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:
Step-by-step explanation:
1 st hit=12 ft
2nd hit=2*6=12 ft
3rd hit=2*3=6 ft
4th hit=2*1.5=3 ft
distance=12+12+6+3=33 ft
You got to * the 2 times 144 two
9514 1404 393
Answer:
- 3(2)^(n-1)
- 3(-2)^(n-1)
- 2(3)^(n-1)
- not geometric
- 2(-3)^(n-1)
Step-by-step explanation:
For these, you can find the appropriate formula by looking at the ratio of the first two terms. That will be the number in parentheses in the explicit formula. If there is no match, it is <em>not geometric</em>.
- 6/3 = 2 . . . an = 3(2)^(n-1)
- -6/3 = -2 . . . an = 3(-2)^(n-1)
- 6/2 = 3 . . . an = 2(3)^(n-1)
- 5/2 = 2.5 . . . not geometric (arithmetic sequence: an = 2+3(n -1))
- -6/2 = -3 . . . an = 2(-3)^(n-1)