Answer:
I Know the answer because I am in k12 too.
The answer is 37.5%
Step-by-step explanation:
$80 - $50 = $30
$30 * 100 / $ 80 = 37.5%
answer: 37.5% of decrease.
I believe this is right but I’m not 100%
Answer: The approximate f(1.1,-0.1) is 4.92.
Step-by-step explanation:
Since we have given that
![f(x,y)=5xe^{xy}](https://tex.z-dn.net/?f=f%28x%2Cy%29%3D5xe%5E%7Bxy%7D)
at (1,0),
we get ![f(1,0)=5](https://tex.z-dn.net/?f=f%281%2C0%29%3D5)
Partial derivative would be
![f_x=5e^{xy}+5xye^{xy}=5e^{xy}(1+xy)](https://tex.z-dn.net/?f=f_x%3D5e%5E%7Bxy%7D%2B5xye%5E%7Bxy%7D%3D5e%5E%7Bxy%7D%281%2Bxy%29)
So,
![f_x(1,0)=5](https://tex.z-dn.net/?f=f_x%281%2C0%29%3D5)
Similarly,
![f_y=5x^2ye^{xy}](https://tex.z-dn.net/?f=f_y%3D5x%5E2ye%5E%7Bxy%7D)
So, ![f_y(1,0)=5](https://tex.z-dn.net/?f=f_y%281%2C0%29%3D5)
Now,
![L(x,y)=f(1,0)+f_x(1,0)(x-1)+f_y(1,0)(y-0)\\\\L(x,y)=5+5(x-1)+5y\\\\L(x,y)=5+5x-5+5y\\\\L(x,y)=5x+5y](https://tex.z-dn.net/?f=L%28x%2Cy%29%3Df%281%2C0%29%2Bf_x%281%2C0%29%28x-1%29%2Bf_y%281%2C0%29%28y-0%29%5C%5C%5C%5CL%28x%2Cy%29%3D5%2B5%28x-1%29%2B5y%5C%5C%5C%5CL%28x%2Cy%29%3D5%2B5x-5%2B5y%5C%5C%5C%5CL%28x%2Cy%29%3D5x%2B5y)
L(1.1,-0.1)=![5(1.1)-5(0.1)=5](https://tex.z-dn.net/?f=5%281.1%29-5%280.1%29%3D5)
and
f(1.1,-0.1) = ![5(1.1)e^{1.1\times -0.1}=4.92](https://tex.z-dn.net/?f=5%281.1%29e%5E%7B1.1%5Ctimes%20-0.1%7D%3D4.92)
Hence, the approximate f(1.1,-0.1) is 4.92.
Answer:
y=1/5x-3
Step-by-step explanation:
Start by finding the slope:
Slope = (y₂-y₁)/(x₂-x₁)
Now we plug in the coordinates:
Slope = (12-(-3))/(-3-0)=(12+3)/(-3)=15/-3=-5
The slope intercept equation would be
y=mx+b
Slope is m and y-intercept is b. x and y and the x and y-coordinates.
Now we plug in one of the x and y coordinate pairs into the equation:
-3=-5(0)+b
b=-3
So the equation of the line would be
y=-5x-3
<em>But the slope of a perpendicular line is the negative reciprocal of the original equation</em>
So...
y=1/5x-3
Corresponding Parts of Congruent Figures. The word corresponding refers to parts that match between two congruent triangles. ... Corresponding angles are matching angles between the two triangles. Corresponding angles will have the same measure in congruent triangles