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:
A dependent variable is a variable (often denoted by y ) whose value depends on that of another. so it is the variable that changes depending on the numbers beside it.
I hope this helps if not check out Khan academy
https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-dependent-independent/v/dependent-and-independent-variables-exercise-example-3
<h3>
Answer: 9/100</h3>
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Explanation:
There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)
The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.
We use the idea mentioned in the hint to multiply the fractions:
(3/10)*(3/10) = (3*3)/(10*10) = 9/100
The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.
Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.
Answer: Same-Side Interior Angles Theorem
Step-by-step explanation:
- Same-Side Interior Angles Theorem says that when two lines are parallel and a transversal intersects it , then the angles on the same interior side are supplementary.
We are given that Two parallel lines PQ and RS are drawn with KL as a transversal intersecting PQ at point M and RS at point N.
Angle QMN is shown congruent to angle LNS.
Also, angle QML and angle SNK are the angles lies on the same side of the transversal.
It means the measure of angle QML is supplementary to the measure of angle SNK [ By Same-Side Interior Angles Theorem ]
