Answer:
Step-by-step explanation:
We have to find the equation of plane that is parallel to the vectors
The plane also passes through the point (2,0,-1).
Hence, the equation of plane s given by:
![\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-2%26y-0%26z%2B1%5C%5C3%260%263%5C%5C0%261%263%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%28x-2%29%280-3%29%20-%20%28y-0%29%289-0%29%20%2B%20%28z%2B1%29%283-0%29%5C%5C%3D-3%28x-2%29-9y%2B3%28z%2B1%29%5C%5C%5CRightarrow%20-3x%20%2B%206%20-%209y%20%2B%203z%20%2B%203%20%3D%200%5C%5C%5CRightarrow%203x%20%2B%209y%20-3z%20-9%20%3D%200%5C%5C%5CRightarrow%20x%20%2B%203y%20-z%20-%203%20%3D%200)
It is the required equation of plane.
First find the slope,
m=(y2-y1)/(x2-x1)=(1-(-9))/(7-6)=10
Next, use the point slope form to find the equation:
L : y-y1=m(x-x1) => y-1=10(x-7)
[in point slope form, point is (7,1), slope=m=10 ]
<span>8 - 3x - 5x = -8
8 - 8x = -8
-8x = -8 - 8
-8x = -16
8x = 16
x = 16/8
x = 2</span>
The missing side of the triangles are 5, 16.92, 7 and 5 respectively.
Step-by-step explanation:
- Step 1: Use the Pythagoras Theorem to find the missing sides.
a² + b² = c²
In the first triangle, a = 3, b = 4.
c² = 3² + 4² = 9 + 16 = 25
⇒ c = 5
∴ Missing side is 5
In the second triangle, a = 15, b = 8
c² = 15² + 8² = 225 + 64 = 289
⇒ c = 16.92
Missing side is 16.92
In the third triangle, b = 24, c = 25
a² = c² - b²
a² = 25² - 24² = 625 - 576 = 49
⇒ a = 7
Missing side is 7
In the fourth triangle, a = 12, c = 13
b² = c² - a²
b² = 13² - 12² = 169 - 144 = 25
⇒ b = 5
Missing side is 5
2 i believe because if .25 is equal to 1/8 then that mean the 4/8 would be equal to 1 and in turn 8/8 would equal 2.
