If tangent to the curve y = √x is parallel to the line y = 8x, then this implies that the tangent to y = <span>√x has the same slope as the line y = 8x. In other words, the derivative (slope) function of y = √x is equal to the slope of the line y = 8x, which is m = 8. Hence y' = 8 once we find y'
y = </span><span>√x = x^(1/2)
Applying the power rule and simplifying, we find that the derivative is
y' = 1/(2</span>√x)
Now remember that y' must equal 8
1/(2<span>√x) = 8
Multiplying both sides by 2</span><span>√x, we obtain
1 = 16</span><span>√x
Dividing both sides by 16, yields
</span><span>√x = 1/16
But wait a minute, √x = y. Thus 1/16 must be the y-coordinate of the point at which the tangent to y = √x is drawn.
Squaring both sides, yields
x = 1/256
This is the x-coordinate of the point on the curve where the tangent is drawn.
</span><span>∴ the required point must be (1/256, 1/16)
GOOD LUCK!!!</span>
Since we are decreasing by 40%
The new value would be 100% - 40% = 60% of the value
New value = 60% of 800
= (60 / 100) * 800 = 480
Am giving you 480 as the answer.
Answer:
<u><em>FALSE</em></u>
Step-by-step explanation:
Because 15/33 is 0.454545454545...
& 22/46 is 0.47826086956
which, obviously, are not the same - or equal.
<em>MARK BRAINLIEST!</em>
3/10, 3/5, 4/5, 2/3 in order from least to greatest.
Molly had 60 laps of swimming
