Answer:
x can be any value
Step-by-step explanation:
x can be any value and its output is always a constant 8.
Given:
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).
To find:
The type of the given triangle.
Solution:
Distance formula:
![D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using the distance formula, we get
![AB=\sqrt{(5-(-3))^2+(8-2)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%285-%28-3%29%29%5E2%2B%288-2%29%5E2%7D)
![AB=\sqrt{(8)^2+(6)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%288%29%5E2%2B%286%29%5E2%7D)
![AB=\sqrt{64+36}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B64%2B36%7D)
![AB=\sqrt{100}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B100%7D)
![AB=10](https://tex.z-dn.net/?f=AB%3D10)
Similarly,
![BC=\sqrt{(11-5)^2+(0-8)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%2811-5%29%5E2%2B%280-8%29%5E2%7D)
![BC=\sqrt{(6)^2+(8)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%286%29%5E2%2B%288%29%5E2%7D)
![BC=\sqrt{36+64}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B36%2B64%7D)
![BC=\sqrt{100}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B100%7D)
![BC=10](https://tex.z-dn.net/?f=BC%3D10)
And,
![AC=\sqrt{(11-(-3))^2+(0-2)^2}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%2811-%28-3%29%29%5E2%2B%280-2%29%5E2%7D)
![AC=\sqrt{(14)^2+(-2)^2}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%2814%29%5E2%2B%28-2%29%5E2%7D)
![AC=\sqrt{196+4}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B196%2B4%7D)
![AC=\sqrt{200}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B200%7D)
![AC=10\sqrt{2}](https://tex.z-dn.net/?f=AC%3D10%5Csqrt%7B2%7D)
Two sides of the triangle are equal, i.e.,
. So, the triangle is an isosceles triangle.
Sum of square of two smaller side is
![AB^2+BC^2=10^2+10^2](https://tex.z-dn.net/?f=AB%5E2%2BBC%5E2%3D10%5E2%2B10%5E2)
![AB^2+BC^2=100+100](https://tex.z-dn.net/?f=AB%5E2%2BBC%5E2%3D100%2B100)
![AB^2+BC^2=200](https://tex.z-dn.net/?f=AB%5E2%2BBC%5E2%3D200)
![AB^2+BC^2=AC^2](https://tex.z-dn.net/?f=AB%5E2%2BBC%5E2%3DAC%5E2)
Using the Pythagoras theorem, we can say that the given triangle is a right triangle.
Therefore, the correct options are B and F.
You divide -16 by 76 and then mutiply your answer by the number you got
Answer:
A) ( -8, -32 )
Step-by-step explanation:
Given function : f (x,y) = 21 - 4x^2 - 16y^2
point p( 1,1,1 ) on surface
Gradient of F
attached below is the detailed solution
Answer:
4.5
Step-by-step explanation:
1/2 times base times height
( Area of a triangle )
1/2(3)(3)
=4.5