The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>
<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>
<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>
<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>
<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c. hope this helps :D</span>
Answer:
False
Step-by-step explanation:
Answer:
$3.46 or $3.92
Step-by-step explanation:
it has to be $3.46 because you have to remember that tax is included and it could cost more than what you are paying for the sandwich or drink. but the other possible answer is $3.92 if you're not paying any tax.
Y = mx + b
slope(m) = -3
(-2,3)....x = -2 and y = 3
now we sub into the formula and find b, the y int
3 = -3(-2) + b
3 = 6 + b
3 - 6 = b
-3 = b
so ur equation is : y = -3x - 3 <==
9514 1404 393
Answer:
the solution set will be non-empty
Step-by-step explanation:
The original inequalities describe regions bounded by parallel lines. The solution is the intersection of the region above the upper line and below the lower line. There is no intersection of those regions, so there is no solution to the original inequalities.
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When the inequality symbols are reversed, the solution region is the intersection of the region below the upper line and above the lower line. That is, the solution region now exists and is the space between the lines (not including the lines themselves). A graph of this new solution region is attached.
