Let 1 number equal x
<span>Let the other number equal 1/2x + 6
x + (1/2x + 6) =21
1 & 1/2 x + 6 =21
1 & 1/2 x =15
</span>
Answer:
It is 26cm.
Step-by-step explanation:
Do Pythagorean theorem, a^2+b^2=c^2
So 24^2+10^2,
576+100,
676.
Next, we square root it to simplify c^2 to get c by itself
(sqrt)676,
26.
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:
= 64 - 4 =60
Step-by-step explanation:
