Answer: ![f'(1)=\dfrac{4}{2y+1}](https://tex.z-dn.net/?f=f%27%281%29%3D%5Cdfrac%7B4%7D%7B2y%2B1%7D)
<u>Step-by-step explanation:</u>
To find the tangent, you need to find the derivative with respect to x.
Then substitute x = 1 into the derivative.
Given: 0 = 2x² - xy - y²
Derivative: 0 = 4x - y' - 2yy'
Solve for y': 2yy' + y' = 4x
y'(2y + 1) = 4x
![y'=\dfrac{4x}{2y+1}](https://tex.z-dn.net/?f=y%27%3D%5Cdfrac%7B4x%7D%7B2y%2B1%7D)
![\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}](https://tex.z-dn.net/?f=%5Ctext%7BSubstitute%20x%20%3D%201%3A%7D%5Cquad%20y%27%281%29%3D%5Cdfrac%7B4%7D%7B2y%2B1%7D)
I have added a screenshot with the complete question along with a diagram representing the scenario.
<u><em>Answer:</em></u>s = 22°
<u><em>Explanation:</em></u><u>1- getting the top right angle of line B:</u>We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
<u>Top right angle of line B = 158°</u>
<u>2- getting the value of s:</u>Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
<u>s = 22°</u>
Hope this helps :)
The answer would be 6.4% because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640%
45/4 * 4/3 = 45/3 is the answer
Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
![x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx-5x-5%2By%5E2%2B9y-y-9%3D0%5C%5Cx%5E%7B2%7D%20-4x%2By%5E2%2B8y-14%3D0%5C%5Ccompare%20with%20x%5E2%2By%5E2%2B2gx%2B2fy%2Bc%3D0%5C%5Ccenter%20%28-g%2C-f%29%20%5C%5Cradius%20r%3D%5Csqrt%7Bg%5E2%2Bf%5E2-c%7D)
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34