The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.
Since the plane passes through point (-5,9,10), the required plane is :
Π 1(x-(-5)+4(y-9)-3(z-10)=0
=>
Π x+4y-3z=1
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Hello :) = Merhaba :)
Answer:
<h3><u><em>
83°</em></u></h3>
Step-by-step explanation:
The total angle of a polygon and its external angle must be 180°.
So the inner angle of this polygon:
180 - 97 = 83° would.
NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.
<em><u>#Cevapistevereyim</u></em>
Başarılar :) = Achievements :)
Answer: 4x+10y
you can't simplify 4x+10y
