<span>y = sqrt(25-x^2) at point (3,4)
The derivative gives us the slope at 3 to be:
-2x
------------ at x=3: -3/4
2sqrt(25-x^2)
</span><span>so we have a vector that is parallel to the slope of the tangent line is: <4,-3>
</span>
<span>the mag = 5 so; unit tangent = <4/5 , -3/5>
</span>
<span>since perpendicular lines have a -1 product between slopes we get the normal to be...
<3/5,4/5>
</span>
<span>It is <4,-3> because it is rise over run. Rise is y component of vector and run is x component of vector.</span>
Answer:
C. 4
Step-by-step explanation:
-1/2 * (-8)
Replace -8 with a fraction
-1/2 * -8/1
Multiply the numerators
-1 * -8 = 8
Multiply the denominators
2*1 =2
Put the numerator over the denominator
8/2 = 4
Answer:
167244719280
167 billion 244 million 719 thousand, 280
Answer: translated according to the rule <span>(x, y) →(x + 8, y + 2) and reflected across the x-axis
Reasoning:
</span>1) The translation options are x + 8 or x + 2 and y + 2 or y + 8.
That means that the points are translated to the right and upward.
2) Then, you need to rotate the figure over the x-axis to translate it to the fourth quadrant.
To find the answer you can choose just one point to verify the rule.
3) Using the point D (-2,2) which is translated to D' (6, - 4) and knowing that the rotation over the x-axis keeps the x-coordinate unchanged while the y-coordinate is transformed into its negative, you can conclude that
3a) first the point was translated 8 units to the right and two units upward this is to a poin with x-coordinate -2 + 8 = 6 and y-coordinate 2 + 2 = 4
3b) second the point was reflected over the x -axis keeping the same x-coordinate x = 6 and transforming the y-coordinate into y = - 4.
So, the rule has been discovered: (x, y) →(x + 8, y + 2) and reflected across the x-axis
Answer:
I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!
One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation
so yeah hope this helped!
