the axis and draw a straight linear graph.
passes coordinates : (0, -6), (-6, 0)