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>
Answer:
323
Step-by-step explanation:
Answer:
$267.15
Step-by-step explanation:
The way my math teacher showed me to do it is take the price you paid and multiply it by 1.x (x being the amount of the discount).
In doing that, $205.50 multiplied by 1.30 is $267.15 and the original price of the jersey.
Hope this helps :)
Answer:
2W + 56 = 78 , W = 10
Step-by-step explanation:
perimeter of rectangle = 2*the Length + 2*the Width
<span>By similarity of triangles we have the following relationship:</span><span> </span><span> (y) / (12) = (37.5) / (20)</span><span> </span><span> Rewriting we have:</span>
<span> (y) = ((37.5) / (20)) * (12)</span>
<span> Simplifying we have:</span>
<span> y = (1,875) * (12)</span>
<span> Then, the value of y is:
</span><span>
</span><span><span> y = 22.5</span></span><span /><span /><span /><span><span> </span></span><span><span> Answer: </span></span><span><span>
</span></span><span><span><span><span> The value of y is:</span></span></span></span><span><span><span><span><span> </span></span></span></span></span><span><span><span><span><span> y = 22.5</span></span>
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