Therefore, cube root of 1000 is 10.
Step-by-step explanation:
= 3√1000
= 3√(10 × 10 × 10)
= 3√(103)
= 10
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:
35/80
u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.
there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...
example :
35/80 * 2/2 = 70/160...this is proportional
35/80 * 3/3 = 105/240...this is proportional
35/80 * 4/4 = 140/320...this is also proportional
and so on....
so without giving us any answer choices, there can be many numbers to choose from